[{"researchdata_availability":"no","year":"2024","ddc":["514","516","004"],"status":"public","abstract":[{"text":"Many chemical and physical properties of materials are determined by the material’s shape,\r\nfor example the size of its pores and the width of its tunnels. This makes materials science\r\na prime application area for geometrical and topological methods. Nevertheless many\r\nmethods in topological data analysis have not been satisfyingly extended to the needs of\r\nmaterials science. This thesis provides new methods and new mathematical theorems\r\ntargeted at those specific needs by answering four different research questions. While the\r\nmotivation for each of the research questions arises from materials science, the methods\r\nare versatile and can be applied in different areas as well. \r\n\r\nThe first research question is concerned with image data, for example a three-dimensional\r\ncomputed tomography (CT) scan of a material, like sand or stone. There are two commonly\r\nused topologies for digital images and depending on the application either of them might be\r\nrequired. However, software for computing the topological data analysis method persistence\r\nhomology, usually supports only one of the two topologies. We answer the question how to\r\ncompute persistent homology of an image with respect to one of the two topologies using\r\nsoftware that is intended for the other topology. \r\n\r\nThe second research question is concerned with image data as well, and asks how much\r\nof the topological information of an image is lost when the resolution is coarsened. As\r\ncomputer tomography scanners are more expensive the higher the resolution, it is an\r\nimportant question in materials science to know which resolution is enough to get satisfying\r\npersistent homology. We give theoretical bounds on the information loss based on different\r\ngeometrical properties of the object to be scanned. In addition, we conduct experiments on\r\nsand and stone CT image data. \r\n\r\nThe third research question is motivated by comparing crystalline materials efficiently. As\r\nthe atoms within a crystal repeat periodically, crystalline materials are either modeled by\r\nunmanageable infinite periodic point sets, or by one of their fundamental domains, which is\r\nunstable under perturbation. Therefore a fingerprint of crystalline materials is needed, with\r\nappropriate properties such that comparing the crystals can be eased by comparing the\r\nfingerprints instead. We define the density fingerprint and prove the necessary properties. \r\n\r\nThe fourth research question is motivated by studying the hole-structure or connectedness,\r\ni.e. persistent homology or merge trees, of crystalline materials. A common way to deal\r\nwith periodicity is to take a fundamental domain and identify opposite boundaries to form a\r\ntorus. However, computing persistent homology or merge trees on that torus loses some\r\nof the information materials scientists are interested in and is additionally not stable under\r\ncertain noise. We therefore decorate the merge tree stemming from the torus with additional\r\ninformation describing the density and growth rate of the periodic copies of a component\r\nwithin a growing spherical window. We prove all desired properties, like stability and efficient\r\ncomputability.","lang":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"corr_author":"1","oa":1,"file_date_updated":"2024-12-19T10:24:50Z","author":[{"first_name":"Teresa","id":"4879BB4E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1780-2689","full_name":"Heiss, Teresa","last_name":"Heiss"}],"publisher":"Institute of Science and Technology Austria","alternative_title":["ISTA Thesis"],"OA_place":"publisher","supplementarymaterial":"no","month":"12","date_published":"2024-12-17T00:00:00Z","doi_confirm":"1","ec_funded":1,"degree_awarded":"PhD","date_created":"2024-12-17T16:17:55Z","acknowledgement":"I was supported by the European Research Council (ERC) Horizon 2020 project\r\n“Alpha Shape Theory Extended” No. 788183 and by the Pöttinger Scholarship. In addition,\r\nI am very thankful for having been able to attend the second Workshop for Women in\r\nComputational Topology in July 2019, funded by the Mathematical Sciences Institute at\r\nANU, the US National Science Foundation through the award CCF-1841455, the Australian\r\nMathematical Sciences Institute and the Association for Women in Mathematics. Two of the\r\nprojects presented in this thesis started there. One of them reached completion thanks to\r\nfunding from the MSRI Summer Research in Mathematics program awarded to me and my\r\ncollaborators in 2020.","department":[{"_id":"GradSch"},{"_id":"HeEd"}],"das_tickbox":"0","date_updated":"2026-10-02T11:55:42Z","file":[{"file_size":7752253,"file_id":"18686","content_type":"application/pdf","relation":"main_file","checksum":"247bb057aed2fba1cd4711917aaa2d77","file_name":"Teresa_Heiss_PhD_Thesis_final.pdf","date_created":"2024-12-19T10:24:46Z","success":1,"creator":"theiss","access_level":"open_access","date_updated":"2024-12-19T10:24:46Z"},{"file_name":"PhD_Thesis.zip","date_created":"2024-12-19T10:24:50Z","checksum":"9648b45c07a008ee11a07f99856a139d","creator":"theiss","date_updated":"2024-12-19T10:24:50Z","access_level":"closed","file_id":"18687","file_size":17197731,"relation":"source_file","content_type":"application/zip"}],"doi":"10.15479/at:ista:18667","keyword":["persistent homology","topological data analysis","periodic","crystalline materials","images","fingerprint"],"_id":"18667","day":"17","fulldoi":"https://doi.org/10.15479/at:ista:18667","language":[{"iso":"eng"}],"oa_version":"Published Version","article_processing_charge":"No","type":"dissertation","has_accepted_license":"1","project":[{"_id":"266A2E9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Alpha Shape Theory Extended","grant_number":"788183"}],"related_material":{"record":[{"relation":"part_of_dissertation","id":"10828","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"11440"},{"id":"9345","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"18673","relation":"part_of_dissertation"}]},"page":"111","supervisor":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner"}],"publication_status":"published","publication_identifier":{"isbn":["978-3-99078-052-7"],"issn":["2663-337X"]},"title":"New methods for applying topological data analysis to materials science","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"ieee":"T. Heiss, “New methods for applying topological data analysis to materials science,” Institute of Science and Technology Austria, 2024.","mla":"Heiss, Teresa. <i>New Methods for Applying Topological Data Analysis to Materials Science</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:18667\">10.15479/at:ista:18667</a>.","short":"T. Heiss, New Methods for Applying Topological Data Analysis to Materials Science, Institute of Science and Technology Austria, 2024.","ama":"Heiss T. New methods for applying topological data analysis to materials science. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:18667\">10.15479/at:ista:18667</a>","apa":"Heiss, T. (2024). <i>New methods for applying topological data analysis to materials science</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:18667\">https://doi.org/10.15479/at:ista:18667</a>","ista":"Heiss T. 2024. New methods for applying topological data analysis to materials science. Institute of Science and Technology Austria.","chicago":"Heiss, Teresa. “New Methods for Applying Topological Data Analysis to Materials Science.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:18667\">https://doi.org/10.15479/at:ista:18667</a>."}},{"citation":{"apa":"Cultrera di Montesano, S. (2024). <i>Persistence and Morse theory for discrete geometric structures</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:15094\">https://doi.org/10.15479/at:ista:15094</a>","ieee":"S. Cultrera di Montesano, “Persistence and Morse theory for discrete geometric structures,” Institute of Science and Technology Austria, 2024.","mla":"Cultrera di Montesano, Sebastiano. <i>Persistence and Morse Theory for Discrete Geometric Structures</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:15094\">10.15479/at:ista:15094</a>.","ama":"Cultrera di Montesano S. Persistence and Morse theory for discrete geometric structures. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:15094\">10.15479/at:ista:15094</a>","short":"S. Cultrera di Montesano, Persistence and Morse Theory for Discrete Geometric Structures, Institute of Science and Technology Austria, 2024.","ista":"Cultrera di Montesano S. 2024. Persistence and Morse theory for discrete geometric structures. Institute of Science and Technology Austria.","chicago":"Cultrera di Montesano, Sebastiano. “Persistence and Morse Theory for Discrete Geometric Structures.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:15094\">https://doi.org/10.15479/at:ista:15094</a>."},"supervisor":[{"last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert"}],"publication_status":"published","publication_identifier":{"issn":["2663-337X"]},"title":"Persistence and Morse theory for discrete geometric structures","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","type":"dissertation","has_accepted_license":"1","project":[{"call_identifier":"H2020","_id":"266A2E9E-B435-11E9-9278-68D0E5697425","grant_number":"788183","name":"Alpha Shape Theory Extended"},{"call_identifier":"FWF","_id":"268116B8-B435-11E9-9278-68D0E5697425","name":"Mathematics, Computer Science","grant_number":"Z00342"},{"name":"Persistent Homology, Algorithms and Stochastic Geometry","grant_number":"I4887","_id":"0aa4bc98-070f-11eb-9043-e6fff9c6a316"},{"grant_number":"I02979-N35","name":"Persistence and stability of geometric complexes","call_identifier":"FWF","_id":"2561EBF4-B435-11E9-9278-68D0E5697425"}],"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"15090"},{"status":"public","relation":"part_of_dissertation","id":"11658"},{"id":"11660","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"13182","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","status":"public","id":"15091"},{"relation":"part_of_dissertation","status":"public","id":"15093"}]},"page":"108","doi":"10.15479/at:ista:15094","day":"08","_id":"15094","fulldoi":"https://doi.org/10.15479/at:ista:15094","oa_version":"Published Version","language":[{"iso":"eng"}],"article_processing_charge":"No","ec_funded":1,"date_created":"2024-03-08T15:28:10Z","degree_awarded":"PhD","department":[{"_id":"GradSch"},{"_id":"HeEd"}],"das_tickbox":"0","date_updated":"2026-10-02T11:57:31Z","file":[{"file_id":"15112","file_size":4106872,"content_type":"application/pdf","relation":"main_file","file_name":"Thesis Sebastiano.pdf","success":1,"date_created":"2024-03-14T08:55:07Z","checksum":"1e468bfa42a7dcf04d89f4dadc621c87","date_updated":"2024-03-14T08:55:07Z","access_level":"open_access","creator":"scultrer"},{"creator":"scultrer","date_updated":"2024-03-14T14:14:35Z","access_level":"closed","file_name":"Thesis (1).zip","date_created":"2024-03-14T08:56:24Z","checksum":"bcbd213490f5a7e68855a092bbce93f1","relation":"source_file","content_type":"application/zip","file_id":"15113","file_size":4746234}],"OA_place":"publisher","supplementarymaterial":"no","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","month":"03","date_published":"2024-03-08T00:00:00Z","doi_confirm":"1","abstract":[{"text":"Point sets, geometric networks, and arrangements of hyperplanes are fundamental objects in\r\ndiscrete geometry that have captivated mathematicians for centuries, if not millennia. This\r\nthesis seeks to cast new light on these structures by illustrating specific instances where a\r\ntopological perspective, specifically through discrete Morse theory and persistent homology,\r\nprovides valuable insights.\r\n\r\nAt first glance, the topology of these geometric objects might seem uneventful: point sets\r\nessentially lack of topology, arrangements of hyperplanes are a decomposition of Rd, which\r\nis a contractible space, and the topology of a network primarily involves the enumeration\r\nof connected components and cycles within the network. However, beneath this apparent\r\nsimplicity, there lies an array of intriguing structures, a small subset of which will be uncovered\r\nin this thesis.\r\n\r\nFocused on three case studies, each addressing one of the mentioned objects, this work\r\nwill showcase connections that intertwine topology with diverse fields such as combinatorial\r\ngeometry, algorithms and data structures, and emerging applications like spatial biology.\r\n\r\n","lang":"eng"}],"tmp":{"image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","short":"CC BY-NC-SA (4.0)","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)"},"corr_author":"1","file_date_updated":"2024-03-14T14:14:35Z","oa":1,"author":[{"id":"34D2A09C-F248-11E8-B48F-1D18A9856A87","first_name":"Sebastiano","orcid":"0000-0001-6249-0832","full_name":"Cultrera di Montesano, Sebastiano","last_name":"Cultrera di Montesano"}],"publisher":"Institute of Science and Technology Austria","alternative_title":["ISTA Thesis"],"researchdata_availability":"no","year":"2024","ddc":["514","500","516"],"status":"public"},{"abstract":[{"lang":"eng","text":"We present a dynamic data structure for maintaining the persistent homology of a time series of real numbers. The data structure supports local operations, including the insertion and deletion of an item and the cutting and concatenating of lists, each in time O(log n + k), in which n counts the critical items and k the changes in the augmented persistence diagram. To achieve this, we design a tailor-made tree structure with an unconventional representation, referred to as banana tree, which may be useful in its own right."}],"corr_author":"1","oa":1,"author":[{"last_name":"Cultrera di Montesano","full_name":"Cultrera di Montesano, Sebastiano","orcid":"0000-0001-6249-0832","first_name":"Sebastiano","id":"34D2A09C-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Edelsbrunner, Herbert","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner"},{"last_name":"Henzinger","first_name":"Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","orcid":"0000-0002-5008-6530","full_name":"Henzinger, Monika H"},{"first_name":"Lara","full_name":"Ost, Lara","last_name":"Ost"}],"publisher":"Society for Industrial and Applied Mathematics","researchdata_availability":"no","year":"2024","publication":"Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)","scopus_import":"1","quality_controlled":"1","status":"public","ec_funded":1,"date_created":"2024-03-08T10:27:39Z","acknowledgement":"The  first  and  second  authors  are  funded  by  the  European  Research  Council  under  the European Union’s Horizon 2020 research and innovation programme, ERC grant no. 788183,“Alpha Shape Theory Extended (Alpha)”, by the Wittgenstein Prize, FWF grant no. Z 342-N31, and by the DFG Collaborative Research Center TRR 109, FWF grant no. I 02979-N35.The third author received funding by the European Research Council under the European Union’s Horizon 2020research  and  innovation  programme,  ERC  grant  no.  101019564,  “The  Design  of  Modern  Fully  Dynamic  DataStructures (MoDynStruct)”, and by the Austrian Science Fund through the Wittgenstein Prize with FWF grant no. Z 422-N, and also by FWF grant no. I 5982-N, and by FWF grant no. P 33775-N, with additional funding from the netidee SCIENCE Stiftung, 2020–2024.  The fourth author is funded by the Vienna Graduate School on Computational Optimization, FWF project no. W1260-N35.","editor":[{"last_name":"Woodruff","full_name":"Woodruff, David P.","first_name":"David P."}],"department":[{"_id":"HeEd"},{"_id":"MoHe"}],"das_tickbox":"0","date_updated":"2026-10-02T11:57:32Z","supplementarymaterial":"no","month":"01","date_published":"2024-01-04T00:00:00Z","type":"conference","project":[{"name":"Alpha Shape Theory Extended","grant_number":"788183","call_identifier":"H2020","_id":"266A2E9E-B435-11E9-9278-68D0E5697425"},{"name":"Mathematics, Computer Science","grant_number":"Z00342","_id":"268116B8-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"grant_number":"101019564","name":"The design and evaluation of modern fully dynamic data structures","call_identifier":"H2020","_id":"bd9ca328-d553-11ed-ba76-dc4f890cfe62"},{"grant_number":"Z00422","name":"Efficient algorithms","_id":"34def286-11ca-11ed-8bc3-da5948e1613c"},{"grant_number":"P33775","name":"Fast Algorithms for a Reactive Network Layer","_id":"bd9e3a2e-d553-11ed-ba76-8aa684ce17fe"}],"arxiv":1,"related_material":{"record":[{"id":"15094","relation":"dissertation_contains","status":"public"}]},"page":"243 - 295","doi":"10.1137/1.9781611977912.11","_id":"15093","day":"04","fulldoi":"https://doi.org/10.1137/1.9781611977912.11","oa_version":"Preprint","language":[{"iso":"eng"}],"article_processing_charge":"No","citation":{"short":"S. Cultrera di Montesano, H. Edelsbrunner, M. Henzinger, L. Ost, in:, D.P. Woodruff (Ed.), Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Society for Industrial and Applied Mathematics, 2024, pp. 243–295.","ama":"Cultrera di Montesano S, Edelsbrunner H, Henzinger M, Ost L. Dynamically maintaining the persistent homology of time series. In: Woodruff DP, ed. <i>Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)</i>. Society for Industrial and Applied Mathematics; 2024:243-295. doi:<a href=\"https://doi.org/10.1137/1.9781611977912.11\">10.1137/1.9781611977912.11</a>","ieee":"S. Cultrera di Montesano, H. Edelsbrunner, M. Henzinger, and L. Ost, “Dynamically maintaining the persistent homology of time series,” in <i>Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)</i>, Alexandria, VA, USA, 2024, pp. 243–295.","mla":"Cultrera di Montesano, Sebastiano, et al. “Dynamically Maintaining the Persistent Homology of Time Series.” <i>Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)</i>, edited by David P. Woodruff, Society for Industrial and Applied Mathematics, 2024, pp. 243–95, doi:<a href=\"https://doi.org/10.1137/1.9781611977912.11\">10.1137/1.9781611977912.11</a>.","apa":"Cultrera di Montesano, S., Edelsbrunner, H., Henzinger, M., &#38; Ost, L. (2024). Dynamically maintaining the persistent homology of time series. In D. P. Woodruff (Ed.), <i>Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)</i> (pp. 243–295). Alexandria, VA, USA: Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/1.9781611977912.11\">https://doi.org/10.1137/1.9781611977912.11</a>","chicago":"Cultrera di Montesano, Sebastiano, Herbert Edelsbrunner, Monika Henzinger, and Lara Ost. “Dynamically Maintaining the Persistent Homology of Time Series.” In <i>Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)</i>, edited by David P. Woodruff, 243–95. Society for Industrial and Applied Mathematics, 2024. <a href=\"https://doi.org/10.1137/1.9781611977912.11\">https://doi.org/10.1137/1.9781611977912.11</a>.","ista":"Cultrera di Montesano S, Edelsbrunner H, Henzinger M, Ost L. 2024. Dynamically maintaining the persistent homology of time series. Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). SODA: Symposium on Discrete Algorithms, 243–295."},"main_file_link":[{"url":"https://arxiv.org/abs/2311.01115","open_access":"1"}],"conference":{"start_date":"2024-01-07","name":"SODA: Symposium on Discrete Algorithms","location":"Alexandria, VA, USA","end_date":"2024-01-10"},"external_id":{"arxiv":["2311.01115"]},"publication_identifier":{"eisbn":["9781611977912"]},"publication_status":"published","title":"Dynamically maintaining the persistent homology of time series","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","external_id":{"arxiv":["2209.14993"]},"publication_status":"draft","title":"Discrete microlocal Morse theory","citation":{"short":"A. Brown, O. Draganov, ArXiv (n.d.).","ama":"Brown A, Draganov O. Discrete microlocal Morse theory. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2209.14993\">10.48550/arXiv.2209.14993</a>","mla":"Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2209.14993\">10.48550/arXiv.2209.14993</a>.","ieee":"A. Brown and O. Draganov, “Discrete microlocal Morse theory,” <i>arXiv</i>. .","apa":"Brown, A., &#38; Draganov, O. (n.d.). Discrete microlocal Morse theory. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2209.14993\">https://doi.org/10.48550/arXiv.2209.14993</a>","chicago":"Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2209.14993\">https://doi.org/10.48550/arXiv.2209.14993</a>.","ista":"Brown A, Draganov O. Discrete microlocal Morse theory. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2209.14993\">10.48550/arXiv.2209.14993</a>."},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2209.14993"}],"article_processing_charge":"No","doi":"10.48550/arXiv.2209.14993","_id":"18981","day":"09","language":[{"iso":"eng"}],"fulldoi":"https://doi.org/10.48550/arXiv.2209.14993","oa_version":"Preprint","arxiv":1,"related_material":{"record":[{"id":"20323","relation":"later_version","status":"public"},{"relation":"dissertation_contains","status":"public","id":"18979"}]},"type":"preprint","project":[{"name":"Alpha Shape Theory Extended","grant_number":"788183","call_identifier":"H2020","_id":"266A2E9E-B435-11E9-9278-68D0E5697425"},{"name":"Mathematics, Computer Science","grant_number":"Z00342","_id":"268116B8-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"name":"Persistence and stability of geometric complexes","grant_number":"I02979-N35","_id":"2561EBF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"date_published":"2024-06-09T00:00:00Z","supplementarymaterial":"no","OA_place":"repository","month":"06","das_tickbox":"0","date_updated":"2026-10-02T11:57:00Z","ec_funded":1,"date_created":"2025-01-31T17:03:04Z","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme, grant no. 788183, from the Wittgenstein Prize,\r\nAustrian Science Fund (FWF), grant no. Z 342-N31, and from the DFG Collaborative Research Center TRR\r\n109, ‘Discretization in Geometry and Dynamics’, Austrian Science Fund (FWF), grant no. I 02979-N35.","department":[{"_id":"HeEd"}],"status":"public","researchdata_availability":"no","year":"2024","publication":"arXiv","corr_author":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"abstract":[{"text":"We establish several results combining discrete Morse theory and microlocal sheaf theory in the setting of finite posets and simplicial complexes. Our primary tool is a computationally tractable description of the bounded derived category of sheaves on a poset with the Alexandrov topology. We prove that each bounded complex of sheaves on a finite poset admits a unique (up to isomorphism of complexes) minimal injective resolution, and we provide algorithms for computing minimal injective resolution of an injective complex, as well as several useful functors between derived categories of sheaves. For the constant sheaf on a simplicial complex, we give asymptotically tight bounds on the complexity of computing the minimal injective resolution using those algorithms. Our main result is a novel definition of the discrete microsupport of a bounded complex of sheaves on a finite poset. We detail several foundational properties of the discrete microsupport, as well as a microlocal generalization of the discrete homological Morse theorem and Morse inequalities.","lang":"eng"}],"oa":1,"author":[{"last_name":"Brown","first_name":"Adam","full_name":"Brown, Adam"},{"last_name":"Draganov","orcid":"0000-0003-0464-3823","first_name":"Ondrej","id":"2B23F01E-F248-11E8-B48F-1D18A9856A87","full_name":"Draganov, Ondrej"}]},{"citation":{"short":"H. Edelsbrunner, T. Heiss, ArXiv (n.d.).","ama":"Edelsbrunner H, Heiss T. Merge trees of periodic filtrations. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2408.16575\">10.48550/arXiv.2408.16575</a>","ieee":"H. Edelsbrunner and T. Heiss, “Merge trees of periodic filtrations,” <i>arXiv</i>. .","mla":"Edelsbrunner, Herbert, and Teresa Heiss. “Merge Trees of Periodic Filtrations.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2408.16575\">10.48550/arXiv.2408.16575</a>.","apa":"Edelsbrunner, H., &#38; Heiss, T. (n.d.). Merge trees of periodic filtrations. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2408.16575\">https://doi.org/10.48550/arXiv.2408.16575</a>","chicago":"Edelsbrunner, Herbert, and Teresa Heiss. “Merge Trees of Periodic Filtrations.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2408.16575\">https://doi.org/10.48550/arXiv.2408.16575</a>.","ista":"Edelsbrunner H, Heiss T. Merge trees of periodic filtrations. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2408.16575\">10.48550/arXiv.2408.16575</a>."},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2408.16575","open_access":"1"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_status":"draft","external_id":{"arxiv":["2408.16575"]},"title":"Merge trees of periodic filtrations","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"18667"}]},"arxiv":1,"project":[{"name":"Alpha Shape Theory Extended","grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"2561EBF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"I02979-N35","name":"Persistence and stability of geometric complexes"}],"type":"preprint","article_processing_charge":"No","doi":"10.48550/arXiv.2408.16575","fulldoi":"https://doi.org/10.48550/arXiv.2408.16575","language":[{"iso":"eng"}],"oa_version":"Preprint","day":"29","_id":"18673","date_updated":"2026-10-02T11:55:43Z","das_tickbox":"0","acknowledgement":"Both authors are partially supported by the European Research Council (ERC) Horizon 2020 project\r\n‘Alpha Shape Theory Extended’, grant no. 788183. The first author is also partially supported by the DFG\r\nCollaborative Research Center TRR 109, ‘Discretization in Geometry and Dynamics’, Austrian Science Fund\r\n(FWF), grant no. I 02979-N35.","date_created":"2024-12-18T14:06:57Z","ec_funded":1,"department":[{"_id":"HeEd"}],"date_published":"2024-08-29T00:00:00Z","supplementarymaterial":"no","OA_place":"repository","month":"08","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"abstract":[{"lang":"eng","text":"Motivated by applications to crystalline materials, we generalize the merge tree and the related barcode of a filtered complex to the periodic setting in Euclidean space. They are invariant under isometries, changing bases, and indeed changing lattices. In addition, we prove stability under perturbations and provide an algorithm that under mild geometric conditions typically satisfied by crystalline materials takes O((n+m)logn) time, in which n and m are the numbers of vertices and edges in the quotient complex, respectively.\r\n"}],"corr_author":"1","author":[{"last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"},{"full_name":"Heiss, Teresa","orcid":"0000-0002-1780-2689","id":"4879BB4E-F248-11E8-B48F-1D18A9856A87","first_name":"Teresa","last_name":"Heiss"}],"oa":1,"status":"public","researchdata_availability":"no","publication":"arXiv","year":"2024"},{"date_created":"2024-03-08T10:13:59Z","department":[{"_id":"HeEd"}],"das_tickbox":"0","date_updated":"2026-10-02T11:56:13Z","supplementarymaterial":"no","OA_place":"repository","month":"02","date_published":"2024-02-07T00:00:00Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"corr_author":"1","abstract":[{"lang":"eng","text":"Motivated by applications in the medical sciences, we study finite chromatic\r\nsets in Euclidean space from a topological perspective. Based on the persistent\r\nhomology for images, kernels and cokernels, we design provably stable\r\nhomological quantifiers that describe the geometric micro- and macro-structure\r\nof how the color classes mingle. These can be efficiently computed using\r\nchromatic variants of Delaunay and alpha complexes, and code that does these\r\ncomputations is provided."}],"oa":1,"author":[{"last_name":"Cultrera di Montesano","orcid":"0000-0001-6249-0832","id":"34D2A09C-F248-11E8-B48F-1D18A9856A87","first_name":"Sebastiano","full_name":"Cultrera di Montesano, Sebastiano"},{"last_name":"Draganov","full_name":"Draganov, Ondrej","orcid":"0000-0003-0464-3823","id":"2B23F01E-F248-11E8-B48F-1D18A9856A87","first_name":"Ondrej"},{"last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Saghafian","id":"f86f7148-b140-11ec-9577-95435b8df824","first_name":"Morteza","full_name":"Saghafian, Morteza"}],"researchdata_availability":"no","year":"2024","publication":"arXiv","status":"public","citation":{"ista":"Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.","chicago":"Cultrera di Montesano, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “Chromatic Alpha Complexes.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2212.03128\">https://doi.org/10.48550/arXiv.2212.03128</a>.","mla":"Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” <i>ArXiv</i>, 2212.03128, doi:<a href=\"https://doi.org/10.48550/arXiv.2212.03128\">10.48550/arXiv.2212.03128</a>.","ieee":"S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” <i>arXiv</i>. .","ama":"Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2212.03128\">10.48550/arXiv.2212.03128</a>","short":"S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv (n.d.).","apa":"Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., &#38; Saghafian, M. (n.d.). Chromatic alpha complexes. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2212.03128\">https://doi.org/10.48550/arXiv.2212.03128</a>"},"main_file_link":[{"url":"https://arxiv.org/abs/2212.03128","open_access":"1"}],"external_id":{"arxiv":["2212.03128"]},"publication_status":"draft","title":"Chromatic alpha complexes","article_number":"2212.03128","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","type":"preprint","arxiv":1,"related_material":{"record":[{"id":"18979","relation":"dissertation_contains","status":"public"},{"id":"20585","relation":"later_version","status":"public"},{"status":"public","id":"15094","relation":"dissertation_contains"}]},"doi":"10.48550/arXiv.2212.03128","day":"07","_id":"15091","language":[{"iso":"eng"}],"fulldoi":"https://doi.org/10.48550/arXiv.2212.03128","oa_version":"Preprint","article_processing_charge":"No"},{"year":"2024","volume":975,"publication":"The Astrophysical Journal Letters","researchdata_availability":"no","APC_amount":"3080,76 EUR","DOAJ_listed":"1","scopus_import":"1","status":"public","quality_controlled":"1","OA_type":"gold","ddc":["520"],"intvolume":"       975","file_date_updated":"2024-11-20T12:24:52Z","oa":1,"author":[{"last_name":"Cunningham","first_name":"Tim","full_name":"Cunningham, Tim"},{"last_name":"Caiazzo","orcid":"0000-0002-4770-5388","first_name":"Ilaria","id":"8ae5b6e7-2a03-11ee-914d-b58ed7a3b47d","full_name":"Caiazzo, Ilaria"},{"first_name":"Nikolaus Z.","full_name":"Prusinski, Nikolaus Z.","last_name":"Prusinski"},{"last_name":"Fuller","first_name":"James","full_name":"Fuller, James"},{"last_name":"Raymond","full_name":"Raymond, John C.","first_name":"John C."},{"first_name":"S. R.","full_name":"Kulkarni, S. R.","last_name":"Kulkarni"},{"full_name":"Neill, James D.","first_name":"James D.","last_name":"Neill"},{"full_name":"Duffell, Paul","first_name":"Paul","last_name":"Duffell"},{"full_name":"Martin, Chris","first_name":"Chris","last_name":"Martin"},{"last_name":"Toloza","full_name":"Toloza, Odette","first_name":"Odette"},{"full_name":"Charbonneau, David","first_name":"David","last_name":"Charbonneau"},{"last_name":"Kenyon","first_name":"Scott J.","full_name":"Kenyon, Scott J."},{"full_name":"Lin, Zeren","first_name":"Zeren","last_name":"Lin"},{"full_name":"Matuszewski, Mateusz","first_name":"Mateusz","last_name":"Matuszewski"},{"last_name":"McGurk","full_name":"McGurk, Rosalie","first_name":"Rosalie"},{"last_name":"Polin","first_name":"Abigail","full_name":"Polin, Abigail"},{"first_name":"Philippe Z.","full_name":"Yao, Philippe Z.","last_name":"Yao"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"abstract":[{"text":"The recently discovered Pa 30 nebula, the putative type Iax supernova remnant associated with the historical supernova of 1181 AD, shows puzzling characteristics that make it unique among known supernova remnants. In particular, Pa 30 exhibits a complex morphology, with a unique radial and filamentary structure, and it hosts a hot stellar remnant at its center, which displays oxygen-dominated, ultrafast winds. Because of the surviving stellar remnant and the lack of hydrogen and helium in its filaments, it has been suggested that Pa 30 is the product of a failed thermonuclear explosion in a near- or super-Chandrasekhar white dwarf, which created a subluminous transient, a rare subtype of the Ia class of supernovae called type Iax. We present here a detailed study of the 3D structure and velocities of a full radial section of the remnant. The Integral Field Unit observations, obtained with the new red channel of the Keck Cosmic Web Imager spectrograph, reveal that the ejecta are consistent with being ballistic, with velocities close to the free-expansion velocity. Additionally, we detect a large cavity inside the supernova remnant and a sharp inner edge to the filamentary structure, which coincides with the outer edge of a bright ring detected in infrared images. Finally, we detect a strong asymmetry in the amount of ejecta along the line of sight, which might hint at an asymmetric explosion. Our analysis provides strong confirmation that the explosion originated from SN 1181.","lang":"eng"}],"publisher":"IOP Publishing","month":"10","supplementarymaterial":"no","OA_place":"publisher","date_published":"2024-10-24T00:00:00Z","department":[{"_id":"IlCa"}],"date_created":"2024-11-19T08:12:59Z","acknowledgement":"We thank Rob Fesen for providing the [S ii] narrowband imaging and providing helpful comments on the Letter. We also thank Eliot Quartert for the helpful discussions. T.C. was supported by NASA through the NASA Hubble Fellowship grant HST-HF2-51527.001-A awarded by the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., for NASA, under contract NAS5-26555. I.C. was also supported by NASA through grants from the Space Telescope Science Institute, under NASA contracts NASA.22K1813, NAS5-26555, and NAS5-03127. This research was supported in part by grant NSF PHY-1748958 to the Kavli Institute for Theoretical Physics (KITP). O.T. was supported by FONDECYT grant 11241186.\r\n\r\nThis publication makes use of data products from the Wide-field Infrared Survey Explorer, which is a joint project of the University of California, Los Angeles, and the Jet Propulsion Laboratory/California Institute of Technology, funded by the National Aeronautics and Space Administration.\r\n\r\nThis research made use of Montage. It is funded by the National Science Foundation under grant No. ACI-1440620, and was previously funded by the National Aeronautics and Space Administration's Earth Science Technology Office, Computation Technologies Project, under Cooperative Agreement Number NCC5-626 between NASA and the California Institute of Technology.","file":[{"checksum":"51e790dd3d85ca984e656734f9f611da","date_created":"2024-11-20T12:24:52Z","file_name":"2024_AstrophysJourLetters_Cunningham.pdf","success":1,"access_level":"open_access","date_updated":"2024-11-20T12:24:52Z","creator":"dernst","file_size":90328868,"file_id":"18573","relation":"main_file","content_type":"application/pdf"}],"das_tickbox":"0","date_updated":"2026-10-02T11:57:59Z","day":"24","_id":"18564","oa_version":"Published Version","fulldoi":"https://doi.org/10.3847/2041-8213/ad713b","language":[{"iso":"eng"}],"doi":"10.3847/2041-8213/ad713b","article_processing_charge":"Yes","type":"journal_article","has_accepted_license":"1","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"article_type":"original","isi":1,"arxiv":1,"issue":"1","title":"Expansion properties of the young supernova type Iax remnant Pa 30 revealed","external_id":{"arxiv":["2410.10940"],"isi":["001340831400001"]},"publication_status":"published","publication_identifier":{"issn":["2041-8205"],"eissn":["2041-8213"]},"article_number":"L7","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"short":"T. Cunningham, I. Caiazzo, N.Z. Prusinski, J. Fuller, J.C. Raymond, S.R. Kulkarni, J.D. Neill, P. Duffell, C. Martin, O. Toloza, D. Charbonneau, S.J. Kenyon, Z. Lin, M. Matuszewski, R. McGurk, A. Polin, P.Z. Yao, The Astrophysical Journal Letters 975 (2024).","ama":"Cunningham T, Caiazzo I, Prusinski NZ, et al. Expansion properties of the young supernova type Iax remnant Pa 30 revealed. <i>The Astrophysical Journal Letters</i>. 2024;975(1). doi:<a href=\"https://doi.org/10.3847/2041-8213/ad713b\">10.3847/2041-8213/ad713b</a>","mla":"Cunningham, Tim, et al. “Expansion Properties of the Young Supernova Type Iax Remnant Pa 30 Revealed.” <i>The Astrophysical Journal Letters</i>, vol. 975, no. 1, L7, IOP Publishing, 2024, doi:<a href=\"https://doi.org/10.3847/2041-8213/ad713b\">10.3847/2041-8213/ad713b</a>.","ieee":"T. Cunningham <i>et al.</i>, “Expansion properties of the young supernova type Iax remnant Pa 30 revealed,” <i>The Astrophysical Journal Letters</i>, vol. 975, no. 1. IOP Publishing, 2024.","apa":"Cunningham, T., Caiazzo, I., Prusinski, N. Z., Fuller, J., Raymond, J. C., Kulkarni, S. R., … Yao, P. Z. (2024). Expansion properties of the young supernova type Iax remnant Pa 30 revealed. <i>The Astrophysical Journal Letters</i>. IOP Publishing. <a href=\"https://doi.org/10.3847/2041-8213/ad713b\">https://doi.org/10.3847/2041-8213/ad713b</a>","chicago":"Cunningham, Tim, Ilaria Caiazzo, Nikolaus Z. Prusinski, James Fuller, John C. Raymond, S. R. Kulkarni, James D. Neill, et al. “Expansion Properties of the Young Supernova Type Iax Remnant Pa 30 Revealed.” <i>The Astrophysical Journal Letters</i>. IOP Publishing, 2024. <a href=\"https://doi.org/10.3847/2041-8213/ad713b\">https://doi.org/10.3847/2041-8213/ad713b</a>.","ista":"Cunningham T, Caiazzo I, Prusinski NZ, Fuller J, Raymond JC, Kulkarni SR, Neill JD, Duffell P, Martin C, Toloza O, Charbonneau D, Kenyon SJ, Lin Z, Matuszewski M, McGurk R, Polin A, Yao PZ. 2024. Expansion properties of the young supernova type Iax remnant Pa 30 revealed. The Astrophysical Journal Letters. 975(1), L7."}},{"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/3.0/legalcode","image":"/images/cc_by.png","short":"CC BY (3.0)","name":"Creative Commons Attribution 3.0 Unported (CC BY 3.0)"},"abstract":[{"lang":"eng","text":"We measure the mass distribution of main-sequence (MS) companions to hot subdwarf B stars (sdBs) in post-common envelope binaries (PCEBs). We carried out a spectroscopic survey of 14 eclipsing systems (\"HW Vir binaries\") with orbital periods of 3.8 < Porb < 12 hr, resulting in a well-understood selection function and a near-complete sample of HW Vir binaries with G < 16. We constrain companion masses from the radial velocity curves of the sdB stars. The companion mass distribution peaks at MMS ≈ 0.15 M⊙ and drops off at MMS > 0.2 M⊙, with only two systems hosting companions above the fully convective limit. There is no correlation between Porb and MMS within the sample. A similar drop-off in the companion mass distribution of white dwarf (WD) + MS PCEBs has been attributed to disrupted magnetic braking (MB) below the fully convective limit. We compare the sdB companion mass distribution to predictions of binary evolution simulations with a range of MB laws. Because sdBs have short lifetimes compared to WDs, explaining the lack of higher-mass MS companions to sdBs with disrupted MB requires MB to be boosted by a factor of 20–100 relative to MB laws inferred from the rotation evolution of single stars. We speculate that such boosting may be a result of irradiation-driven enhancement of the MS stars' winds. An alternative possibility is that common envelope evolution favors low-mass companions in short-period orbits, but the existence of massive WD companions to sdBs with similar periods disfavors this scenario."}],"author":[{"last_name":"Blomberg","full_name":"Blomberg, Lisa","first_name":"Lisa"},{"last_name":"El-Badry","full_name":"El-Badry, Kareem","first_name":"Kareem"},{"full_name":"Breivik, Katelyn","first_name":"Katelyn","last_name":"Breivik"},{"last_name":"Caiazzo","full_name":"Caiazzo, Ilaria","orcid":"0000-0002-4770-5388","first_name":"Ilaria","id":"8ae5b6e7-2a03-11ee-914d-b58ed7a3b47d"},{"first_name":"Pranav","full_name":"Nagarajan, Pranav","last_name":"Nagarajan"},{"first_name":"Antonio","full_name":"Rodriguez, Antonio","last_name":"Rodriguez"},{"full_name":"Van Roestel, Jan","first_name":"Jan","last_name":"Van Roestel"},{"full_name":"Vanderbosch, Zachary P.","first_name":"Zachary P.","last_name":"Vanderbosch"},{"last_name":"Yamaguchi","full_name":"Yamaguchi, Natsuko","first_name":"Natsuko"}],"file_date_updated":"2025-01-02T09:34:25Z","oa":1,"publisher":"IOP Publishing","researchdata_availability":"no","publication":"Publications of the Astronomical Society of the Pacific","year":"2024","volume":136,"intvolume":"       136","ddc":["520"],"quality_controlled":"1","OA_type":"hybrid","status":"public","scopus_import":"1","date_created":"2024-12-29T23:01:57Z","acknowledgement":"We thank the referee for their constructive comments. We also thank Jim Fuller and Stefan Geier for helpful discussions. The Kavli Institute for Theoretical Physics (KITP) hosted the program, \"White Dwarfs as Probes of the Evolution of Planets, Stars, the Milky Way, and the Expanding Universe,\" during which this project was initiated.\r\n\r\nThis research was supported in part by the U.S. National Science Foundation (NSF) grant AST-2307232, and in part by grants PHY-1748958 and AST-2107070.\r\n\r\nThis work has made use of data from the European Space Agency (ESA) mission Gaia (https://www.cosmos.esa.int/gaia), processed by the Gaia Data Processing and Analysis Consortium (DPAC, https://www.cosmos.esa.int/web/gaia/dpac/consortium). Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement.\r\n\r\nThis work is based in part on observations obtained with the Samuel Oschin 48 inch Telescope at the Palomar Observatory as part of the Zwicky Transient Facility project. ZTF is supported by the NSF under grant AST-1440341 and a collaboration including Caltech, IPAC, the Weizmann Institute for Science, the Oskar Klein Center at Stockholm University, the University of Maryland, the University of Washington, Deutsches Elektronen-Synchrotron and Humboldt University, Los Alamos National Laboratories, the TANGO Consortium of Taiwan, the University of Wisconsin at Milwaukee, and the Lawrence Berkeley National Laboratory. Operations are conducted by the Caltech Optical Observatories (COO), the Infrared Processing and Analysis Center (IPAC), and the University of Washington (UW).\r\n\r\nSome of the data presented herein were obtained at Keck Observatory, which is a private 501(c)3 non-profit organization operated as a scientific partnership among the California Institute of Technology, the University of California, and the National Aeronautics and Space Administration. The Observatory was made possible by the generous financial support of the W. M. Keck Foundation.","department":[{"_id":"IlCa"}],"date_updated":"2026-10-02T11:58:30Z","das_tickbox":"0","file":[{"file_size":7539133,"file_id":"18719","relation":"main_file","content_type":"application/pdf","checksum":"56fe719e26bc0c2a99ac5322791107e5","date_created":"2025-01-02T09:34:25Z","success":1,"file_name":"2024_PASP_Blomberg.pdf","creator":"dernst","access_level":"open_access","date_updated":"2025-01-02T09:34:25Z"}],"supplementarymaterial":"yes","OA_place":"publisher","month":"12","license":"https://creativecommons.org/licenses/by/3.0/","date_published":"2024-12-01T00:00:00Z","has_accepted_license":"1","type":"journal_article","issue":"12","arxiv":1,"isi":1,"article_type":"original","doi":"10.1088/1538-3873/ad94a2","fulldoi":"https://doi.org/10.1088/1538-3873/ad94a2","language":[{"iso":"eng"}],"oa_version":"Published Version","day":"01","_id":"18709","article_processing_charge":"No","citation":{"chicago":"Blomberg, Lisa, Kareem El-Badry, Katelyn Breivik, Ilaria Caiazzo, Pranav Nagarajan, Antonio Rodriguez, Jan Van Roestel, Zachary P. Vanderbosch, and Natsuko Yamaguchi. “The Companion Mass Distribution of Post Common Envelope Hot Subdwarf Binaries: Evidence for Boosted and Disrupted Magnetic Braking?” <i>Publications of the Astronomical Society of the Pacific</i>. IOP Publishing, 2024. <a href=\"https://doi.org/10.1088/1538-3873/ad94a2\">https://doi.org/10.1088/1538-3873/ad94a2</a>.","ista":"Blomberg L, El-Badry K, Breivik K, Caiazzo I, Nagarajan P, Rodriguez A, Van Roestel J, Vanderbosch ZP, Yamaguchi N. 2024. The companion mass distribution of post common envelope hot subdwarf binaries: Evidence for boosted and disrupted magnetic braking? Publications of the Astronomical Society of the Pacific. 136(12), 124201.","ama":"Blomberg L, El-Badry K, Breivik K, et al. The companion mass distribution of post common envelope hot subdwarf binaries: Evidence for boosted and disrupted magnetic braking? <i>Publications of the Astronomical Society of the Pacific</i>. 2024;136(12). doi:<a href=\"https://doi.org/10.1088/1538-3873/ad94a2\">10.1088/1538-3873/ad94a2</a>","short":"L. Blomberg, K. El-Badry, K. Breivik, I. Caiazzo, P. Nagarajan, A. Rodriguez, J. Van Roestel, Z.P. Vanderbosch, N. Yamaguchi, Publications of the Astronomical Society of the Pacific 136 (2024).","mla":"Blomberg, Lisa, et al. “The Companion Mass Distribution of Post Common Envelope Hot Subdwarf Binaries: Evidence for Boosted and Disrupted Magnetic Braking?” <i>Publications of the Astronomical Society of the Pacific</i>, vol. 136, no. 12, 124201, IOP Publishing, 2024, doi:<a href=\"https://doi.org/10.1088/1538-3873/ad94a2\">10.1088/1538-3873/ad94a2</a>.","ieee":"L. Blomberg <i>et al.</i>, “The companion mass distribution of post common envelope hot subdwarf binaries: Evidence for boosted and disrupted magnetic braking?,” <i>Publications of the Astronomical Society of the Pacific</i>, vol. 136, no. 12. IOP Publishing, 2024.","apa":"Blomberg, L., El-Badry, K., Breivik, K., Caiazzo, I., Nagarajan, P., Rodriguez, A., … Yamaguchi, N. (2024). The companion mass distribution of post common envelope hot subdwarf binaries: Evidence for boosted and disrupted magnetic braking? <i>Publications of the Astronomical Society of the Pacific</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1538-3873/ad94a2\">https://doi.org/10.1088/1538-3873/ad94a2</a>"},"publication_identifier":{"issn":["0004-6280"]},"publication_status":"published","external_id":{"isi":["001379604600001"],"arxiv":["2408.15334"]},"title":"The companion mass distribution of post common envelope hot subdwarf binaries: Evidence for boosted and disrupted magnetic braking?","article_number":"124201","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"article_processing_charge":"Yes","doi":"10.1038/s41467-024-47830-3","oa_version":"Published Version","fulldoi":"https://doi.org/10.1038/s41467-024-47830-3","language":[{"iso":"eng"}],"_id":"15372","day":"30","article_type":"original","has_accepted_license":"1","type":"journal_article","article_number":"3663","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_status":"published","publication_identifier":{"eissn":["2041-1723"]},"external_id":{"pmid":["38688943"]},"title":"Unraveling the mechanisms of PAMless DNA interrogation by SpRY-Cas9","citation":{"apa":"Hibshman, G. N., Bravo, J. P. K., Hooper, M. M., Dangerfield, T. L., Zhang, H., Finkelstein, I. J., … Taylor, D. W. (2024). Unraveling the mechanisms of PAMless DNA interrogation by SpRY-Cas9. <i>Nature Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41467-024-47830-3\">https://doi.org/10.1038/s41467-024-47830-3</a>","ieee":"G. N. Hibshman <i>et al.</i>, “Unraveling the mechanisms of PAMless DNA interrogation by SpRY-Cas9,” <i>Nature Communications</i>, vol. 15. Springer Nature, 2024.","mla":"Hibshman, Grace N., et al. “Unraveling the Mechanisms of PAMless DNA Interrogation by SpRY-Cas9.” <i>Nature Communications</i>, vol. 15, 3663, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1038/s41467-024-47830-3\">10.1038/s41467-024-47830-3</a>.","ama":"Hibshman GN, Bravo JPK, Hooper MM, et al. Unraveling the mechanisms of PAMless DNA interrogation by SpRY-Cas9. <i>Nature Communications</i>. 2024;15. doi:<a href=\"https://doi.org/10.1038/s41467-024-47830-3\">10.1038/s41467-024-47830-3</a>","short":"G.N. Hibshman, J.P.K. Bravo, M.M. Hooper, T.L. Dangerfield, H. Zhang, I.J. Finkelstein, K.A. Johnson, D.W. Taylor, Nature Communications 15 (2024).","ista":"Hibshman GN, Bravo JPK, Hooper MM, Dangerfield TL, Zhang H, Finkelstein IJ, Johnson KA, Taylor DW. 2024. Unraveling the mechanisms of PAMless DNA interrogation by SpRY-Cas9. Nature Communications. 15, 3663.","chicago":"Hibshman, Grace N., Jack Peter Kelly Bravo, Matthew M. Hooper, Tyler L. Dangerfield, Hongshan Zhang, Ilya J. Finkelstein, Kenneth A. Johnson, and David W. Taylor. “Unraveling the Mechanisms of PAMless DNA Interrogation by SpRY-Cas9.” <i>Nature Communications</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1038/s41467-024-47830-3\">https://doi.org/10.1038/s41467-024-47830-3</a>."},"intvolume":"        15","status":"public","ddc":["570"],"quality_controlled":"1","scopus_import":"1","pmid":1,"DOAJ_listed":"1","researchdata_availability":"yes","publication":"Nature Communications","year":"2024","volume":15,"publisher":"Springer Nature","abstract":[{"lang":"eng","text":"CRISPR-Cas9 is a powerful tool for genome editing, but the strict requirement for an NGG protospacer-adjacent motif (PAM) sequence immediately next to the DNA target limits the number of editable genes. Recently developed Cas9 variants have been engineered with relaxed PAM requirements, including SpG-Cas9 (SpG) and the nearly PAM-less SpRY-Cas9 (SpRY). However, the molecular mechanisms of how SpRY recognizes all potential PAM sequences remains unclear. Here, we combine structural and biochemical approaches to determine how SpRY interrogates DNA and recognizes target sites. Divergent PAM sequences can be accommodated through conformational flexibility within the PAM-interacting region, which facilitates tight binding to off-target DNA sequences. Nuclease activation occurs ~1000-fold slower than for Streptococcus pyogenes Cas9, enabling us to directly visualize multiple on-pathway intermediate states. Experiments with SpG position it as an intermediate enzyme between Cas9 and SpRY. Our findings shed light on the molecular mechanisms of PAMless genome editing."}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"corr_author":"1","author":[{"last_name":"Hibshman","full_name":"Hibshman, Grace N.","first_name":"Grace N."},{"last_name":"Bravo","full_name":"Bravo, Jack Peter Kelly","first_name":"Jack Peter Kelly","id":"96aecfa5-8931-11ee-af30-aa6a5d6eee0e","orcid":"0000-0003-0456-0753"},{"last_name":"Hooper","first_name":"Matthew M.","full_name":"Hooper, Matthew M."},{"last_name":"Dangerfield","first_name":"Tyler L.","full_name":"Dangerfield, Tyler L."},{"last_name":"Zhang","full_name":"Zhang, Hongshan","first_name":"Hongshan"},{"full_name":"Finkelstein, Ilya J.","first_name":"Ilya J.","last_name":"Finkelstein"},{"full_name":"Johnson, Kenneth A.","first_name":"Kenneth A.","last_name":"Johnson"},{"full_name":"Taylor, David W.","first_name":"David W.","last_name":"Taylor"}],"file_date_updated":"2024-05-13T11:46:19Z","oa":1,"date_published":"2024-04-30T00:00:00Z","dataavailabilitystatement":"The structures and associated atomic coordinates have been deposited into the Electron Microscopy Data Bank (EMDB) and Protein Data Bank (PDB) with accession codes SpRY NAC PAM 20 bp (EMD-40740 and PDB 8SRS), SpRY NGG PAM (EMD-40681 and PDB 8SPQ), SpRY NTC PAM (EMD-40705 and PDB 8SQH), SpRY NAC PAM 0 bp (EMD-41073 and PDB 8T6O), SpRY NAC PAM 2 bp (EMD-41074 and PDB 8T6P), SpRY NAC PAM 3 bp (EMD-41085 and PDB 8T76), SpRY NAC PAM 10 bp (EMD-41079 and PDB 8T6S), SpRY NAC PAM 13 bp (EMD-41080 and PDB 8T6T), SpRY NAC PAM 18 bp (EMD-41083 and PDB 8T6X), SpRY off-target 1 bp (EMD-41084 and PDB 8T6Y), SpRY off-target 6* bp (EMD-41086 and PDB 8T77), SpRY off-target 8* bp (EMD-41087 and PDB 8T78), SpRY off-target 10* bp (EMD-41088 and PDB 8T79), SpRYmer (EMD-41093 and PDB 8T7S), SpG NGG PAM (EMD-41867 and PDB 8U3Y), and SpG NGC PAM (EMD-41775 and PDB 8TZZ). Source data are provided with this paper.","supplementarymaterial":"yes","month":"04","date_updated":"2026-10-02T12:00:51Z","das_tickbox":"1","file":[{"creator":"dernst","access_level":"open_access","date_updated":"2024-05-13T11:46:19Z","checksum":"509c65919067a03ef8ad65c7192cd860","file_name":"2024_NatureComm_Hibshman.pdf","success":1,"date_created":"2024-05-13T11:46:19Z","content_type":"application/pdf","relation":"main_file","file_size":7477013,"file_id":"15386"}],"date_created":"2024-05-12T22:01:00Z","acknowledgement":"We thank I. Stohkendl in the Taylor group for insightful discussions. This work was supported in part by Welch Foundation grants F-1808 (to I.J.F.), and F-1938 (to D.W.T.), the National Institutes of Health R01GM124141 (to I.J.F.), R01AI110577 (to K.A.J.), and R35GM138348 (to D.W.T.), and a Robert J. Kleberg, Jr. and Helen C. Kleberg Foundation Medical Research Grant (to D.W.T.). The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health.","department":[{"_id":"JaBr"}]},{"OA_type":"green","status":"public","quality_controlled":"1","scopus_import":"1","pmid":1,"intvolume":"       630","publication":"Nature","year":"2024","volume":630,"researchdata_availability":"yes","publisher":"Springer Nature","author":[{"full_name":"Bravo, Jack Peter Kelly","orcid":"0000-0003-0456-0753","id":"96aecfa5-8931-11ee-af30-aa6a5d6eee0e","first_name":"Jack Peter Kelly","last_name":"Bravo"},{"full_name":"Ramos, Delisa A.","first_name":"Delisa A.","last_name":"Ramos"},{"first_name":"Rodrigo","full_name":"Fregoso Ocampo, Rodrigo","last_name":"Fregoso Ocampo"},{"full_name":"Ingram, Caiden","first_name":"Caiden","last_name":"Ingram"},{"full_name":"Taylor, David W.","first_name":"David W.","last_name":"Taylor"}],"oa":1,"corr_author":"1","abstract":[{"lang":"eng","text":"Although eukaryotic Argonautes have a pivotal role in post-transcriptional gene regulation through nucleic acid cleavage, some short prokaryotic Argonaute variants (pAgos) rely on auxiliary nuclease factors for efficient foreign DNA degradation1. Here we reveal the activation pathway of the DNA defence module DdmDE system, which rapidly eliminates small, multicopy plasmids from the Vibrio cholerae seventh pandemic strain (7PET)2. Through a combination of cryo-electron microscopy, biochemistry and in vivo plasmid clearance assays, we demonstrate that DdmE is a catalytically inactive, DNA-guided, DNA-targeting pAgo with a distinctive insertion domain. We observe that the helicase-nuclease DdmD transitions from an autoinhibited, dimeric complex to a monomeric state upon loading of single-stranded DNA targets. Furthermore, the complete structure of the DdmDE–guide–target handover complex provides a comprehensive view into how DNA recognition triggers processive plasmid destruction. Our work establishes a mechanistic foundation for how pAgos utilize ancillary factors to achieve plasmid clearance, and provides insights into anti-plasmid immunity in bacteria.\r\n\r\n"}],"dataavailabilitystatement":"Structures of the DdmE in complex with guide and target, the DdmD monomer in complex with ssDNA, the DdmDE handover complex, the DdmD dimer and the DdmD dimer in complex with ssDNA have been deposited in the Electron Microscopy Data Bank with the accession codes EMD-41781, EMD-41790, EMD-41865, EMD-44825 and EMD-41785, respectively. Associated atomic coordinates have been deposited in the Protein Data Bank with the accession codes 8U0J, 8U0W, 8U3K, 9BVQ and 8U0U, respectively. Source data are provided with this paper.","date_published":"2024-06-27T00:00:00Z","month":"06","supplementarymaterial":"yes","OA_place":"repository","date_updated":"2026-10-02T11:59:25Z","das_tickbox":"1","department":[{"_id":"JaBr"}],"acknowledgement":"We thank K. Kiernan, G. Hibshman and I. Strohkendl for insightful discussions and comments on the manuscript, and R. Lin for assistance with the ATPase assay. Data were collected at the Sauer Structural Biology Laboratory at the University of Texas at Austin. This work was supported in part by the National Institute of General Medical Sciences (NIGMS) of the National Institutes of Health (NIH) R35GM138348 (to D.W.T.) and Welch Foundation research grant F-1938 (to D.W.T.).","date_created":"2024-08-19T09:41:18Z","article_processing_charge":"No","fulldoi":"https://doi.org/10.1038/s41586-024-07515-9","language":[{"iso":"eng"}],"oa_version":"Submitted Version","_id":"17442","day":"27","doi":"10.1038/s41586-024-07515-9","page":"961-967","article_type":"original","issue":"8018","type":"journal_article","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"Plasmid targeting and destruction by the DdmDE bacterial defence system","publication_identifier":{"issn":["0028-0836"],"eissn":["1476-4687"]},"publication_status":"published","external_id":{"pmid":["38740055"]},"main_file_link":[{"open_access":"1","url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11649018/"}],"citation":{"ista":"Bravo JPK, Ramos DA, Fregoso Ocampo R, Ingram C, Taylor DW. 2024. Plasmid targeting and destruction by the DdmDE bacterial defence system. Nature. 630(8018), 961–967.","chicago":"Bravo, Jack Peter Kelly, Delisa A. Ramos, Rodrigo Fregoso Ocampo, Caiden Ingram, and David W. Taylor. “Plasmid Targeting and Destruction by the DdmDE Bacterial Defence System.” <i>Nature</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1038/s41586-024-07515-9\">https://doi.org/10.1038/s41586-024-07515-9</a>.","mla":"Bravo, Jack Peter Kelly, et al. “Plasmid Targeting and Destruction by the DdmDE Bacterial Defence System.” <i>Nature</i>, vol. 630, no. 8018, Springer Nature, 2024, pp. 961–67, doi:<a href=\"https://doi.org/10.1038/s41586-024-07515-9\">10.1038/s41586-024-07515-9</a>.","ieee":"J. P. K. Bravo, D. A. Ramos, R. Fregoso Ocampo, C. Ingram, and D. W. Taylor, “Plasmid targeting and destruction by the DdmDE bacterial defence system,” <i>Nature</i>, vol. 630, no. 8018. Springer Nature, pp. 961–967, 2024.","short":"J.P.K. Bravo, D.A. Ramos, R. Fregoso Ocampo, C. Ingram, D.W. Taylor, Nature 630 (2024) 961–967.","ama":"Bravo JPK, Ramos DA, Fregoso Ocampo R, Ingram C, Taylor DW. Plasmid targeting and destruction by the DdmDE bacterial defence system. <i>Nature</i>. 2024;630(8018):961-967. doi:<a href=\"https://doi.org/10.1038/s41586-024-07515-9\">10.1038/s41586-024-07515-9</a>","apa":"Bravo, J. P. K., Ramos, D. A., Fregoso Ocampo, R., Ingram, C., &#38; Taylor, D. W. (2024). Plasmid targeting and destruction by the DdmDE bacterial defence system. <i>Nature</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41586-024-07515-9\">https://doi.org/10.1038/s41586-024-07515-9</a>"}},{"das_tickbox":"0","date_updated":"2026-10-02T12:01:31Z","department":[{"_id":"JaBr"}],"acknowledgement":"I would like to thank K Kiernan for insightful comments and feedback. J P K Bravo is supported by IST Austria.","date_created":"2024-09-05T07:32:00Z","date_published":"2024-10-01T00:00:00Z","month":"10","OA_place":"publisher","supplementarymaterial":"no","publisher":"Taylor & Francis","oa":1,"author":[{"full_name":"Bravo, Jack Peter Kelly","first_name":"Jack Peter Kelly","id":"96aecfa5-8931-11ee-af30-aa6a5d6eee0e","orcid":"0000-0003-0456-0753","last_name":"Bravo"}],"corr_author":"1","pmid":1,"scopus_import":"1","status":"public","quality_controlled":"1","OA_type":"free access","ddc":["570"],"intvolume":"        19","year":"2024","volume":19,"publication":"Future Microbiology","researchdata_availability":"no","main_file_link":[{"url":"https://doi.org/10.1080/17460913.2024.2389720","open_access":"1"}],"citation":{"chicago":"Bravo, Jack Peter Kelly. “Anti-Plasmid Immunity: A Key to Pathogen Success?” <i>Future Microbiology</i>. Taylor &#38; Francis, 2024. <a href=\"https://doi.org/10.1080/17460913.2024.2389720\">https://doi.org/10.1080/17460913.2024.2389720</a>.","ista":"Bravo JPK. 2024. Anti-plasmid immunity: A key to pathogen success? Future Microbiology. 19(15), 1269–1272.","apa":"Bravo, J. P. K. (2024). Anti-plasmid immunity: A key to pathogen success? <i>Future Microbiology</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/17460913.2024.2389720\">https://doi.org/10.1080/17460913.2024.2389720</a>","short":"J.P.K. Bravo, Future Microbiology 19 (2024) 1269–1272.","ama":"Bravo JPK. Anti-plasmid immunity: A key to pathogen success? <i>Future Microbiology</i>. 2024;19(15):1269-1272. doi:<a href=\"https://doi.org/10.1080/17460913.2024.2389720\">10.1080/17460913.2024.2389720</a>","mla":"Bravo, Jack Peter Kelly. “Anti-Plasmid Immunity: A Key to Pathogen Success?” <i>Future Microbiology</i>, vol. 19, no. 15, Taylor &#38; Francis, 2024, pp. 1269–72, doi:<a href=\"https://doi.org/10.1080/17460913.2024.2389720\">10.1080/17460913.2024.2389720</a>.","ieee":"J. P. K. Bravo, “Anti-plasmid immunity: A key to pathogen success?,” <i>Future Microbiology</i>, vol. 19, no. 15. Taylor &#38; Francis, pp. 1269–1272, 2024."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"Anti-plasmid immunity: A key to pathogen success?","external_id":{"pmid":["39230568"],"isi":["001306115400001"]},"publication_identifier":{"eissn":["1746-0921"],"issn":["1746-0913"]},"publication_status":"published","article_type":"letter_note","page":"1269-1272","isi":1,"issue":"15","type":"journal_article","has_accepted_license":"1","article_processing_charge":"No","_id":"17494","day":"01","oa_version":"Published Version","fulldoi":"https://doi.org/10.1080/17460913.2024.2389720","language":[{"iso":"eng"}],"doi":"10.1080/17460913.2024.2389720"},{"title":"Noncommutative Bohnenblust–Hille inequalities","external_id":{"pmid":["38751410"],"isi":["001035665500001"],"arxiv":["2210.14468"]},"publication_status":"published","publication_identifier":{"issn":["0025-5831"],"eissn":["1432-1807"]},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"ama":"Volberg A, Zhang H. Noncommutative Bohnenblust–Hille inequalities. <i>Mathematische Annalen</i>. 2024;389:1657-1676. doi:<a href=\"https://doi.org/10.1007/s00208-023-02680-0\">10.1007/s00208-023-02680-0</a>","short":"A. Volberg, H. Zhang, Mathematische Annalen 389 (2024) 1657–1676.","mla":"Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.” <i>Mathematische Annalen</i>, vol. 389, Springer Nature, 2024, pp. 1657–76, doi:<a href=\"https://doi.org/10.1007/s00208-023-02680-0\">10.1007/s00208-023-02680-0</a>.","ieee":"A. Volberg and H. Zhang, “Noncommutative Bohnenblust–Hille inequalities,” <i>Mathematische Annalen</i>, vol. 389. Springer Nature, pp. 1657–1676, 2024.","apa":"Volberg, A., &#38; Zhang, H. (2024). Noncommutative Bohnenblust–Hille inequalities. <i>Mathematische Annalen</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00208-023-02680-0\">https://doi.org/10.1007/s00208-023-02680-0</a>","chicago":"Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.” <i>Mathematische Annalen</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00208-023-02680-0\">https://doi.org/10.1007/s00208-023-02680-0</a>.","ista":"Volberg A, Zhang H. 2024. Noncommutative Bohnenblust–Hille inequalities. Mathematische Annalen. 389, 1657–1676."},"_id":"13318","day":"01","fulldoi":"https://doi.org/10.1007/s00208-023-02680-0","oa_version":"Published Version","language":[{"iso":"eng"}],"doi":"10.1007/s00208-023-02680-0","article_processing_charge":"Yes (in subscription journal)","type":"journal_article","project":[{"_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6","name":"Curvature-dimension in noncommutative analysis","grant_number":"M03337"}],"has_accepted_license":"1","article_type":"original","page":"1657-1676","arxiv":1,"isi":1,"month":"06","supplementarymaterial":"no","dataavailabilitystatement":"All data generated or analysed during this study are included in this article.","date_published":"2024-06-01T00:00:00Z","department":[{"_id":"JaMa"}],"date_created":"2023-07-30T22:01:03Z","acknowledgement":"The research of A.V. is supported by NSF DMS-1900286, DMS-2154402 and by Hausdorff Center for Mathematics. H.Z. is supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337. This work is partially supported by NSF DMS-1929284 while both authors were in residence at the Institute for Computational and Experimental Research in Mathematics in Providence, RI, during the Harmonic Analysis and Convexity program.","file":[{"content_type":"application/pdf","relation":"main_file","file_id":"17299","file_size":351796,"creator":"dernst","date_updated":"2024-07-22T09:38:15Z","access_level":"open_access","date_created":"2024-07-22T09:38:15Z","success":1,"file_name":"2024_MathAnnalen_Volberg.pdf","checksum":"56e67756e4c6c97589a8385e15ea2d2a"}],"das_tickbox":"1","date_updated":"2026-10-02T12:12:33Z","volume":389,"year":"2024","publication":"Mathematische Annalen","researchdata_availability":"yes","scopus_import":"1","pmid":1,"quality_controlled":"1","ddc":["510"],"status":"public","intvolume":"       389","file_date_updated":"2024-07-22T09:38:15Z","oa":1,"author":[{"full_name":"Volberg, Alexander","first_name":"Alexander","last_name":"Volberg"},{"last_name":"Zhang","orcid":"0000-0001-9537-9663","first_name":"Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","full_name":"Zhang, Haonan"}],"abstract":[{"text":"Bohnenblust–Hille inequalities for Boolean cubes have been proven with dimension-free constants that grow subexponentially in the degree (Defant et al. in Math Ann 374(1):653–680, 2019). Such inequalities have found great applications in learning low-degree Boolean functions (Eskenazis and Ivanisvili in Proceedings of the 54th annual ACM SIGACT symposium on theory of computing, pp 203–207, 2022). Motivated by learning quantum observables, a qubit analogue of Bohnenblust–Hille inequality for Boolean cubes was recently conjectured in Rouzé et al. (Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum Boolean functions, 2022. arXiv preprint arXiv:2209.07279). The conjecture was resolved in Huang et al. (Learning to predict arbitrary quantum processes, 2022. arXiv preprint arXiv:2210.14894). In this paper, we give a new proof of these Bohnenblust–Hille inequalities for qubit system with constants that are dimension-free and of exponential growth in the degree. As a consequence, we obtain a junta theorem for low-degree polynomials. Using similar ideas, we also study learning problems of low degree quantum observables and Bohr’s radius phenomenon on quantum Boolean cubes.","lang":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"corr_author":"1","publisher":"Springer Nature"},{"das_tickbox":"1","date_updated":"2026-10-02T12:14:17Z","file":[{"checksum":"a0cf0e0ba2157aabb287cb597be17dac","success":1,"date_created":"2024-07-22T07:05:32Z","file_name":"2024_CalculusVariations_Brooks.pdf","access_level":"open_access","date_updated":"2024-07-22T07:05:32Z","creator":"dernst","file_size":416622,"file_id":"17289","content_type":"application/pdf","relation":"main_file"}],"ec_funded":1,"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).J. M. gratefully acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 716117), and by the Austrian Science Fund (FWF), Project SFB F65. We thank the anonymous referee for valuable comments on the paper.","date_created":"2024-07-21T22:01:01Z","department":[{"_id":"JaMa"}],"date_published":"2024-07-01T00:00:00Z","dataavailabilitystatement":"Data sharing not applicable to this article as no datasets were generated or analysed during the current study.","supplementarymaterial":"no","month":"07","publisher":"Springer Nature","corr_author":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"abstract":[{"text":"Let  X  be a vector field and  Y  be a co-vector field on a smooth manifold  M. Does there exist a smooth Riemannian metric  gαβ  on  M  such that  Yβ=gαβXα ? The main result of this note gives necessary and sufficient conditions for this to be true. As an application of this result we show that a finite-dimensional ergodic Lindblad equation admits a gradient flow structure for the von Neumann relative entropy if and only if the condition of BKM-detailed balance holds.","lang":"eng"}],"oa":1,"file_date_updated":"2024-07-22T07:05:32Z","author":[{"last_name":"Brooks","full_name":"Brooks, Morris","orcid":"0000-0002-6249-0928","first_name":"Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"last_name":"Maas","full_name":"Maas, Jan","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0845-1338"}],"intvolume":"        63","pmid":1,"scopus_import":"1","status":"public","ddc":["510"],"quality_controlled":"1","researchdata_availability":"not applicable","volume":63,"year":"2024","publication":"Calculus of Variations and Partial Differential Equations","citation":{"apa":"Brooks, M., &#38; Maas, J. (2024). Characterisation of gradient flows for a given functional. <i>Calculus of Variations and Partial Differential Equations</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00526-024-02755-z\">https://doi.org/10.1007/s00526-024-02755-z</a>","mla":"Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a given Functional.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 63, no. 6, 153, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s00526-024-02755-z\">10.1007/s00526-024-02755-z</a>.","ieee":"M. Brooks and J. Maas, “Characterisation of gradient flows for a given functional,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 63, no. 6. Springer Nature, 2024.","ama":"Brooks M, Maas J. Characterisation of gradient flows for a given functional. <i>Calculus of Variations and Partial Differential Equations</i>. 2024;63(6). doi:<a href=\"https://doi.org/10.1007/s00526-024-02755-z\">10.1007/s00526-024-02755-z</a>","short":"M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).","ista":"Brooks M, Maas J. 2024. Characterisation of gradient flows for a given functional. Calculus of Variations and Partial Differential Equations. 63(6), 153.","chicago":"Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a given Functional.” <i>Calculus of Variations and Partial Differential Equations</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00526-024-02755-z\">https://doi.org/10.1007/s00526-024-02755-z</a>."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_number":"153","external_id":{"pmid":["38947856"],"arxiv":["2209.11149"],"isi":["001258097800003"]},"publication_identifier":{"eissn":["1432-0835"],"issn":["0944-2669"]},"publication_status":"published","title":"Characterisation of gradient flows for a given functional","isi":1,"arxiv":1,"issue":"6","article_type":"original","type":"journal_article","has_accepted_license":"1","project":[{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"article_processing_charge":"Yes (via OA deal)","doi":"10.1007/s00526-024-02755-z","day":"01","_id":"17282","oa_version":"Published Version","fulldoi":"https://doi.org/10.1007/s00526-024-02755-z","language":[{"iso":"eng"}]},{"intvolume":"       377","scopus_import":"1","status":"public","quality_controlled":"1","researchdata_availability":"no","year":"2024","volume":377,"publication":"Transactions of the American Mathematical Society","publisher":"American Mathematical Society","abstract":[{"lang":"eng","text":"This paper deals with local criteria for the convergence to a global minimiser for gradient flow trajectories and their discretisations. To obtain quantitative estimates on the speed of convergence, we consider variations on the classical Kurdyka–Łojasiewicz inequality for a large class of parameter functions. Our assumptions are given in terms of the initial data, without any reference to an equilibrium point. The main results are convergence statements for gradient flow curves and proximal point sequences to a global minimiser, together with sharp quantitative estimates on the speed of convergence. These convergence results apply in the general setting of lower semicontinuous functionals on complete metric spaces, generalising recent results for smooth functionals on Rn. While the non-smooth setting covers very general spaces, it is also useful for (non)-smooth functionals on Rn.\r\n."}],"oa":1,"author":[{"last_name":"Dello Schiavo","first_name":"Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","orcid":"0000-0002-9881-6870","full_name":"Dello Schiavo, Lorenzo"},{"orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan","full_name":"Maas, Jan","last_name":"Maas"},{"last_name":"Pedrotti","full_name":"Pedrotti, Francesco","first_name":"Francesco","id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c"}],"date_published":"2024-06-01T00:00:00Z","supplementarymaterial":"yes","month":"06","das_tickbox":"0","date_updated":"2026-10-02T12:13:16Z","ec_funded":1,"date_created":"2024-06-16T22:01:06Z","acknowledgement":"The authors gratefully acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 716117). This research was funded in part by the Austrian Science Fund (FWF) project 10.55776/ESP208. This research was funded in part by the Austrian Science Fund (FWF) project 10.55776/F65","department":[{"_id":"JaMa"}],"article_processing_charge":"No","doi":"10.1090/tran/9156","day":"01","_id":"17143","fulldoi":"https://doi.org/10.1090/tran/9156","oa_version":"Preprint","language":[{"iso":"eng"}],"isi":1,"arxiv":1,"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"17336"}]},"issue":"6","article_type":"original","page":"3779-3804","type":"journal_article","project":[{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"},{"name":"Configuration Spaces over Non-Smooth Spaces","grant_number":"E208","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","external_id":{"arxiv":["2304.05239"],"isi":["001203273300001"]},"publication_status":"published","publication_identifier":{"eissn":["1088-6850"],"issn":["0002-9947"]},"title":"Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces","citation":{"ista":"Dello Schiavo L, Maas J, Pedrotti F. 2024. Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces. Transactions of the American Mathematical Society. 377(6), 3779–3804.","chicago":"Dello Schiavo, Lorenzo, Jan Maas, and Francesco Pedrotti. “Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces.” <i>Transactions of the American Mathematical Society</i>. American Mathematical Society, 2024. <a href=\"https://doi.org/10.1090/tran/9156\">https://doi.org/10.1090/tran/9156</a>.","ieee":"L. Dello Schiavo, J. Maas, and F. Pedrotti, “Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces,” <i>Transactions of the American Mathematical Society</i>, vol. 377, no. 6. American Mathematical Society, pp. 3779–3804, 2024.","mla":"Dello Schiavo, Lorenzo, et al. “Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces.” <i>Transactions of the American Mathematical Society</i>, vol. 377, no. 6, American Mathematical Society, 2024, pp. 3779–804, doi:<a href=\"https://doi.org/10.1090/tran/9156\">10.1090/tran/9156</a>.","ama":"Dello Schiavo L, Maas J, Pedrotti F. Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces. <i>Transactions of the American Mathematical Society</i>. 2024;377(6):3779-3804. doi:<a href=\"https://doi.org/10.1090/tran/9156\">10.1090/tran/9156</a>","short":"L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.","apa":"Dello Schiavo, L., Maas, J., &#38; Pedrotti, F. (2024). Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces. <i>Transactions of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/tran/9156\">https://doi.org/10.1090/tran/9156</a>"},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2304.05239","open_access":"1"}]},{"date_published":"2024-04-01T00:00:00Z","supplementarymaterial":"no","month":"04","das_tickbox":"0","date_updated":"2026-10-02T12:11:07Z","ec_funded":1,"acknowledgement":"I am grateful to Boguslaw Zegarliński for asking me the questions in [3] and for helpful communication. I also want to thank Paata Ivanisvili for drawing [25] to my attention and for useful correspondence. Many thanks to the anonymous referee for the valuable comments and for pointing out some errors in an earlier version of the paper. This work is partially supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411 and the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337.","date_created":"2023-07-23T22:01:15Z","department":[{"_id":"JaMa"}],"intvolume":"        25","scopus_import":"1","status":"public","quality_controlled":"1","researchdata_availability":"no","year":"2024","volume":25,"publication":"Annales Henri Poincare","publisher":"Springer Nature","abstract":[{"lang":"eng","text":"In this paper, we prove the convexity of trace functionals (A,B,C)↦Tr|BpACq|s,\r\nfor parameters (p, q, s) that are best possible, where B and C are any n-by-n positive-definite matrices, and A is any n-by-n matrix. We also obtain the monotonicity versions of trace functionals of this type. As applications, we extend some results in Carlen et al. (Linear Algebra Appl 490:174–185, 2016), Hiai and Petz (Publ Res Inst Math Sci 48(3):525-542, 2012) and resolve a conjecture in Al-Rashed and Zegarliński (Infin Dimens Anal Quantum Probab Relat Top 17(4):1450029, 2014) in the matrix setting. Other conjectures in Al-Rashed and Zegarliński (Infin Dimens Anal Quantum Probab Relat Top 17(4):1450029, 2014) will also be discussed. We also show that some related trace functionals are not concave in general. Such concavity results were expected to hold in different problems."}],"corr_author":"1","oa":1,"author":[{"full_name":"Zhang, Haonan","orcid":"0000-0001-9537-9663","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","first_name":"Haonan","last_name":"Zhang"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","external_id":{"isi":["001025709100001"],"arxiv":["2108.05785"]},"publication_identifier":{"issn":["1424-0637"]},"publication_status":"published","title":"Some convexity and monotonicity results of trace functionals","citation":{"apa":"Zhang, H. (2024). Some convexity and monotonicity results of trace functionals. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-023-01345-7\">https://doi.org/10.1007/s00023-023-01345-7</a>","ieee":"H. Zhang, “Some convexity and monotonicity results of trace functionals,” <i>Annales Henri Poincare</i>, vol. 25. Springer Nature, pp. 2087–2106, 2024.","mla":"Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.” <i>Annales Henri Poincare</i>, vol. 25, Springer Nature, 2024, pp. 2087–106, doi:<a href=\"https://doi.org/10.1007/s00023-023-01345-7\">10.1007/s00023-023-01345-7</a>.","short":"H. Zhang, Annales Henri Poincare 25 (2024) 2087–2106.","ama":"Zhang H. Some convexity and monotonicity results of trace functionals. <i>Annales Henri Poincare</i>. 2024;25:2087-2106. doi:<a href=\"https://doi.org/10.1007/s00023-023-01345-7\">10.1007/s00023-023-01345-7</a>","ista":"Zhang H. 2024. Some convexity and monotonicity results of trace functionals. Annales Henri Poincare. 25, 2087–2106.","chicago":"Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.” <i>Annales Henri Poincare</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00023-023-01345-7\">https://doi.org/10.1007/s00023-023-01345-7</a>."},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2108.05785","open_access":"1"}],"article_processing_charge":"No","doi":"10.1007/s00023-023-01345-7","_id":"13271","day":"01","language":[{"iso":"eng"}],"fulldoi":"https://doi.org/10.1007/s00023-023-01345-7","oa_version":"Preprint","arxiv":1,"isi":1,"article_type":"original","page":"2087-2106","type":"journal_article","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"},{"name":"Curvature-dimension in noncommutative analysis","grant_number":"M03337","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6"}]},{"title":"A characterization of maps of bounded compression","publication_status":"published","publication_identifier":{"issn":["1331-0623"],"eissn":["1848-8013"]},"external_id":{"arxiv":["2304.11348"]},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2304.11348","open_access":"1"}],"citation":{"apa":"Dello Schiavo, L. (2024). A characterization of maps of bounded compression. <i>Mathematical Communications</i>. Udruga Matematicara Osijek.","short":"L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.","ama":"Dello Schiavo L. A characterization of maps of bounded compression. <i>Mathematical Communications</i>. 2024;29(1):137-142.","ieee":"L. Dello Schiavo, “A characterization of maps of bounded compression,” <i>Mathematical Communications</i>, vol. 29, no. 1. Udruga Matematicara Osijek, pp. 137–142, 2024.","mla":"Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” <i>Mathematical Communications</i>, vol. 29, no. 1, Udruga Matematicara Osijek, 2024, pp. 137–42.","chicago":"Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” <i>Mathematical Communications</i>. Udruga Matematicara Osijek, 2024.","ista":"Dello Schiavo L. 2024. A characterization of maps of bounded compression. Mathematical Communications. 29(1), 137–142."},"language":[{"iso":"eng"}],"oa_version":"Preprint","_id":"15252","day":"01","article_processing_charge":"No","project":[{"name":"Configuration Spaces over Non-Smooth Spaces","grant_number":"E208","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c"}],"type":"journal_article","page":"137-142","article_type":"original","issue":"1","arxiv":1,"month":"01","supplementarymaterial":"no","date_published":"2024-01-01T00:00:00Z","department":[{"_id":"JaMa"}],"date_created":"2024-03-31T22:01:12Z","acknowledgement":"The author gratefully acknowledges funding of his current position by the Austrian Science\r\nFund (FWF), grant ESPRIT208. He is grateful to Enrico Pasqualetto for pointing out some\r\nreferences on maps of bounded compression.","date_updated":"2026-10-02T12:15:11Z","das_tickbox":"0","publication":"Mathematical Communications","year":"2024","volume":29,"researchdata_availability":"no","status":"public","quality_controlled":"1","scopus_import":"1","intvolume":"        29","author":[{"last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo","orcid":"0000-0002-9881-6870"}],"oa":1,"corr_author":"1","abstract":[{"text":"A measurable map between measure spaces is shown to have bounded compression if and only if its image via the measure-algebra functor is Lipschitz-continuous w.r.t. the measure-algebra distances. This provides a natural interpretation of maps of bounded compression/deformation by means of the measure-algebra functor and corrobo-rates the assertion that maps of bounded deformation are a natural class of morphisms for the category of complete and separable metric measure spaces.","lang":"eng"}],"publisher":"Udruga Matematicara Osijek"},{"type":"journal_article","has_accepted_license":"1","project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics"},{"_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","grant_number":"E208","name":"Configuration Spaces over Non-Smooth Spaces"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"isi":1,"issue":"5","article_type":"original","doi":"10.1112/jlms.70003","day":"01","_id":"18490","fulldoi":"https://doi.org/10.1112/jlms.70003","language":[{"iso":"eng"}],"oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","citation":{"ista":"Dello Schiavo L, Herry R, Kopfer E, Sturm KT. 2024. Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. Journal of the London Mathematical Society. 110(5), e70003.","chicago":"Dello Schiavo, Lorenzo, Ronan Herry, Eva Kopfer, and Karl Theodor Sturm. “Conformally Invariant Random Fields, Liouville Quantum Gravity Measures, and Random Paneitz Operators on Riemannian Manifolds of Even Dimension.” <i>Journal of the London Mathematical Society</i>. London Mathematical Society, 2024. <a href=\"https://doi.org/10.1112/jlms.70003\">https://doi.org/10.1112/jlms.70003</a>.","ieee":"L. Dello Schiavo, R. Herry, E. Kopfer, and K. T. Sturm, “Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension,” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 5. London Mathematical Society, 2024.","mla":"Dello Schiavo, Lorenzo, et al. “Conformally Invariant Random Fields, Liouville Quantum Gravity Measures, and Random Paneitz Operators on Riemannian Manifolds of Even Dimension.” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 5, e70003, London Mathematical Society, 2024, doi:<a href=\"https://doi.org/10.1112/jlms.70003\">10.1112/jlms.70003</a>.","short":"L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).","ama":"Dello Schiavo L, Herry R, Kopfer E, Sturm KT. Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. <i>Journal of the London Mathematical Society</i>. 2024;110(5). doi:<a href=\"https://doi.org/10.1112/jlms.70003\">10.1112/jlms.70003</a>","apa":"Dello Schiavo, L., Herry, R., Kopfer, E., &#38; Sturm, K. T. (2024). Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. <i>Journal of the London Mathematical Society</i>. London Mathematical Society. <a href=\"https://doi.org/10.1112/jlms.70003\">https://doi.org/10.1112/jlms.70003</a>"},"external_id":{"isi":["001351918100029"]},"publication_status":"published","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"title":"Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_number":"e70003","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"abstract":[{"text":"For large classes of even-dimensional Riemannian manifolds (Formula presented.), we construct and analyze conformally invariant random fields. These centered Gaussian fields (Formula presented.), called co-polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: (Formula presented.). They share a fundamental quasi-invariance property under conformal transformations. In terms of the co-polyharmonic Gaussian field (Formula presented.), we define the Liouville Quantum Gravity measure, a random measure on (Formula presented.), heuristically given as (Formula presented.) and rigorously obtained as almost sure weak limit of the right-hand side with (Formula presented.) replaced by suitable regular approximations (Formula presented.). In terms on the Liouville Quantum Gravity measure, we define the Liouville Brownian motion on (Formula presented.) and the random GJMS operators. Finally, we present an approach to a conformal field theory in arbitrary even dimension with an ansatz based on Branson's (Formula presented.) -curvature: we give a rigorous meaning to the Polyakov–Liouville measure (Formula presented.) and we derive the corresponding conformal anomaly. The set of admissible manifolds is conformally invariant. It includes all compact 2-dimensional Riemannian manifolds, all compact non-negatively curved Einstein manifolds of even dimension, and large classes of compact hyperbolic manifolds of even dimension. However, not every compact even-dimensional Riemannian manifold is admissible. Our results concerning the logarithmic divergence of the kernel (Formula presented.) rely on new sharp estimates for heat kernels and higher order Green kernels on arbitrary closed manifolds. ","lang":"eng"}],"oa":1,"file_date_updated":"2024-11-04T08:54:26Z","author":[{"last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo","orcid":"0000-0002-9881-6870"},{"full_name":"Herry, Ronan","first_name":"Ronan","last_name":"Herry"},{"last_name":"Kopfer","first_name":"Eva","full_name":"Kopfer, Eva"},{"last_name":"Sturm","first_name":"Karl Theodor","full_name":"Sturm, Karl Theodor"}],"publisher":"London Mathematical Society","researchdata_availability":"not applicable","year":"2024","volume":110,"publication":"Journal of the London Mathematical Society","intvolume":"       110","scopus_import":"1","status":"public","ddc":["510"],"OA_type":"hybrid","quality_controlled":"1","ec_funded":1,"date_created":"2024-11-03T23:01:44Z","acknowledgement":"The authors are grateful to Masha Gordina for helpful references, and to Nathanaël Berestycki, Baptiste Cerclé, and Ewain Gwynne for valuable comments on the first circulated version of this paper. They also would like to thank Sebastian Andres, Peter Friz, and Yizheng Yuan for pointing out an erroneous formulation in the previous version of Theorem 5.7. Moreover, KTS would liketo express his thanks to Sebastian Andres, Matthias Erbar, Martin Huesmann, and Jan Mass for stimulating discussions on previous attempts to this project. LDS gratefully acknowledges financial support from the European Research Council (grant agreement No 716117, awarded to J. Maas), from the Austrian Science Fund (FWF) project 10.55776/ESP208, and from the Austrian Science Fund (FWF) project 10.55776/F65.RH, EK, and KTS gratefully acknowledge funding by the Deutsche Forschungsgemeinschaft through the project “Random Riemannian Geometry” within the SPP 2265 “Random Geomet-ric Systems,” through the Hausdorff Center for Mathematics (project ID 390685813), and through project B03 within the CRC 1060 (project ID 211504053). RH and KTS also gratefully acknowledge financial support from the European Research Council through the ERC AdG “RicciBounds”(grant agreement 694405).Data sharing not applicable to this article as no datasets were generated or analyzed during the current study. Open access funding enabled and organized by Projekt DEAL.","department":[{"_id":"JaMa"}],"das_tickbox":"0","date_updated":"2026-10-02T12:17:50Z","file":[{"file_id":"18497","file_size":911476,"relation":"main_file","content_type":"application/pdf","date_created":"2024-11-04T08:54:26Z","file_name":"2024_JourLondonMathSoc_Schiavo.pdf","success":1,"checksum":"143816823b5f43bd3748da8e3e91cef5","date_updated":"2024-11-04T08:54:26Z","access_level":"open_access","creator":"dernst"}],"supplementarymaterial":"no","OA_place":"publisher","month":"11","date_published":"2024-11-01T00:00:00Z"},{"supplementarymaterial":"no","month":"04","date_published":"2024-04-09T00:00:00Z","dataavailabilitystatement":"No data was generated as part of this work.","date_created":"2024-04-29T08:47:28Z","acknowledgement":"Open access funding provided by the Carolinas Consortium.\r\nH.Z. is supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337. H.Z. would like to thank the American Institute of Mathematics and the AIM workshop Analysis on the hypercube with applications to quantum computing. He is also grateful to the organizers and other participants for creating an active atmosphere. The research of C.R. has been supported by ANR project QTraj (ANR-20-CE40-0024-01) of the French National Research Agency (ANR). C.R. acknowledges the support of the Munich Center for Quantum Sciences and Technology, as well as the Humboldt Foundation. C.R. would like to thank Amanda Young for fruitful discussion on the applications of Friedgut’s Junta theorem to learning quantum dynamics. The research of M.W. was funded by the Austrian Science Fund (FWF) under the Esprit Programme [ESP 156]. For the purpose of Open Access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript (AAM) version arising from this submission. The authors want to thank Francisco Escudero Gutierrez and Hsin-Yuan Huang for helpful comments on an earlier version of the paper. They are grateful to the referees for the careful reading and helpful comments.","department":[{"_id":"JaMa"}],"das_tickbox":"1","date_updated":"2026-10-02T12:16:36Z","file":[{"relation":"main_file","content_type":"application/pdf","file_size":653676,"file_id":"15365","creator":"dernst","access_level":"open_access","date_updated":"2024-05-06T06:18:45Z","checksum":"8ecd168755f0d40ebd7cd0b71063acfc","file_name":"2024_CommMathPhysics_Rouze.pdf","date_created":"2024-05-06T06:18:45Z","success":1}],"researchdata_availability":"not applicable","volume":405,"year":"2024","publication":"Communications in Mathematical Physics","intvolume":"       405","scopus_import":"1","pmid":1,"ddc":["510"],"quality_controlled":"1","status":"public","abstract":[{"text":"We extend three related results from the analysis of influences of Boolean functions to the quantum setting, namely the KKL theorem, Friedgut’s Junta theorem and Talagrand’s variance inequality for geometric influences. Our results are derived by a joint use of recently studied hypercontractivity and gradient estimates. These generic tools also allow us to derive generalizations of these results in a general von Neumann algebraic setting beyond the case of the quantum hypercube, including examples in infinite dimensions relevant to quantum information theory such as continuous variables quantum systems. Finally, we comment on the implications of our results as regards to noncommutative extensions of isoperimetric type inequalities, quantum circuit complexity lower bounds and the learnability of quantum observables.","lang":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"corr_author":"1","file_date_updated":"2024-05-06T06:18:45Z","oa":1,"author":[{"last_name":"Rouzé","first_name":"Cambyse","full_name":"Rouzé, Cambyse"},{"first_name":"Melchior","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","orcid":"0000-0002-0519-4241","full_name":"Wirth, Melchior","last_name":"Wirth"},{"orcid":"0000-0001-9537-9663","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","first_name":"Haonan","full_name":"Zhang, Haonan","last_name":"Zhang"}],"publisher":"Springer Nature","external_id":{"isi":["001199509500004"],"arxiv":["2209.07279"],"pmid":["38606337"]},"publication_status":"published","publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"title":"Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_number":"95","citation":{"ista":"Rouzé C, Wirth M, Zhang H. 2024. Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. Communications in Mathematical Physics. 405(4), 95.","chicago":"Rouzé, Cambyse, Melchior Wirth, and Haonan Zhang. “Quantum Talagrand, KKL and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00220-024-04981-0\">https://doi.org/10.1007/s00220-024-04981-0</a>.","apa":"Rouzé, C., Wirth, M., &#38; Zhang, H. (2024). Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-024-04981-0\">https://doi.org/10.1007/s00220-024-04981-0</a>","ieee":"C. Rouzé, M. Wirth, and H. Zhang, “Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions,” <i>Communications in Mathematical Physics</i>, vol. 405, no. 4. Springer Nature, 2024.","mla":"Rouzé, Cambyse, et al. “Quantum Talagrand, KKL and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions.” <i>Communications in Mathematical Physics</i>, vol. 405, no. 4, 95, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s00220-024-04981-0\">10.1007/s00220-024-04981-0</a>.","short":"C. Rouzé, M. Wirth, H. Zhang, Communications in Mathematical Physics 405 (2024).","ama":"Rouzé C, Wirth M, Zhang H. Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. <i>Communications in Mathematical Physics</i>. 2024;405(4). doi:<a href=\"https://doi.org/10.1007/s00220-024-04981-0\">10.1007/s00220-024-04981-0</a>"},"doi":"10.1007/s00220-024-04981-0","_id":"15350","day":"09","language":[{"iso":"eng"}],"fulldoi":"https://doi.org/10.1007/s00220-024-04981-0","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","type":"journal_article","has_accepted_license":"1","project":[{"name":"Curvature-dimension in noncommutative analysis","grant_number":"M03337","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6"},{"_id":"34c6ea2d-11ca-11ed-8bc3-c04f3c502833","name":"Gradient flow techniques for quantum Markov semigroups","grant_number":"ESP156_N"}],"arxiv":1,"isi":1,"issue":"4","article_type":"original"},{"researchdata_availability":"no","year":"2024","volume":11,"publication":"Journal de l'Ecole Polytechnique - Mathematiques","intvolume":"        11","scopus_import":"1","ddc":["510"],"status":"public","quality_controlled":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"abstract":[{"lang":"eng","text":"We study the geometry of Poisson point processes from the point of view of optimal transport and Ricci lower bounds. We construct a Riemannian structure on the space of point processes and the associated distance W that corresponds to the Benamou–Brenier variational formula. Our main tool is a non-local continuity equation formulated with the difference operator. The closure of the domain of the relative entropy is a complete geodesic space, when endowed with \r\nW. The geometry of this non-local infinite-dimensional space is analogous to that of spaces with positive Ricci curvature. Among others: (a) the Ornstein–Uhlenbeck semi-group is the gradient flow of the relative entropy; (b) the Poisson space has an entropic Ricci curvature bounded from below by 1; (c) W satisfies an HWI inequality."},{"lang":"fre","text":"Nous étudions la géométrie des processus ponctuels de Poisson à travers le prisme du transport optimal et de la minoration de la courbure de Ricci. Nous construisons une structure\r\nriemannienne sur l’espace des processus ponctuels et la distance associée W qui concorde avec la formulation variationnelle de Benamou–Brenier. Notre analyse repose sur une équation de continuité non locale définie à l’aide de l’opérateur de différence. La fermeture du domaine de l’entropie relative, équipé de W, est un espace géodésique complet. La géométrie de cet espace non local et de dimension infinie est analogue à celle des espaces à courbure de Ricci strictement positive. Entre autres : (a) le semi-groupe d’Ornstein–Uhlenbeck est le flot du gradient de l’entropie relative ; (b) l’espace de Poisson a une courbure de Ricci entropique minorée par 1 ; (c) W satisfait une inégalité HWI."}],"corr_author":"1","file_date_updated":"2024-10-01T07:31:56Z","oa":1,"author":[{"full_name":"Dello Schiavo, Lorenzo","orcid":"0000-0002-9881-6870","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo","last_name":"Dello Schiavo"},{"full_name":"Herry, Ronan","first_name":"Ronan","last_name":"Herry"},{"first_name":"Kohei","full_name":"Suzuki, Kohei","last_name":"Suzuki"}],"publisher":"Ecole Polytechnique","supplementarymaterial":"no","month":"01","date_published":"2024-01-01T00:00:00Z","date_created":"2024-09-29T22:01:38Z","department":[{"_id":"JaMa"}],"das_tickbox":"0","date_updated":"2026-10-02T12:17:19Z","file":[{"access_level":"open_access","date_updated":"2024-10-01T07:31:56Z","creator":"dernst","checksum":"5a51da5fb5f7fcaada378d43444cced8","date_created":"2024-10-01T07:31:56Z","file_name":"2024_JourEcolePolytechniqueMath_DelloSchiavo.pdf","success":1,"relation":"main_file","content_type":"application/pdf","file_size":1250553,"file_id":"18164"}],"doi":"10.5802/jep.270","day":"01","_id":"18158","oa_version":"Published Version","fulldoi":"https://doi.org/10.5802/jep.270","language":[{"iso":"eng"}],"article_processing_charge":"Yes","type":"journal_article","has_accepted_license":"1","arxiv":1,"isi":1,"article_type":"original","page":"957-1010","external_id":{"arxiv":["2303.00398"],"isi":["001367254000003"]},"publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]},"publication_status":"published","title":"Wasserstein geometry and Ricci curvature bounds for Poisson spaces","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"ama":"Dello Schiavo L, Herry R, Suzuki K. Wasserstein geometry and Ricci curvature bounds for Poisson spaces. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. 2024;11:957-1010. doi:<a href=\"https://doi.org/10.5802/jep.270\">10.5802/jep.270</a>","short":"L. Dello Schiavo, R. Herry, K. Suzuki, Journal de l’Ecole Polytechnique - Mathematiques 11 (2024) 957–1010.","mla":"Dello Schiavo, Lorenzo, et al. “Wasserstein Geometry and Ricci Curvature Bounds for Poisson Spaces.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 11, Ecole Polytechnique, 2024, pp. 957–1010, doi:<a href=\"https://doi.org/10.5802/jep.270\">10.5802/jep.270</a>.","ieee":"L. Dello Schiavo, R. Herry, and K. Suzuki, “Wasserstein geometry and Ricci curvature bounds for Poisson spaces,” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 11. Ecole Polytechnique, pp. 957–1010, 2024.","apa":"Dello Schiavo, L., Herry, R., &#38; Suzuki, K. (2024). Wasserstein geometry and Ricci curvature bounds for Poisson spaces. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique. <a href=\"https://doi.org/10.5802/jep.270\">https://doi.org/10.5802/jep.270</a>","chicago":"Dello Schiavo, Lorenzo, Ronan Herry, and Kohei Suzuki. “Wasserstein Geometry and Ricci Curvature Bounds for Poisson Spaces.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique, 2024. <a href=\"https://doi.org/10.5802/jep.270\">https://doi.org/10.5802/jep.270</a>.","ista":"Dello Schiavo L, Herry R, Suzuki K. 2024. Wasserstein geometry and Ricci curvature bounds for Poisson spaces. Journal de l’Ecole Polytechnique - Mathematiques. 11, 957–1010."}},{"department":[{"_id":"JaMa"}],"date_created":"2024-02-04T23:00:54Z","acknowledgement":"The authors would like to thank Matthias Erbar and Ronan Herry for valuable discussions on this project. They are also grateful to Nathanaël Berestycki, and Fabrice Baudoin for respectively pointing out the references [7], and [6, 24], and to Julien Fageot and Thomas Letendre for pointing out a mistake in a previous version of the proof of Proposition 3.10. The authors feel very much indebted to an anonymous reviewer for his/her careful reading and the many valuable suggestions that have significantly contributed to the improvement of the paper. L.D.S. gratefully acknowledges financial support by the Deutsche Forschungsgemeinschaft through CRC 1060 as well as through SPP 2265, and by the Austrian Science Fund (FWF) grant F65 at Institute of Science and Technology Austria. This research was funded in whole or in part by the Austrian Science Fund (FWF) ESPRIT 208. For the purpose of open access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission. E.K. and K.-T.S. gratefully acknowledge funding by the Deutsche Forschungsgemeinschaft through the Hausdorff Center for Mathematics and through CRC 1060 as well as through SPP 2265.\r\nOpen Access funding enabled and organized by Projekt DEAL.","file":[{"file_size":1294993,"file_id":"18789","relation":"main_file","content_type":"application/pdf","checksum":"33c688bdf296c3d8f8bbd96c7dd26037","success":1,"date_created":"2025-01-09T08:13:34Z","file_name":"2024_PotentialAnalysis_DelloSchiavo.pdf","creator":"dernst","access_level":"open_access","date_updated":"2025-01-09T08:13:34Z"}],"das_tickbox":"0","date_updated":"2026-10-02T12:18:13Z","month":"10","OA_place":"publisher","supplementarymaterial":"no","date_published":"2024-10-01T00:00:00Z","file_date_updated":"2025-01-09T08:13:34Z","oa":1,"author":[{"last_name":"Dello Schiavo","orcid":"0000-0002-9881-6870","first_name":"Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","full_name":"Dello Schiavo, Lorenzo"},{"full_name":"Kopfer, Eva","first_name":"Eva","last_name":"Kopfer"},{"full_name":"Sturm, Karl Theodor","first_name":"Karl Theodor","last_name":"Sturm"}],"abstract":[{"lang":"eng","text":"We study random perturbations of a Riemannian manifold (M, g) by means of so-called\r\nFractional Gaussian Fields, which are defined intrinsically by the given manifold. The fields\r\nh• : ω \u0002→ hω will act on the manifold via the conformal transformation g \u0002→ gω := e2hω g.\r\nOur focus will be on the regular case with Hurst parameter H > 0, the critical case H = 0\r\nbeing the celebrated Liouville geometry in two dimensions. We want to understand how basic\r\ngeometric and functional-analytic quantities like diameter, volume, heat kernel, Brownian\r\nmotion, spectral bound, or spectral gap change under the influence of the noise. And if so, is\r\nit possible to quantify these dependencies in terms of key parameters of the noise? Another\r\ngoal is to define and analyze in detail the Fractional Gaussian Fields on a general Riemannian\r\nmanifold, a fascinating object of independent interest."}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"publisher":"Springer Nature","volume":61,"year":"2024","publication":"Potential Analysis","researchdata_availability":"no","scopus_import":"1","ddc":["510"],"OA_type":"hybrid","status":"public","quality_controlled":"1","intvolume":"        61","citation":{"mla":"Dello Schiavo, Lorenzo, et al. “A Discovery Tour in Random Riemannian Geometry.” <i>Potential Analysis</i>, vol. 61, Springer Nature, 2024, pp. 501–53, doi:<a href=\"https://doi.org/10.1007/s11118-023-10118-0\">10.1007/s11118-023-10118-0</a>.","ieee":"L. Dello Schiavo, E. Kopfer, and K. T. Sturm, “A discovery tour in random Riemannian geometry,” <i>Potential Analysis</i>, vol. 61. Springer Nature, pp. 501–553, 2024.","short":"L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis 61 (2024) 501–553.","ama":"Dello Schiavo L, Kopfer E, Sturm KT. A discovery tour in random Riemannian geometry. <i>Potential Analysis</i>. 2024;61:501-553. doi:<a href=\"https://doi.org/10.1007/s11118-023-10118-0\">10.1007/s11118-023-10118-0</a>","apa":"Dello Schiavo, L., Kopfer, E., &#38; Sturm, K. T. (2024). A discovery tour in random Riemannian geometry. <i>Potential Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11118-023-10118-0\">https://doi.org/10.1007/s11118-023-10118-0</a>","ista":"Dello Schiavo L, Kopfer E, Sturm KT. 2024. A discovery tour in random Riemannian geometry. Potential Analysis. 61, 501–553.","chicago":"Dello Schiavo, Lorenzo, Eva Kopfer, and Karl Theodor Sturm. “A Discovery Tour in Random Riemannian Geometry.” <i>Potential Analysis</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s11118-023-10118-0\">https://doi.org/10.1007/s11118-023-10118-0</a>."},"title":"A discovery tour in random Riemannian geometry","external_id":{"arxiv":["2012.06796"],"isi":["001151118800001"]},"publication_status":"published","publication_identifier":{"eissn":["1572-929X"],"issn":["0926-2601"]},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","type":"journal_article","project":[{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"has_accepted_license":"1","article_type":"original","page":"501-553","isi":1,"arxiv":1,"_id":"14934","day":"01","fulldoi":"https://doi.org/10.1007/s11118-023-10118-0","oa_version":"Published Version","language":[{"iso":"eng"}],"doi":"10.1007/s11118-023-10118-0","article_processing_charge":"Yes (via OA deal)"}]