[{"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","external_id":{"arxiv":["2408.16575"]},"doi":"10.48550/arXiv.2408.16575","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2408.16575","open_access":"1"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-02T11:55:43Z","license":"https://creativecommons.org/licenses/by/4.0/","title":"Merge trees of periodic filtrations","oa":1,"arxiv":1,"citation":{"short":"H. Edelsbrunner, T. Heiss, ArXiv (n.d.).","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>.","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>.","ieee":"H. Edelsbrunner and T. Heiss, “Merge trees of periodic filtrations,” <i>arXiv</i>. .","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>","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>.","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>"},"publication":"arXiv","_id":"18673","month":"08","article_processing_charge":"No","year":"2024","abstract":[{"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","lang":"eng"}],"project":[{"grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Alpha Shape Theory Extended"},{"_id":"2561EBF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Persistence and stability of geometric complexes","grant_number":"I02979-N35"}],"date_published":"2024-08-29T00:00:00Z","status":"public","publication_status":"draft","type":"preprint","das_tickbox":"0","day":"29","oa_version":"Preprint","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"supplementarymaterial":"no","author":[{"orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert"},{"last_name":"Heiss","full_name":"Heiss, Teresa","first_name":"Teresa","orcid":"0000-0002-1780-2689","id":"4879BB4E-F248-11E8-B48F-1D18A9856A87"}],"department":[{"_id":"HeEd"}],"researchdata_availability":"no","related_material":{"record":[{"status":"public","id":"18667","relation":"dissertation_contains"}]},"fulldoi":"https://doi.org/10.48550/arXiv.2408.16575","corr_author":"1","ec_funded":1,"OA_place":"repository"},{"researchdata_availability":"no","related_material":{"record":[{"status":"public","id":"18979","relation":"dissertation_contains"},{"id":"20585","relation":"later_version","status":"public"},{"relation":"dissertation_contains","id":"15094","status":"public"}]},"department":[{"_id":"HeEd"}],"author":[{"first_name":"Sebastiano","orcid":"0000-0001-6249-0832","id":"34D2A09C-F248-11E8-B48F-1D18A9856A87","full_name":"Cultrera di Montesano, Sebastiano","last_name":"Cultrera di Montesano"},{"last_name":"Draganov","full_name":"Draganov, Ondrej","id":"2B23F01E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0464-3823","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","full_name":"Saghafian, Morteza","id":"f86f7148-b140-11ec-9577-95435b8df824","first_name":"Morteza"}],"OA_place":"repository","corr_author":"1","fulldoi":"https://doi.org/10.48550/arXiv.2212.03128","day":"07","das_tickbox":"0","supplementarymaterial":"no","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa_version":"Preprint","publication_status":"draft","status":"public","date_published":"2024-02-07T00:00:00Z","type":"preprint","month":"02","abstract":[{"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.","lang":"eng"}],"year":"2024","article_processing_charge":"No","publication":"arXiv","arxiv":1,"citation":{"ieee":"S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” <i>arXiv</i>. .","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>.","short":"S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv (n.d.).","ista":"Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.","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>","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>","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>."},"_id":"15091","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","main_file_link":[{"url":"https://arxiv.org/abs/2212.03128","open_access":"1"}],"oa":1,"title":"Chromatic alpha complexes","date_updated":"2026-10-02T11:56:13Z","language":[{"iso":"eng"}],"doi":"10.48550/arXiv.2212.03128","date_created":"2024-03-08T10:13:59Z","external_id":{"arxiv":["2212.03128"]},"article_number":"2212.03128"},{"scopus_import":"1","date_updated":"2026-10-02T11:57:59Z","title":"Expansion properties of the young supernova type Iax remnant Pa 30 revealed","OA_type":"gold","oa":1,"DOAJ_listed":"1","APC_amount":"3080,76 EUR","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":975,"_id":"18564","arxiv":1,"citation":{"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.","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).","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.","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>","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>","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>."},"file":[{"checksum":"51e790dd3d85ca984e656734f9f611da","creator":"dernst","success":1,"file_name":"2024_AstrophysJourLetters_Cunningham.pdf","relation":"main_file","content_type":"application/pdf","file_id":"18573","file_size":90328868,"date_updated":"2024-11-20T12:24:52Z","access_level":"open_access","date_created":"2024-11-20T12:24:52Z"}],"publication":"The Astrophysical Journal Letters","issue":"1","article_number":"L7","external_id":{"isi":["001340831400001"],"arxiv":["2410.10940"]},"quality_controlled":"1","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.","date_created":"2024-11-19T08:12:59Z","doi":"10.3847/2041-8213/ad713b","language":[{"iso":"eng"}],"intvolume":"       975","isi":1,"ddc":["520"],"supplementarymaterial":"no","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"publication_identifier":{"issn":["2041-8205"],"eissn":["2041-8213"]},"das_tickbox":"0","day":"24","has_accepted_license":"1","fulldoi":"https://doi.org/10.3847/2041-8213/ad713b","OA_place":"publisher","researchdata_availability":"no","department":[{"_id":"IlCa"}],"author":[{"first_name":"Tim","last_name":"Cunningham","full_name":"Cunningham, Tim"},{"first_name":"Ilaria","orcid":"0000-0002-4770-5388","id":"8ae5b6e7-2a03-11ee-914d-b58ed7a3b47d","last_name":"Caiazzo","full_name":"Caiazzo, Ilaria"},{"last_name":"Prusinski","full_name":"Prusinski, Nikolaus Z.","first_name":"Nikolaus Z."},{"last_name":"Fuller","full_name":"Fuller, James","first_name":"James"},{"last_name":"Raymond","full_name":"Raymond, John C.","first_name":"John C."},{"first_name":"S. R.","last_name":"Kulkarni","full_name":"Kulkarni, S. R."},{"first_name":"James D.","full_name":"Neill, James D.","last_name":"Neill"},{"last_name":"Duffell","full_name":"Duffell, Paul","first_name":"Paul"},{"full_name":"Martin, Chris","last_name":"Martin","first_name":"Chris"},{"first_name":"Odette","last_name":"Toloza","full_name":"Toloza, Odette"},{"first_name":"David","full_name":"Charbonneau, David","last_name":"Charbonneau"},{"last_name":"Kenyon","full_name":"Kenyon, Scott J.","first_name":"Scott J."},{"last_name":"Lin","full_name":"Lin, Zeren","first_name":"Zeren"},{"first_name":"Mateusz","last_name":"Matuszewski","full_name":"Matuszewski, Mateusz"},{"full_name":"McGurk, Rosalie","last_name":"McGurk","first_name":"Rosalie"},{"first_name":"Abigail","last_name":"Polin","full_name":"Polin, Abigail"},{"last_name":"Yao","full_name":"Yao, Philippe Z.","first_name":"Philippe Z."}],"article_type":"original","year":"2024","article_processing_charge":"Yes","publisher":"IOP Publishing","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"abstract":[{"lang":"eng","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."}],"month":"10","type":"journal_article","file_date_updated":"2024-11-20T12:24:52Z","date_published":"2024-10-24T00:00:00Z","status":"public","publication_status":"published"},{"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","scopus_import":"1","date_updated":"2026-10-02T11:58:30Z","oa":1,"title":"The companion mass distribution of post common envelope hot subdwarf binaries: Evidence for boosted and disrupted magnetic braking?","OA_type":"hybrid","license":"https://creativecommons.org/licenses/by/3.0/","file":[{"creator":"dernst","checksum":"56fe719e26bc0c2a99ac5322791107e5","success":1,"date_updated":"2025-01-02T09:34:25Z","file_size":7539133,"file_id":"18719","content_type":"application/pdf","relation":"main_file","file_name":"2024_PASP_Blomberg.pdf","date_created":"2025-01-02T09:34:25Z","access_level":"open_access"}],"arxiv":1,"citation":{"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.","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>.","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.","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).","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>","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>.","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>"},"publication":"Publications of the Astronomical Society of the Pacific","_id":"18709","volume":136,"quality_controlled":"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.","article_number":"124201","issue":"12","external_id":{"arxiv":["2408.15334"],"isi":["001379604600001"]},"intvolume":"       136","isi":1,"ddc":["520"],"doi":"10.1088/1538-3873/ad94a2","language":[{"iso":"eng"}],"das_tickbox":"0","has_accepted_license":"1","day":"01","supplementarymaterial":"yes","oa_version":"Published Version","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 3.0 Unported (CC BY 3.0)","short":"CC BY (3.0)","legal_code_url":"https://creativecommons.org/licenses/by/3.0/legalcode"},"publication_identifier":{"issn":["0004-6280"]},"researchdata_availability":"no","author":[{"first_name":"Lisa","full_name":"Blomberg, Lisa","last_name":"Blomberg"},{"first_name":"Kareem","full_name":"El-Badry, Kareem","last_name":"El-Badry"},{"full_name":"Breivik, Katelyn","last_name":"Breivik","first_name":"Katelyn"},{"full_name":"Caiazzo, Ilaria","last_name":"Caiazzo","id":"8ae5b6e7-2a03-11ee-914d-b58ed7a3b47d","first_name":"Ilaria","orcid":"0000-0002-4770-5388"},{"first_name":"Pranav","last_name":"Nagarajan","full_name":"Nagarajan, Pranav"},{"first_name":"Antonio","last_name":"Rodriguez","full_name":"Rodriguez, Antonio"},{"last_name":"Van Roestel","full_name":"Van Roestel, Jan","first_name":"Jan"},{"first_name":"Zachary P.","full_name":"Vanderbosch, Zachary P.","last_name":"Vanderbosch"},{"first_name":"Natsuko","last_name":"Yamaguchi","full_name":"Yamaguchi, Natsuko"}],"department":[{"_id":"IlCa"}],"article_type":"original","fulldoi":"https://doi.org/10.1088/1538-3873/ad94a2","OA_place":"publisher","month":"12","year":"2024","article_processing_charge":"No","publisher":"IOP Publishing","abstract":[{"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.","lang":"eng"}],"date_published":"2024-12-01T00:00:00Z","status":"public","publication_status":"published","type":"journal_article","file_date_updated":"2025-01-02T09:34:25Z"},{"file":[{"file_id":"15386","file_size":7477013,"relation":"main_file","file_name":"2024_NatureComm_Hibshman.pdf","content_type":"application/pdf","date_updated":"2024-05-13T11:46:19Z","date_created":"2024-05-13T11:46:19Z","access_level":"open_access","checksum":"509c65919067a03ef8ad65c7192cd860","creator":"dernst","success":1}],"citation":{"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>.","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>","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>","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.","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).","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>."},"publication":"Nature Communications","volume":15,"_id":"15372","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-02T12:00:51Z","scopus_import":"1","DOAJ_listed":"1","oa":1,"title":"Unraveling the mechanisms of PAMless DNA interrogation by SpRY-Cas9","intvolume":"        15","ddc":["570"],"doi":"10.1038/s41467-024-47830-3","language":[{"iso":"eng"}],"quality_controlled":"1","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.","article_number":"3663","external_id":{"pmid":["38688943"]},"pmid":1,"author":[{"last_name":"Hibshman","full_name":"Hibshman, Grace N.","first_name":"Grace N."},{"orcid":"0000-0003-0456-0753","first_name":"Jack Peter Kelly","id":"96aecfa5-8931-11ee-af30-aa6a5d6eee0e","full_name":"Bravo, Jack Peter Kelly","last_name":"Bravo"},{"full_name":"Hooper, Matthew M.","last_name":"Hooper","first_name":"Matthew M."},{"last_name":"Dangerfield","full_name":"Dangerfield, Tyler L.","first_name":"Tyler L."},{"last_name":"Zhang","full_name":"Zhang, Hongshan","first_name":"Hongshan"},{"full_name":"Finkelstein, Ilya J.","last_name":"Finkelstein","first_name":"Ilya J."},{"last_name":"Johnson","full_name":"Johnson, Kenneth A.","first_name":"Kenneth A."},{"first_name":"David W.","full_name":"Taylor, David W.","last_name":"Taylor"}],"department":[{"_id":"JaBr"}],"researchdata_availability":"yes","article_type":"original","fulldoi":"https://doi.org/10.1038/s41467-024-47830-3","corr_author":"1","das_tickbox":"1","day":"30","has_accepted_license":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa_version":"Published Version","supplementarymaterial":"yes","publication_identifier":{"eissn":["2041-1723"]},"date_published":"2024-04-30T00:00:00Z","status":"public","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.","publication_status":"published","type":"journal_article","file_date_updated":"2024-05-13T11:46:19Z","month":"04","publisher":"Springer Nature","article_processing_charge":"Yes","year":"2024","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."}]},{"day":"27","das_tickbox":"1","publication_identifier":{"eissn":["1476-4687"],"issn":["0028-0836"]},"supplementarymaterial":"yes","oa_version":"Submitted Version","article_type":"original","researchdata_availability":"yes","department":[{"_id":"JaBr"}],"author":[{"first_name":"Jack Peter Kelly","orcid":"0000-0003-0456-0753","id":"96aecfa5-8931-11ee-af30-aa6a5d6eee0e","last_name":"Bravo","full_name":"Bravo, Jack Peter Kelly"},{"full_name":"Ramos, Delisa A.","last_name":"Ramos","first_name":"Delisa A."},{"last_name":"Fregoso Ocampo","full_name":"Fregoso Ocampo, Rodrigo","first_name":"Rodrigo"},{"last_name":"Ingram","full_name":"Ingram, Caiden","first_name":"Caiden"},{"first_name":"David W.","full_name":"Taylor, David W.","last_name":"Taylor"}],"OA_place":"repository","corr_author":"1","fulldoi":"https://doi.org/10.1038/s41586-024-07515-9","month":"06","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"}],"article_processing_charge":"No","year":"2024","publisher":"Springer Nature","publication_status":"published","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","status":"public","type":"journal_article","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","main_file_link":[{"url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11649018/","open_access":"1"}],"title":"Plasmid targeting and destruction by the DdmDE bacterial defence system","oa":1,"OA_type":"green","scopus_import":"1","date_updated":"2026-10-02T11:59:25Z","publication":"Nature","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.","short":"J.P.K. Bravo, D.A. Ramos, R. Fregoso Ocampo, C. Ingram, D.W. Taylor, Nature 630 (2024) 961–967.","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.","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>.","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>.","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>"},"_id":"17442","volume":630,"page":"961-967","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","quality_controlled":"1","pmid":1,"external_id":{"pmid":["38740055"]},"issue":"8018","intvolume":"       630","language":[{"iso":"eng"}],"doi":"10.1038/s41586-024-07515-9"},{"title":"Anti-plasmid immunity: A key to pathogen success?","oa":1,"OA_type":"free access","date_updated":"2026-10-02T12:01:31Z","scopus_import":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1080/17460913.2024.2389720"}],"volume":19,"_id":"17494","page":"1269-1272","publication":"Future Microbiology","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>.","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>","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>","ista":"Bravo JPK. 2024. Anti-plasmid immunity: A key to pathogen success? Future Microbiology. 19(15), 1269–1272.","short":"J.P.K. Bravo, Future Microbiology 19 (2024) 1269–1272.","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.","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>."},"external_id":{"pmid":["39230568"],"isi":["001306115400001"]},"pmid":1,"issue":"15","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","quality_controlled":"1","language":[{"iso":"eng"}],"doi":"10.1080/17460913.2024.2389720","ddc":["570"],"isi":1,"intvolume":"        19","publication_identifier":{"issn":["1746-0913"],"eissn":["1746-0921"]},"oa_version":"Published Version","supplementarymaterial":"no","has_accepted_license":"1","day":"01","das_tickbox":"0","OA_place":"publisher","fulldoi":"https://doi.org/10.1080/17460913.2024.2389720","corr_author":"1","article_type":"letter_note","author":[{"orcid":"0000-0003-0456-0753","first_name":"Jack Peter Kelly","id":"96aecfa5-8931-11ee-af30-aa6a5d6eee0e","full_name":"Bravo, Jack Peter Kelly","last_name":"Bravo"}],"department":[{"_id":"JaBr"}],"researchdata_availability":"no","publisher":"Taylor & Francis","year":"2024","article_processing_charge":"No","month":"10","type":"journal_article","publication_status":"published","date_published":"2024-10-01T00:00:00Z","status":"public"},{"doi":"10.1007/s00208-023-02680-0","language":[{"iso":"eng"}],"intvolume":"       389","isi":1,"ddc":["510"],"pmid":1,"external_id":{"pmid":["38751410"],"arxiv":["2210.14468"],"isi":["001035665500001"]},"quality_controlled":"1","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.","date_created":"2023-07-30T22:01:03Z","page":"1657-1676","volume":389,"_id":"13318","arxiv":1,"citation":{"short":"A. Volberg, H. Zhang, Mathematische Annalen 389 (2024) 1657–1676.","ista":"Volberg A, Zhang H. 2024. Noncommutative Bohnenblust–Hille inequalities. Mathematische Annalen. 389, 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.","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>","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>.","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>"},"file":[{"checksum":"56e67756e4c6c97589a8385e15ea2d2a","creator":"dernst","success":1,"file_size":351796,"file_id":"17299","relation":"main_file","content_type":"application/pdf","file_name":"2024_MathAnnalen_Volberg.pdf","date_updated":"2024-07-22T09:38:15Z","date_created":"2024-07-22T09:38:15Z","access_level":"open_access"}],"publication":"Mathematische Annalen","scopus_import":"1","date_updated":"2026-10-02T12:12:33Z","title":"Noncommutative Bohnenblust–Hille inequalities","oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","type":"journal_article","file_date_updated":"2024-07-22T09:38:15Z","dataavailabilitystatement":"All data generated or analysed during this study are included in this article.","date_published":"2024-06-01T00:00:00Z","status":"public","publication_status":"published","article_processing_charge":"Yes (in subscription journal)","year":"2024","publisher":"Springer Nature","project":[{"grant_number":"M03337","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6","name":"Curvature-dimension in noncommutative analysis"}],"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"}],"month":"06","corr_author":"1","fulldoi":"https://doi.org/10.1007/s00208-023-02680-0","researchdata_availability":"yes","department":[{"_id":"JaMa"}],"author":[{"last_name":"Volberg","full_name":"Volberg, Alexander","first_name":"Alexander"},{"last_name":"Zhang","full_name":"Zhang, Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","orcid":"0000-0001-9537-9663","first_name":"Haonan"}],"article_type":"original","supplementarymaterial":"no","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"publication_identifier":{"issn":["0025-5831"],"eissn":["1432-1807"]},"das_tickbox":"1","has_accepted_license":"1","day":"01"},{"file_date_updated":"2024-07-22T07:05:32Z","type":"journal_article","publication_status":"published","dataavailabilitystatement":"Data sharing not applicable to this article as no datasets were generated or analysed during the current study.","date_published":"2024-07-01T00:00:00Z","status":"public","project":[{"grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics"},{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"abstract":[{"lang":"eng","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."}],"year":"2024","article_processing_charge":"Yes (via OA deal)","publisher":"Springer Nature","month":"07","ec_funded":1,"corr_author":"1","fulldoi":"https://doi.org/10.1007/s00526-024-02755-z","article_type":"original","researchdata_availability":"not applicable","department":[{"_id":"JaMa"}],"author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","first_name":"Morris","full_name":"Brooks, Morris","last_name":"Brooks"},{"id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0845-1338","first_name":"Jan","full_name":"Maas, Jan","last_name":"Maas"}],"publication_identifier":{"eissn":["1432-0835"],"issn":["0944-2669"]},"supplementarymaterial":"no","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"day":"01","has_accepted_license":"1","das_tickbox":"1","language":[{"iso":"eng"}],"doi":"10.1007/s00526-024-02755-z","ddc":["510"],"intvolume":"        63","isi":1,"pmid":1,"external_id":{"pmid":["38947856"],"arxiv":["2209.11149"],"isi":["001258097800003"]},"article_number":"153","issue":"6","date_created":"2024-07-21T22:01:01Z","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.","quality_controlled":"1","volume":63,"_id":"17282","publication":"Calculus of Variations and Partial Differential Equations","citation":{"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.","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>.","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.","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>","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>","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>."},"file":[{"success":1,"checksum":"a0cf0e0ba2157aabb287cb597be17dac","creator":"dernst","access_level":"open_access","date_created":"2024-07-22T07:05:32Z","content_type":"application/pdf","file_name":"2024_CalculusVariations_Brooks.pdf","relation":"main_file","file_id":"17289","file_size":416622,"date_updated":"2024-07-22T07:05:32Z"}],"arxiv":1,"oa":1,"title":"Characterisation of gradient flows for a given functional","scopus_import":"1","date_updated":"2026-10-02T12:14:17Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"month":"06","publisher":"American Mathematical Society","article_processing_charge":"No","year":"2024","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."}],"project":[{"name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"},{"_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","name":"Configuration Spaces over Non-Smooth Spaces","grant_number":"E208"}],"date_published":"2024-06-01T00:00:00Z","status":"public","publication_status":"published","type":"journal_article","das_tickbox":"0","day":"01","oa_version":"Preprint","supplementarymaterial":"yes","publication_identifier":{"eissn":["1088-6850"],"issn":["0002-9947"]},"author":[{"last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","orcid":"0000-0002-9881-6870","first_name":"Lorenzo"},{"full_name":"Maas, Jan","last_name":"Maas","first_name":"Jan","orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Pedrotti","full_name":"Pedrotti, Francesco","first_name":"Francesco","id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c"}],"department":[{"_id":"JaMa"}],"researchdata_availability":"no","related_material":{"record":[{"id":"17336","relation":"dissertation_contains","status":"public"}]},"article_type":"original","fulldoi":"https://doi.org/10.1090/tran/9156","ec_funded":1,"quality_controlled":"1","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","date_created":"2024-06-16T22:01:06Z","issue":"6","external_id":{"isi":["001203273300001"],"arxiv":["2304.05239"]},"isi":1,"intvolume":"       377","doi":"10.1090/tran/9156","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2304.05239"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-02T12:13:16Z","scopus_import":"1","title":"Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces","oa":1,"arxiv":1,"citation":{"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>.","short":"L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.","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.","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>","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>","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>."},"publication":"Transactions of the American Mathematical Society","page":"3779-3804","volume":377,"_id":"17143"},{"day":"01","das_tickbox":"0","publication_identifier":{"issn":["1424-0637"]},"oa_version":"Preprint","supplementarymaterial":"no","article_type":"original","department":[{"_id":"JaMa"}],"author":[{"id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","first_name":"Haonan","orcid":"0000-0001-9537-9663","full_name":"Zhang, Haonan","last_name":"Zhang"}],"researchdata_availability":"no","ec_funded":1,"fulldoi":"https://doi.org/10.1007/s00023-023-01345-7","corr_author":"1","month":"04","abstract":[{"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.","lang":"eng"}],"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"grant_number":"M03337","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6","name":"Curvature-dimension in noncommutative analysis"}],"publisher":"Springer Nature","year":"2024","article_processing_charge":"No","publication_status":"published","date_published":"2024-04-01T00:00:00Z","status":"public","type":"journal_article","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2108.05785","open_access":"1"}],"oa":1,"title":"Some convexity and monotonicity results of trace functionals","date_updated":"2026-10-02T12:11:07Z","scopus_import":"1","publication":"Annales Henri Poincare","arxiv":1,"citation":{"ista":"Zhang H. 2024. Some convexity and monotonicity results of trace functionals. Annales Henri Poincare. 25, 2087–2106.","short":"H. Zhang, Annales Henri Poincare 25 (2024) 2087–2106.","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>.","ieee":"H. Zhang, “Some convexity and monotonicity results of trace functionals,” <i>Annales Henri Poincare</i>, vol. 25. Springer Nature, pp. 2087–2106, 2024.","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>.","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>","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>"},"volume":25,"_id":"13271","page":"2087-2106","date_created":"2023-07-23T22:01:15Z","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.","quality_controlled":"1","external_id":{"isi":["001025709100001"],"arxiv":["2108.05785"]},"isi":1,"intvolume":"        25","language":[{"iso":"eng"}],"doi":"10.1007/s00023-023-01345-7"},{"arxiv":1,"citation":{"ama":"Dello Schiavo L. A characterization of maps of bounded compression. <i>Mathematical Communications</i>. 2024;29(1):137-142.","chicago":"Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” <i>Mathematical Communications</i>. Udruga Matematicara Osijek, 2024.","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.","ista":"Dello Schiavo L. 2024. A characterization of maps of bounded compression. Mathematical Communications. 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."},"publication":"Mathematical Communications","page":"137-142","volume":29,"_id":"15252","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2304.11348","open_access":"1"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","scopus_import":"1","date_updated":"2026-10-02T12:15:11Z","oa":1,"title":"A characterization of maps of bounded compression","intvolume":"        29","language":[{"iso":"eng"}],"quality_controlled":"1","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_created":"2024-03-31T22:01:12Z","issue":"1","external_id":{"arxiv":["2304.11348"]},"researchdata_availability":"no","department":[{"_id":"JaMa"}],"author":[{"first_name":"Lorenzo","orcid":"0000-0002-9881-6870","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo"}],"article_type":"original","corr_author":"1","das_tickbox":"0","day":"01","supplementarymaterial":"no","oa_version":"Preprint","publication_identifier":{"issn":["1331-0623"],"eissn":["1848-8013"]},"status":"public","date_published":"2024-01-01T00:00:00Z","publication_status":"published","type":"journal_article","month":"01","article_processing_charge":"No","year":"2024","publisher":"Udruga Matematicara Osijek","project":[{"grant_number":"E208","name":"Configuration Spaces over Non-Smooth Spaces","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c"}],"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"}]},{"citation":{"short":"L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).","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.","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>.","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>","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>.","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>"},"file":[{"success":1,"creator":"dernst","checksum":"143816823b5f43bd3748da8e3e91cef5","date_created":"2024-11-04T08:54:26Z","access_level":"open_access","date_updated":"2024-11-04T08:54:26Z","file_id":"18497","file_size":911476,"content_type":"application/pdf","relation":"main_file","file_name":"2024_JourLondonMathSoc_Schiavo.pdf"}],"publication":"Journal of the London Mathematical Society","_id":"18490","volume":110,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-02T12:17:50Z","scopus_import":"1","OA_type":"hybrid","title":"Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension","oa":1,"isi":1,"intvolume":"       110","ddc":["510"],"doi":"10.1112/jlms.70003","language":[{"iso":"eng"}],"quality_controlled":"1","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.","date_created":"2024-11-03T23:01:44Z","issue":"5","article_number":"e70003","external_id":{"isi":["001351918100029"]},"author":[{"id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","orcid":"0000-0002-9881-6870","first_name":"Lorenzo","full_name":"Dello Schiavo, Lorenzo","last_name":"Dello Schiavo"},{"first_name":"Ronan","full_name":"Herry, Ronan","last_name":"Herry"},{"full_name":"Kopfer, Eva","last_name":"Kopfer","first_name":"Eva"},{"first_name":"Karl Theodor","last_name":"Sturm","full_name":"Sturm, Karl Theodor"}],"department":[{"_id":"JaMa"}],"researchdata_availability":"not applicable","article_type":"original","fulldoi":"https://doi.org/10.1112/jlms.70003","OA_place":"publisher","ec_funded":1,"das_tickbox":"0","has_accepted_license":"1","day":"01","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"supplementarymaterial":"no","publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"date_published":"2024-11-01T00:00:00Z","status":"public","publication_status":"published","type":"journal_article","file_date_updated":"2024-11-04T08:54:26Z","month":"11","publisher":"London Mathematical Society","year":"2024","article_processing_charge":"Yes (via OA deal)","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"}],"project":[{"call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117"},{"name":"Configuration Spaces over Non-Smooth Spaces","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","grant_number":"E208"},{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}]},{"day":"09","has_accepted_license":"1","das_tickbox":"1","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"supplementarymaterial":"no","article_type":"original","department":[{"_id":"JaMa"}],"author":[{"last_name":"Rouzé","full_name":"Rouzé, Cambyse","first_name":"Cambyse"},{"id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","first_name":"Melchior","orcid":"0000-0002-0519-4241","full_name":"Wirth, Melchior","last_name":"Wirth"},{"orcid":"0000-0001-9537-9663","first_name":"Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","full_name":"Zhang, Haonan","last_name":"Zhang"}],"researchdata_availability":"not applicable","fulldoi":"https://doi.org/10.1007/s00220-024-04981-0","corr_author":"1","month":"04","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"}],"project":[{"grant_number":"M03337","name":"Curvature-dimension in noncommutative analysis","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6"},{"grant_number":"ESP156_N","_id":"34c6ea2d-11ca-11ed-8bc3-c04f3c502833","name":"Gradient flow techniques for quantum Markov semigroups"}],"publisher":"Springer Nature","year":"2024","article_processing_charge":"Yes (via OA deal)","publication_status":"published","date_published":"2024-04-09T00:00:00Z","status":"public","dataavailabilitystatement":"No data was generated as part of this work.","file_date_updated":"2024-05-06T06:18:45Z","type":"journal_article","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"title":"Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions","date_updated":"2026-10-02T12:16:36Z","scopus_import":"1","publication":"Communications in Mathematical Physics","citation":{"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>","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>","short":"C. Rouzé, M. Wirth, H. Zhang, Communications in Mathematical Physics 405 (2024).","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.","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>."},"file":[{"creator":"dernst","checksum":"8ecd168755f0d40ebd7cd0b71063acfc","success":1,"date_updated":"2024-05-06T06:18:45Z","file_name":"2024_CommMathPhysics_Rouze.pdf","relation":"main_file","content_type":"application/pdf","file_id":"15365","file_size":653676,"access_level":"open_access","date_created":"2024-05-06T06:18:45Z"}],"arxiv":1,"volume":405,"_id":"15350","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.","quality_controlled":"1","external_id":{"isi":["001199509500004"],"arxiv":["2209.07279"],"pmid":["38606337"]},"pmid":1,"issue":"4","article_number":"95","ddc":["510"],"isi":1,"intvolume":"       405","language":[{"iso":"eng"}],"doi":"10.1007/s00220-024-04981-0"},{"status":"public","date_published":"2024-01-01T00:00:00Z","publication_status":"published","type":"journal_article","file_date_updated":"2024-10-01T07:31:56Z","month":"01","publisher":"Ecole Polytechnique","year":"2024","article_processing_charge":"Yes","abstract":[{"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":"eng"},{"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."}],"author":[{"first_name":"Lorenzo","orcid":"0000-0002-9881-6870","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo"},{"full_name":"Herry, Ronan","last_name":"Herry","first_name":"Ronan"},{"first_name":"Kohei","last_name":"Suzuki","full_name":"Suzuki, Kohei"}],"department":[{"_id":"JaMa"}],"researchdata_availability":"no","article_type":"original","fulldoi":"https://doi.org/10.5802/jep.270","corr_author":"1","das_tickbox":"0","has_accepted_license":"1","day":"01","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"supplementarymaterial":"no","publication_identifier":{"eissn":["2270-518X"],"issn":["2429-7100"]},"isi":1,"intvolume":"        11","ddc":["510"],"doi":"10.5802/jep.270","language":[{"iso":"eng"}],"quality_controlled":"1","date_created":"2024-09-29T22:01:38Z","external_id":{"arxiv":["2303.00398"],"isi":["001367254000003"]},"arxiv":1,"file":[{"creator":"dernst","checksum":"5a51da5fb5f7fcaada378d43444cced8","success":1,"date_updated":"2024-10-01T07:31:56Z","file_id":"18164","file_size":1250553,"relation":"main_file","file_name":"2024_JourEcolePolytechniqueMath_DelloSchiavo.pdf","content_type":"application/pdf","date_created":"2024-10-01T07:31:56Z","access_level":"open_access"}],"citation":{"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>.","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>","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.","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.","short":"L. Dello Schiavo, R. Herry, K. Suzuki, Journal de l’Ecole Polytechnique - Mathematiques 11 (2024) 957–1010."},"publication":"Journal de l'Ecole Polytechnique - Mathematiques","page":"957-1010","volume":11,"_id":"18158","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-02T12:17:19Z","scopus_import":"1","title":"Wasserstein geometry and Ricci curvature bounds for Poisson spaces","oa":1},{"external_id":{"arxiv":["2012.06796"],"isi":["001151118800001"]},"quality_controlled":"1","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.","doi":"10.1007/s11118-023-10118-0","language":[{"iso":"eng"}],"isi":1,"intvolume":"        61","ddc":["510"],"date_updated":"2026-10-02T12:18:13Z","scopus_import":"1","title":"A discovery tour in random Riemannian geometry","OA_type":"hybrid","oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","page":"501-553","volume":61,"_id":"14934","arxiv":1,"file":[{"creator":"dernst","checksum":"33c688bdf296c3d8f8bbd96c7dd26037","success":1,"date_updated":"2025-01-09T08:13:34Z","content_type":"application/pdf","relation":"main_file","file_name":"2024_PotentialAnalysis_DelloSchiavo.pdf","file_size":1294993,"file_id":"18789","access_level":"open_access","date_created":"2025-01-09T08:13:34Z"}],"citation":{"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>","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>","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>.","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.","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>.","short":"L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis 61 (2024) 501–553.","ista":"Dello Schiavo L, Kopfer E, Sturm KT. 2024. A discovery tour in random Riemannian geometry. Potential Analysis. 61, 501–553."},"publication":"Potential Analysis","publisher":"Springer Nature","article_processing_charge":"Yes (via OA deal)","year":"2024","abstract":[{"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.","lang":"eng"}],"project":[{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"month":"10","type":"journal_article","file_date_updated":"2025-01-09T08:13:34Z","date_published":"2024-10-01T00:00:00Z","status":"public","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa_version":"Published Version","supplementarymaterial":"no","publication_identifier":{"issn":["0926-2601"],"eissn":["1572-929X"]},"das_tickbox":"0","day":"01","has_accepted_license":"1","fulldoi":"https://doi.org/10.1007/s11118-023-10118-0","OA_place":"publisher","department":[{"_id":"JaMa"}],"author":[{"id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo","orcid":"0000-0002-9881-6870","last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo"},{"full_name":"Kopfer, Eva","last_name":"Kopfer","first_name":"Eva"},{"full_name":"Sturm, Karl Theodor","last_name":"Sturm","first_name":"Karl Theodor"}],"researchdata_availability":"no","article_type":"original"},{"month":"04","year":"2024","article_processing_charge":"No","publisher":"Institute of Mathematical Statistics","project":[{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"},{"grant_number":"716117","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425"},{"_id":"3490b268-11ca-11ed-8bc3-e0ad03f48839","name":"Reaching consensus in heterogeneous random opinion dynamics","grant_number":"M03211"},{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"grant_number":"E208","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","name":"Configuration Spaces over Non-Smooth Spaces"},{"_id":"260788DE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Dissipation and dispersion in nonlinear partial differential equations","grant_number":"W1245"}],"abstract":[{"lang":"eng","text":"We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a bounded Lipschitz domain Ω, with both fast and slow boundary. For the random walks on Ω dual to SEP/SIP we establish: a functional-CLT-type convergence to the Brownian motion on Ω with either Neumann (slow boundary), Dirichlet (fast boundary), or Robin (at criticality) boundary conditions; the discrete-to-continuum convergence of the corresponding harmonic profiles. As a consequence, we rigorously derive the hydrodynamic and hydrostatic limits for SEP/SIP on Ω, and analyze their stationary nonequilibrium fluctuations. All scaling limit results for SEP/SIP concern finite-dimensional distribution convergence only, as our duality techniques do not require to establish tightness for the fields associated to the particle systems."}],"status":"public","date_published":"2024-04-01T00:00:00Z","publication_status":"published","type":"journal_article","das_tickbox":"0","day":"01","supplementarymaterial":"no","oa_version":"Preprint","publication_identifier":{"issn":["1050-5164"]},"researchdata_availability":"no","author":[{"last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo","orcid":"0000-0002-9881-6870"},{"id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","first_name":"Lorenzo","full_name":"Portinale, Lorenzo","last_name":"Portinale"},{"last_name":"Sau","full_name":"Sau, Federico","first_name":"Federico","id":"E1836206-9F16-11E9-8814-AEFDE5697425"}],"department":[{"_id":"JaMa"}],"article_type":"original","corr_author":"1","fulldoi":"https://doi.org/10.1214/23-AAP2007","ec_funded":1,"quality_controlled":"1","date_created":"2024-04-14T22:01:02Z","acknowledgement":"The first author gratefully acknowledges funding by the Austrian Science Fund (FWF) grant F65, by the European Research Council (ERC, grant agreement No 716117, awarded to Prof. Dr. Jan Maas). He also gratefully acknowledges funding of his current position by the Austrian Science Fund (FWF) grant ESPRIT 208.\r\nThe second author gratefully acknowledges funding by the Hausdorff Center for Mathematics at the University of Bonn. Part of this work was completed while this author was a member of the Institute of Science and Technology Austria. He gratefully acknowledges funding of his position at that time by the Austrian Science Fund (FWF) grants F65 and W1245.\r\nThe third author gratefully acknowledges funding by the Lise Meitner fellowship, Austrian Science Fund (FWF): M3211. Part of this work was completed while funded by the European Union’s Horizon 2020 research and innovation programme under the Marie-Skłodowska-Curie grant agreement No. 754411.","issue":"2","external_id":{"arxiv":["2112.14196"],"isi":["001198623200016"]},"intvolume":"        34","isi":1,"doi":"10.1214/23-AAP2007","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2112.14196","open_access":"1"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","scopus_import":"1","date_updated":"2026-10-02T12:15:34Z","title":"Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains","oa":1,"citation":{"apa":"Dello Schiavo, L., Portinale, L., &#38; Sau, F. (2024). Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains. <i>Annals of Applied Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/23-AAP2007\">https://doi.org/10.1214/23-AAP2007</a>","ama":"Dello Schiavo L, Portinale L, Sau F. Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains. <i>Annals of Applied Probability</i>. 2024;34(2):1789-1845. doi:<a href=\"https://doi.org/10.1214/23-AAP2007\">10.1214/23-AAP2007</a>","chicago":"Dello Schiavo, Lorenzo, Lorenzo Portinale, and Federico Sau. “Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Nonequilibrium States in Lipschitz Domains.” <i>Annals of Applied Probability</i>. Institute of Mathematical Statistics, 2024. <a href=\"https://doi.org/10.1214/23-AAP2007\">https://doi.org/10.1214/23-AAP2007</a>.","mla":"Dello Schiavo, Lorenzo, et al. “Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Nonequilibrium States in Lipschitz Domains.” <i>Annals of Applied Probability</i>, vol. 34, no. 2, Institute of Mathematical Statistics, 2024, pp. 1789–845, doi:<a href=\"https://doi.org/10.1214/23-AAP2007\">10.1214/23-AAP2007</a>.","ieee":"L. Dello Schiavo, L. Portinale, and F. Sau, “Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains,” <i>Annals of Applied Probability</i>, vol. 34, no. 2. Institute of Mathematical Statistics, pp. 1789–1845, 2024.","short":"L. Dello Schiavo, L. Portinale, F. Sau, Annals of Applied Probability 34 (2024) 1789–1845.","ista":"Dello Schiavo L, Portinale L, Sau F. 2024. Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains. Annals of Applied Probability. 34(2), 1789–1845."},"arxiv":1,"publication":"Annals of Applied Probability","page":"1789-1845","volume":34,"_id":"15317"},{"OA_type":"hybrid","title":"Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups","oa":1,"date_updated":"2026-10-02T12:19:05Z","scopus_import":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":287,"_id":"15373","publication":"Journal of Functional Analysis","file":[{"creator":"dernst","checksum":"657c9f77dd30bb31ce43a591f58126a2","success":1,"date_updated":"2025-01-09T09:33:56Z","content_type":"application/pdf","relation":"main_file","file_name":"2024_JourFunctAnalysis_Wirth.pdf","file_size":503148,"file_id":"18802","access_level":"open_access","date_created":"2025-01-09T09:33:56Z"}],"citation":{"ista":"Wirth M. 2024. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 287(3), 110475.","short":"M. Wirth, Journal of Functional Analysis 287 (2024).","ieee":"M. Wirth, “Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups,” <i>Journal of Functional Analysis</i>, vol. 287, no. 3. Elsevier, 2024.","mla":"Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” <i>Journal of Functional Analysis</i>, vol. 287, no. 3, 110475, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110475\">10.1016/j.jfa.2024.110475</a>.","chicago":"Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” <i>Journal of Functional Analysis</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.jfa.2024.110475\">https://doi.org/10.1016/j.jfa.2024.110475</a>.","ama":"Wirth M. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. <i>Journal of Functional Analysis</i>. 2024;287(3). doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110475\">10.1016/j.jfa.2024.110475</a>","apa":"Wirth, M. (2024). Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2024.110475\">https://doi.org/10.1016/j.jfa.2024.110475</a>"},"external_id":{"isi":["001237916800001"]},"issue":"3","article_number":"110475","date_created":"2024-05-12T22:01:01Z","quality_controlled":"1","language":[{"iso":"eng"}],"doi":"10.1016/j.jfa.2024.110475","ddc":["510"],"isi":1,"intvolume":"       287","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"supplementarymaterial":"no","day":"01","has_accepted_license":"1","das_tickbox":"1","OA_place":"publisher","fulldoi":"https://doi.org/10.1016/j.jfa.2024.110475","corr_author":"1","article_type":"original","department":[{"_id":"JaMa"}],"author":[{"full_name":"Wirth, Melchior","last_name":"Wirth","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","orcid":"0000-0002-0519-4241","first_name":"Melchior"}],"researchdata_availability":"not applicable","abstract":[{"lang":"eng","text":"In this article we prove a refined version of the Christensen–Evans theorem for generators of uniformly continuous GNS-symmetric quantum Markov semigroups. We use this result to show the existence of GNS-symmetric extensions of GNS-symmetric quantum Markov semigroups. In particular, this implies that the generators of GNS-symmetric quantum Markov semigroups on finite-dimensional von Neumann algebra can be written in the form specified by Alicki's theorem."}],"publisher":"Elsevier","article_processing_charge":"Yes (via OA deal)","year":"2024","month":"08","file_date_updated":"2025-01-09T09:33:56Z","type":"journal_article","publication_status":"published","status":"public","date_published":"2024-08-01T00:00:00Z","dataavailabilitystatement":"No data was used for the research described in the article."},{"oa_version":"Preprint","supplementarymaterial":"no","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"das_tickbox":"1","day":"15","fulldoi":"https://doi.org/10.1016/j.jfa.2024.110562","corr_author":"1","OA_place":"repository","author":[{"full_name":"Brigati, Giovanni","last_name":"Brigati","first_name":"Giovanni","id":"63ff57e8-1fbb-11ee-88f2-f558ffc59cf1"},{"last_name":"Dolbeault","full_name":"Dolbeault, Jean","first_name":"Jean"},{"last_name":"Simonov","full_name":"Simonov, Nikita","first_name":"Nikita"}],"department":[{"_id":"JaMa"}],"researchdata_availability":"not applicable","article_type":"original","publisher":"Elsevier","year":"2024","article_processing_charge":"No","abstract":[{"lang":"eng","text":"This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.\r\n\r\n"}],"month":"10","type":"journal_article","date_published":"2024-10-15T00:00:00Z","status":"public","dataavailabilitystatement":"No data was used for the research described in the article.","publication_status":"published","date_updated":"2026-10-02T12:19:42Z","scopus_import":"1","OA_type":"green","title":"Stability for the logarithmic Sobolev inequality","oa":1,"main_file_link":[{"open_access":"1","url":"10.48550/arXiv.2303.12926"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":287,"_id":"17277","arxiv":1,"citation":{"ieee":"G. Brigati, J. Dolbeault, and N. Simonov, “Stability for the logarithmic Sobolev inequality,” <i>Journal of Functional Analysis</i>, vol. 287, no. 8. Elsevier, 2024.","mla":"Brigati, Giovanni, et al. “Stability for the Logarithmic Sobolev Inequality.” <i>Journal of Functional Analysis</i>, vol. 287, no. 8, 110562, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">10.1016/j.jfa.2024.110562</a>.","short":"G. Brigati, J. Dolbeault, N. Simonov, Journal of Functional Analysis 287 (2024).","ista":"Brigati G, Dolbeault J, Simonov N. 2024. Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. 287(8), 110562.","apa":"Brigati, G., Dolbeault, J., &#38; Simonov, N. (2024). Stability for the logarithmic Sobolev inequality. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">https://doi.org/10.1016/j.jfa.2024.110562</a>","ama":"Brigati G, Dolbeault J, Simonov N. Stability for the logarithmic Sobolev inequality. <i>Journal of Functional Analysis</i>. 2024;287(8). doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">10.1016/j.jfa.2024.110562</a>","chicago":"Brigati, Giovanni, Jean Dolbeault, and Nikita Simonov. “Stability for the Logarithmic Sobolev Inequality.” <i>Journal of Functional Analysis</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">https://doi.org/10.1016/j.jfa.2024.110562</a>."},"publication":"Journal of Functional Analysis","issue":"8","article_number":"110562","external_id":{"isi":["001271814000001"],"arxiv":["2303.12926"]},"quality_controlled":"1","acknowledgement":"The authors thank Max Fathi and Pierre Cardaliaguet for fruitful discussions and Emanuel Indrei for stimulating interactions. They also thank an anonymous referee for useful comments and suggestions which have led to an improvement of the manuscript. They also want to express their gratitude to the managing editor, L. Gross, for his encouragements and questions. G.B. has been funded by the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No 754362. This work has been (partially) supported by the Project Conviviality ANR-23-CE40-0003 of the French National Research Agency.","date_created":"2024-07-21T22:01:00Z","doi":"10.1016/j.jfa.2024.110562","language":[{"iso":"eng"}],"isi":1,"intvolume":"       287"},{"date_updated":"2026-10-02T12:21:50Z","scopus_import":"1","oa":1,"title":"Modular completely Dirichlet forms as squares of derivations","OA_type":"hybrid","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","page":"10597-10614","volume":2024,"_id":"18900","citation":{"apa":"Wirth, M. (2024). Modular completely Dirichlet forms as squares of derivations. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnae092\">https://doi.org/10.1093/imrn/rnae092</a>","chicago":"Wirth, Melchior. “Modular Completely Dirichlet Forms as Squares of Derivations.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2024. <a href=\"https://doi.org/10.1093/imrn/rnae092\">https://doi.org/10.1093/imrn/rnae092</a>.","ama":"Wirth M. Modular completely Dirichlet forms as squares of derivations. <i>International Mathematics Research Notices</i>. 2024;2024(14):10597-10614. doi:<a href=\"https://doi.org/10.1093/imrn/rnae092\">10.1093/imrn/rnae092</a>","mla":"Wirth, Melchior. “Modular Completely Dirichlet Forms as Squares of Derivations.” <i>International Mathematics Research Notices</i>, vol. 2024, no. 14, Oxford University Press, 2024, pp. 10597–614, doi:<a href=\"https://doi.org/10.1093/imrn/rnae092\">10.1093/imrn/rnae092</a>.","ieee":"M. Wirth, “Modular completely Dirichlet forms as squares of derivations,” <i>International Mathematics Research Notices</i>, vol. 2024, no. 14. Oxford University Press, pp. 10597–10614, 2024.","ista":"Wirth M. 2024. Modular completely Dirichlet forms as squares of derivations. International Mathematics Research Notices. 2024(14), 10597–10614.","short":"M. Wirth, International Mathematics Research Notices 2024 (2024) 10597–10614."},"file":[{"checksum":"3e1f80d58ada0c60a58f35df8080967e","creator":"dernst","success":1,"file_name":"2024_IMRN_Wirth.pdf","content_type":"application/pdf","relation":"main_file","file_size":689984,"file_id":"18901","date_updated":"2025-01-27T12:38:10Z","access_level":"open_access","date_created":"2025-01-27T12:38:10Z"}],"publication":"International Mathematics Research Notices","issue":"14","external_id":{"isi":["001222279400001"]},"quality_controlled":"1","acknowledgement":"The author was funded by the Austrian Science Fund 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 version arising from this submission. ","date_created":"2025-01-27T12:36:10Z","doi":"10.1093/imrn/rnae092","language":[{"iso":"eng"}],"isi":1,"intvolume":"      2024","ddc":["510"],"oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"supplementarymaterial":"no","publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"das_tickbox":"0","day":"01","has_accepted_license":"1","fulldoi":"https://doi.org/10.1093/imrn/rnae092","corr_author":"1","OA_place":"publisher","department":[{"_id":"JaMa"}],"author":[{"last_name":"Wirth","full_name":"Wirth, Melchior","orcid":"0000-0002-0519-4241","first_name":"Melchior","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E"}],"researchdata_availability":"no","article_type":"original","publisher":"Oxford University Press","article_processing_charge":"Yes (via OA deal)","year":"2024","abstract":[{"text":"We prove that certain closable derivations on the GNS Hilbert space associated with a non-tracial weight on a von Neumann algebra give rise to GNS-symmetric semigroups of contractive completely positive maps on the von Neumann algebra.","lang":"eng"}],"project":[{"grant_number":"ESP156_N","name":"Gradient flow techniques for quantum Markov semigroups","_id":"34c6ea2d-11ca-11ed-8bc3-c04f3c502833"}],"month":"07","type":"journal_article","file_date_updated":"2025-01-27T12:38:10Z","status":"public","date_published":"2024-07-01T00:00:00Z","publication_status":"published"}]