[{"external_id":{"arxiv":["2601.03337"]},"PlanS_conform":"1","article_processing_charge":"Yes","citation":{"ama":"Perley DA, Ho AYQ, McGrath Z, et al. AT 2024wpp: An extremely luminous fast ultraviolet transient powered by accretion onto a black hole. Monthly Notices of the Royal Astronomical Society. 2026;549(1). doi:10.1093/mnras/stag678","ista":"Perley DA, Ho AYQ, McGrath Z, Camilo M, Sevilla C, Chen P, Schroeder G, Govreen-Segal T, Bochenek A, Qin Y-J, Gillanders JH, Amend B, Anderson JP, Andreoni I, Aryan A, Bellm EC, Bloom JS, de Boer T, Carney J, Caiazzo I, Chambers KC, Charalampopoulos P, Chen T-W, Chen TX, Coughlin ER, Coughlin M, Dennefeld M, Dimitriadis G, Fremling C, Frostig D, Gal-Yam A, Galbany L, Gangopadhyay A, Ghendrih M, Graham MJ, Gromadzki M, Groom SL, Gutiérrez CP, Hinds K-R, Huber ME, Inserra C, Kaiser BC, Kasliwal MM, Koivisto NE, Lin C-C, Liu C, Lowe TB, Magnier E, Mahabal AA, Milligan A, Minguez P, Mo G, Müller-Bravo TE, Nicholl M, Pessi PJ, Pignata G, Purdum J, Rehemtulla N, Rich RM, Sahu A, Singh A, Smartt SJ, Smith IA, Sollerman J, Srinivasaragavan G, Srivastav S, Stein RD, Schulze S, Tweddle JW, Wainscoat R, Wise JL, Yan L, Young DR. 2026. AT 2024wpp: An extremely luminous fast ultraviolet transient powered by accretion onto a black hole. Monthly Notices of the Royal Astronomical Society. 549(1), stag678.","apa":"Perley, D. A., Ho, A. Y. Q., McGrath, Z., Camilo, M., Sevilla, C., Chen, P., … Young, D. R. (2026). AT 2024wpp: An extremely luminous fast ultraviolet transient powered by accretion onto a black hole. Monthly Notices of the Royal Astronomical Society. Oxford University Press. https://doi.org/10.1093/mnras/stag678","ieee":"D. A. Perley et al., “AT 2024wpp: An extremely luminous fast ultraviolet transient powered by accretion onto a black hole,” Monthly Notices of the Royal Astronomical Society, vol. 549, no. 1. Oxford University Press, 2026.","mla":"Perley, Daniel A., et al. “AT 2024wpp: An Extremely Luminous Fast Ultraviolet Transient Powered by Accretion onto a Black Hole.” Monthly Notices of the Royal Astronomical Society, vol. 549, no. 1, stag678, Oxford University Press, 2026, doi:10.1093/mnras/stag678.","chicago":"Perley, Daniel A, Anna Y Q Ho, Zoë McGrath, Michael Camilo, Cassie Sevilla, Ping Chen, Genevieve Schroeder, et al. “AT 2024wpp: An Extremely Luminous Fast Ultraviolet Transient Powered by Accretion onto a Black Hole.” Monthly Notices of the Royal Astronomical Society. Oxford University Press, 2026. https://doi.org/10.1093/mnras/stag678.","short":"D.A. Perley, A.Y.Q. Ho, Z. McGrath, M. Camilo, C. Sevilla, P. Chen, G. Schroeder, T. Govreen-Segal, A. Bochenek, Y.-J. Qin, J.H. Gillanders, B. Amend, J.P. Anderson, I. Andreoni, A. Aryan, E.C. Bellm, J.S. Bloom, T. de Boer, J. Carney, I. Caiazzo, K.C. Chambers, P. Charalampopoulos, T.-W. Chen, T.X. Chen, E.R. Coughlin, M. Coughlin, M. Dennefeld, G. Dimitriadis, C. Fremling, D. Frostig, A. Gal-Yam, L. Galbany, A. Gangopadhyay, M. Ghendrih, M.J. Graham, M. Gromadzki, S.L. Groom, C.P. Gutiérrez, K.-R. Hinds, M.E. Huber, C. Inserra, B.C. Kaiser, M.M. Kasliwal, N.E. Koivisto, C.-C. Lin, C. Liu, T.B. Lowe, E. Magnier, A.A. Mahabal, A. Milligan, P. Minguez, G. Mo, T.E. Müller-Bravo, M. Nicholl, P.J. Pessi, G. Pignata, J. Purdum, N. Rehemtulla, R.M. Rich, A. Sahu, A. Singh, S.J. Smartt, I.A. Smith, J. Sollerman, G. Srinivasaragavan, S. Srivastav, R.D. Stein, S. Schulze, J.W. Tweddle, R. Wainscoat, J.L. Wise, L. Yan, D.R. Young, Monthly Notices of the Royal Astronomical Society 549 (2026)."},"article_number":"stag678","publication":"Monthly Notices of the Royal Astronomical Society","year":"2026","keyword":["stars: black holes","supernovae: individual: AT2024wpp","radio continuum: transients"],"OA_type":"gold","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","_id":"22303","researchdata_availability":"upon request","doi":"10.1093/mnras/stag678","quality_controlled":"1","oa_version":"Published Version","fulldoi":"https://doi.org/10.1093/mnras/stag678","date_published":"2026-06-01T00:00:00Z","intvolume":" 549","abstract":[{"lang":"eng","text":"We present the discovery of AT 2024wpp (‘Whippet’), a fast and luminous 18cow-like transient. At a redshift of z = 0 . 0868 , revealed by Keck Cosmic Web Imager spectroscopy of its faint star-forming host, it is the fourth-nearest example of its class to date. Rapid identification of the source in the Zwicky Transient Facility data stream permitted ultraviolet-through- optical observations to be obtained prior to peak, allowing the first determination of the peak bolometric luminosity ( 2 ×1045 erg s−1 ), maximum photospheric radius ( 1015 cm), and total radiated energy ( 1051 erg) of an 18cow-like object. We present results from a comprehensive multiwavelength observing campaign, including a far-ultraviolet spectrum from the Cosmic Origins Spectrograph on the Hubble Space Telescope and deep imaging extending > 100 d post-explosion from the Very Large Telescope, Hubble Space Telescope , Very Large Array, and Atacama Large Millimetre Array. We interpret the observations under a model in which a rapidly accreting central engine blows a fast ( ∼0.2 c ) wind into the surrounding medium and irradiates it with X-rays. The high Doppler velocities and intense ionization within this wind prevent identifiable spectroscopic features from appearing in the ejecta or in the surrounding circumstellar material. Weak H and He signatures do emerge in the spectra after 35 d in the form of double-peaked narrow lines. Each peak is individually narrow (full width δv ∼3000 km s−1 ) but the two components are separated by \u0003v ∼6600 km s−1 , indicating stable structures of denser material, possibly representing streams of tidal ejecta or an ablated companion star."}],"author":[{"full_name":"Perley, Daniel A","last_name":"Perley","first_name":"Daniel A"},{"last_name":"Ho","full_name":"Ho, Anna Y Q","first_name":"Anna Y Q"},{"last_name":"McGrath","full_name":"McGrath, Zoë","first_name":"Zoë"},{"first_name":"Michael","last_name":"Camilo","full_name":"Camilo, Michael"},{"first_name":"Cassie","full_name":"Sevilla, Cassie","last_name":"Sevilla"},{"first_name":"Ping","full_name":"Chen, Ping","last_name":"Chen"},{"first_name":"Genevieve","full_name":"Schroeder, Genevieve","last_name":"Schroeder"},{"full_name":"Govreen-Segal, Taya","last_name":"Govreen-Segal","first_name":"Taya"},{"first_name":"Aleksandra","full_name":"Bochenek, Aleksandra","last_name":"Bochenek"},{"first_name":"Yu-Jing","full_name":"Qin, Yu-Jing","last_name":"Qin"},{"full_name":"Gillanders, James H","last_name":"Gillanders","first_name":"James H"},{"last_name":"Amend","full_name":"Amend, Benjamin","first_name":"Benjamin"},{"first_name":"Joseph P","full_name":"Anderson, Joseph P","last_name":"Anderson"},{"first_name":"Igor","full_name":"Andreoni, Igor","last_name":"Andreoni"},{"first_name":"Amar","last_name":"Aryan","full_name":"Aryan, Amar"},{"first_name":"Eric C","full_name":"Bellm, Eric C","last_name":"Bellm"},{"last_name":"Bloom","full_name":"Bloom, Joshua S","first_name":"Joshua S"},{"first_name":"Thomas","full_name":"de Boer, Thomas","last_name":"de Boer"},{"first_name":"Jonathan","full_name":"Carney, Jonathan","last_name":"Carney"},{"first_name":"Ilaria","orcid":"0000-0002-4770-5388","last_name":"Caiazzo","full_name":"Caiazzo, Ilaria","id":"8ae5b6e7-2a03-11ee-914d-b58ed7a3b47d"},{"last_name":"Chambers","full_name":"Chambers, Ken C","first_name":"Ken C"},{"last_name":"Charalampopoulos","full_name":"Charalampopoulos, Panos","first_name":"Panos"},{"full_name":"Chen, Ting-Wan","last_name":"Chen","first_name":"Ting-Wan"},{"first_name":"Tracy X","last_name":"Chen","full_name":"Chen, Tracy X"},{"first_name":"Eric R","full_name":"Coughlin, Eric R","last_name":"Coughlin"},{"full_name":"Coughlin, Michael","last_name":"Coughlin","first_name":"Michael"},{"first_name":"Michel","full_name":"Dennefeld, Michel","last_name":"Dennefeld"},{"first_name":"Georgios","full_name":"Dimitriadis, Georgios","last_name":"Dimitriadis"},{"full_name":"Fremling, Christoffer","last_name":"Fremling","first_name":"Christoffer"},{"last_name":"Frostig","full_name":"Frostig, Danielle","first_name":"Danielle"},{"full_name":"Gal-Yam, Avishay","last_name":"Gal-Yam","first_name":"Avishay"},{"first_name":"Lluís","last_name":"Galbany","full_name":"Galbany, Lluís"},{"first_name":"Anjashay","last_name":"Gangopadhyay","full_name":"Gangopadhyay, Anjashay"},{"first_name":"Melzie","last_name":"Ghendrih","full_name":"Ghendrih, Melzie"},{"full_name":"Graham, Matthew J","last_name":"Graham","first_name":"Matthew J"},{"full_name":"Gromadzki, Mariusz","last_name":"Gromadzki","first_name":"Mariusz"},{"first_name":"Steven L","last_name":"Groom","full_name":"Groom, Steven L"},{"first_name":"Claudia P","last_name":"Gutiérrez","full_name":"Gutiérrez, Claudia P"},{"first_name":"K -Ryan","full_name":"Hinds, K -Ryan","last_name":"Hinds"},{"full_name":"Huber, Mark E","last_name":"Huber","first_name":"Mark E"},{"full_name":"Inserra, Cosimo","last_name":"Inserra","first_name":"Cosimo"},{"first_name":"Benjamin C","last_name":"Kaiser","full_name":"Kaiser, Benjamin C"},{"first_name":"Mansi M","last_name":"Kasliwal","full_name":"Kasliwal, Mansi M"},{"full_name":"Koivisto, Niilo E","last_name":"Koivisto","first_name":"Niilo E"},{"last_name":"Lin","full_name":"Lin, Chien-Cheng","first_name":"Chien-Cheng"},{"full_name":"Liu, Chang","last_name":"Liu","first_name":"Chang"},{"full_name":"Lowe, Thomas B","last_name":"Lowe","first_name":"Thomas B"},{"first_name":"Eugene","last_name":"Magnier","full_name":"Magnier, Eugene"},{"first_name":"Ashish A","last_name":"Mahabal","full_name":"Mahabal, Ashish A"},{"last_name":"Milligan","full_name":"Milligan, Andrew","first_name":"Andrew"},{"first_name":"Paloma","last_name":"Minguez","full_name":"Minguez, Paloma"},{"first_name":"Geoffrey","last_name":"Mo","full_name":"Mo, Geoffrey"},{"first_name":"Tomás E","last_name":"Müller-Bravo","full_name":"Müller-Bravo, Tomás E"},{"first_name":"Matt","full_name":"Nicholl, Matt","last_name":"Nicholl"},{"first_name":"Priscila J","full_name":"Pessi, Priscila J","last_name":"Pessi"},{"last_name":"Pignata","full_name":"Pignata, Giuliano","first_name":"Giuliano"},{"first_name":"Josiah","last_name":"Purdum","full_name":"Purdum, Josiah"},{"first_name":"Nabeel","last_name":"Rehemtulla","full_name":"Rehemtulla, Nabeel"},{"first_name":"R Michael","last_name":"Rich","full_name":"Rich, R Michael"},{"first_name":"Anwesha","full_name":"Sahu, Anwesha","last_name":"Sahu"},{"full_name":"Singh, Avinash","last_name":"Singh","first_name":"Avinash"},{"last_name":"Smartt","full_name":"Smartt, Stephen J","first_name":"Stephen J"},{"full_name":"Smith, Ian A","last_name":"Smith","first_name":"Ian A"},{"last_name":"Sollerman","full_name":"Sollerman, Jesper","first_name":"Jesper"},{"last_name":"Srinivasaragavan","full_name":"Srinivasaragavan, Gokul","first_name":"Gokul"},{"full_name":"Srivastav, Shubham","last_name":"Srivastav","first_name":"Shubham"},{"first_name":"Robert D","last_name":"Stein","full_name":"Stein, Robert D"},{"last_name":"Schulze","full_name":"Schulze, Steve","first_name":"Steve"},{"first_name":"Jack W","last_name":"Tweddle","full_name":"Tweddle, Jack W"},{"first_name":"Richard","full_name":"Wainscoat, Richard","last_name":"Wainscoat"},{"full_name":"Wise, Jacob L","last_name":"Wise","first_name":"Jacob L"},{"first_name":"Lin","full_name":"Yan, Lin","last_name":"Yan"},{"last_name":"Young","full_name":"Young, David R","first_name":"David R"}],"issue":"1","publication_status":"published","oa":1,"day":"01","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2026-07-13T14:36:24Z","das_tickbox":"1","title":"AT 2024wpp: An extremely luminous fast ultraviolet transient powered by accretion onto a black hole","DOAJ_listed":"1","has_accepted_license":"1","file_date_updated":"2026-07-13T14:35:34Z","scopus_import":"1","OA_place":"publisher","publication_identifier":{"issn":["0035-8711"],"eissn":["1365-2966"]},"publisher":"Oxford University Press","article_type":"original","volume":549,"acknowledgement":"We thank Eliot Quataert, Luc Dessart, Ben Margalit, Ross Ferguson, Aaron Tohuvavohu, Brad Cenko, and Jamie Kennea for useful discussions. We thank the referee for helpful suggestions that improved the manuscript.\r\n\r\nBased on observations obtained with the Samuel Oschin Telescope 48-in. and the 60-in. Telescope at the Palomar Observatory as part of the Zwicky Transient Facility project. ZTF is supported by the National Science Foundation under grant no. AST-2034437 and a collaboration including Caltech, IPAC, the Oskar Klein Center at Stockholm University, the University of Maryland, University of California, Berkeley, the University of Wisconsin at Milwaukee, University of Warwick, Ruhr University Bochum, Cornell University, Northwestern University and Drexel University. Operations are conducted by COO, IPAC, and UW.\r\n\r\nThe Liverpool Telescope is operated on the island of La Palma by Liverpool John Moores University in the Spanish Observatorio del Roque de los Muchachos of the Instituto de Astrofisica de Canarias with financial support from the UK Science and Technology Facilities Council.\r\n\r\nBased on observations made with the Nordic Optical Telescope, owned in collaboration by the University of Turku and Aarhus University, and operated jointly by Aarhus University, the University of Turku and the University of Oslo, representing Denmark, Finland and Norway, the University of Iceland and Stockholm University at the Observatorio del Roque de los Muchachos, La Palma, Spain, of the Instituto de Astrofisica de Canarias. The NOT data were obtained under program ID 68–501.\r\n\r\nThis work made use of data supplied by the UK Swift Science Data Centre at the University of Leicester. We are grateful to Phil Evans, Aaron Tohuvavohu, and Jamie Kennea for advice on the Swift/XRT data reduction.\r\n\r\nSome of the data presented herein were obtained at the W. M. Keck Observatory, which is operated as a scientific partnership among the California Institute of Technology, the University of California, and NASA. The Observatory was made possible by the generous financial support of the W. M. Keck Foundation. The authors wish to recognize and acknowledge the very significant cultural role and reverence that the summit of Maunakea has always had within the indigenous Hawaiian community. We are most fortunate to have the opportunity to conduct observations from this mountain.\r\n\r\nSome observations reported here were obtained at the MMT Observatory, a joint facility of the University of Arizona and the Smithsonian Institution.\r\n\r\nThe National Radio Astronomy Observatory and Green Bank Observatory are facilities of the U.S. National Science Foundation operated under cooperative agreement by Associated Universities, Inc. This paper makes use of the following ALMA data: ADS/JAO.ALMA no. 2023.1.01730.T ALMA is a partnership of ESO (representing its member states), NSF (USA) and NINS (Japan), together with NRC (Canada), NSTC and ASIAA (Taiwan), and KASI (Republic of Korea), in cooperation with the Republic of Chile. The Joint ALMA Observatory is operated by ESO, AUI/NRAO, and NAOJ.\r\n\r\nBased on observations collected at the European Organisation for Astronomical Research in the Southern Hemisphere under ESO programme 2114.D-5014(E). We thank John Pritchard and Paula Sanchez Saez, and the entire observatory staff, for their excellent support.\r\n\r\nBased on observations collected at the European Organisation for Astronomical Research in the Southern Hemisphere, Chile, as part of ePESSTO+ (the advanced Public ESO Spectroscopic Survey for Transient Objects Survey – PI: Inserra). ePESSTO+ observations were obtained under ESO program ID 112.25JQ.\r\n\r\nThis research is based on observations made with the NASA/ESA Hubble Space Telescope obtained from the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS 5–26555. These observations are associated with programs 16714, 17477, and 17889.\r\n\r\nBased on observations obtained at the Southern Astrophysical Research (SOAR) telescope, which is a joint project of the Ministério da Ciência, Tecnologia e Inovações (MCTI/LNA) do Brasil, the US National Science Foundation’s NOIRLab, the University of North Carolina at Chapel Hill (UNC), and Michigan State University (MSU).\r\n\r\nThe Pan-STARRS1 Surveys (PS1) and the PS1 public science archive have been made possible through contributions by the Institute for Astronomy, the University of Hawaii, the Pan-STARRS Project Office, the Max-Planck Society and its participating institutes, the Max Planck Institute for Astronomy, Heidelberg and the Max Planck Institute for Extraterrestrial Physics, Garching, The Johns Hopkins University, Durham University, the University of Edinburgh, the Queen’s University Belfast, the Harvard-Smithsonian Center for Astrophysics, the Las Cumbres Observatory Global Telescope Network Incorporated, the National Central University of Taiwan, the Space Telescope Science Institute, the National Aeronautics and Space Administration under grant no. NNX08AR22G issued through the Planetary Science Division of the NASA Science Mission Directorate, the National Science Foundation grant no. AST–1238877, the University of Maryland, Eotvos Lorand University (ELTE), the Los Alamos National Laboratory, and the Gordon and Betty Moore Foundation.\r\n\r\nThis research made use of ccdproc, an astropy package for image reduction (M. Craig et al. 2025).\r\n\r\nGS and AYQH acknowledge support in part from a Sloan Research Fellowship (award no. FG-2024-21320) from the Alfred P. Sloan Foundation. CS and AYQH acknowledge support in part from National Aeronautics and Space Administration (NASA) grant 80NSSC24K0377, from HST grant HST-GO-17477.006-A, and from a Scialog award from the Research Corporation for Science Advancement (‘Early Science with the LSST’).\r\n\r\nPC acknowledges support from the Zhejiang Provincial Top-Level Research Support Program.\r\n\r\nIA and JC are supported by the National Science Foundation award AST 2505775, NASA grant 24-ADAP24-0159, Scialog award SA-LSST-2024-102a, and the Discovery Alliance Catalyst Fellowship Mentors award 2025-62192-CM-19\r\n\r\nAA acknowledges support from the Ministry of Education Yushan Fellow Program (MOE-111-YSFMS-0008-001-P1) and from the National Science and Technology Council, Taiwan (NSTC 114-2112-M-008-021-MY3).\r\n\r\nT-WC acknowledges support from the Ministry of Education Yushan Fellow Program (MOE-111-YSFMS-0008-001-P1) and from the National Science and Technology Council, Taiwan (NSTC 114-2112-M-008-021-MY3).\r\n\r\nERC acknowledges support from the National Aeronautics and Space Administration through the Astrophysics Theory Program, grant 80NSSC24K0897.\r\n\r\nGD acknowledges support from the European Union’s Horizon Europe research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 101199369.\r\n\r\nDF’s contribution to this material is based upon work supported by the National Science Foundation under award no. AST-2401779.\r\n\r\nAGY’s research is supported by ISF, IMOS, and BSF grants, as well as the André Deloro Institute for Space and Optics Research, the Center for Experimental Physics, a WIS-MIT Sagol grant, the Norman E Alexander Family M Foundation ULTRASAT Data Center Fund, and Yeda-Sela; AGY is the incumbent of the The Arlyn Imberman Professorial Chair.\r\n\r\nLG acknowledges financial support from AGAUR, CSIC, MCIN, and AEI 10.13039/501100011033 under projects PID2023-151307NB-I00, PIE 20215AT016, and CEX2020-001058-M.\r\n\r\nMG acknowledges support from an STFC PhD studentship and from the Faculty of Science and Technology at Lancaster University.\r\n\r\nCPG acknowledges financial support from the Secretary of Universities and Research (Government of Catalonia) and by the Horizon 2020 Research and Innovation Programme of the European Union under the Marie Skłodowska-Curie and the Beatriu de Pinós 2021 BP 00168 programme, from the Spanish Ministerio de Ciencia e Innovación (MCIN) and the Agencia Estatal de Investigación (AEI) 10.13039/501100011033 under the PID2023-151307NB-I00 SNNEXT project, from Centro Superior de Investigaciones Científicas (CSIC) under the PIE project 20215AT016 and the program Unidad de Excelencia María de Maeztu CEX2020-001058-M, and from the Departament de Recerca i Universitats de la Generalitat de Catalunya through the 2021-SGR-01270 grant.\r\n\r\nCL is supported by DoE award no. DE-SC0025599.\r\n\r\nZwicky Transient Facility, W. M. Keck Observatory, and MMT Observatory access was supported by Northwestern University and the Center for Interdisciplinary Exploration and Research in Astrophysics (CIERA).\r\n\r\nAM gratefully acknowledges support from an STFC PhD studentship and the Faculty of Science and Technology at Lancaster University.\r\n\r\nTEMB is funded by Horizon Europe ERC grant no. 101125877.\r\n\r\nMN is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement no. 948381).\r\n\r\nNR is supported by a Northwestern University Presidential Fellowship Award. We gratefully acknowledge the support of the NSF-Simons AI-Institute for the Sky (SkAI) via grants NSF AST-2421845 and Simons Foundation MPS-AI-00010513.\r\n\r\nAS acknowledges the Warwick Astrophysics PhD prize scholarship made possible thanks to a generous philanthropic donation.\r\n\r\nSJS acknowledges funding from STFC grant ST/Y001605/1, a Royal Society Research Professorship and the Hintze Family Charitable Foundation.","date_created":"2026-07-13T10:50:10Z","month":"06","ddc":["520"],"supplementarymaterial":"yes","type":"journal_article","dataavailabilitystatement":"All photometry is provided in the supplementary data files. Spectroscopy will be made available on WISEREP, and is available on request to the lead author.","file":[{"file_name":"2026_MNRAS_Perley.pdf","creator":"dernst","date_updated":"2026-07-13T14:35:34Z","success":1,"access_level":"open_access","date_created":"2026-07-13T14:35:34Z","file_id":"22314","file_size":6208809,"checksum":"a5827b9f68f1731b8c8df18142c0ef38","content_type":"application/pdf","relation":"main_file"}],"arxiv":1,"language":[{"iso":"eng"}],"department":[{"_id":"IlCa"}]},{"oa":1,"related_material":{"record":[{"id":"15091","relation":"earlier_version","status":"public"}]},"day":"01","date_updated":"2026-10-02T11:56:12Z","title":"Chromatic alpha complexes","has_accepted_license":"1","corr_author":"1","OA_place":"repository","scopus_import":"1","ec_funded":1,"publication_identifier":{"eissn":["2639-8001"]},"publisher":"AIMS","page":"30-62","date_created":"2025-11-02T23:01:33Z","volume":8,"acknowledgement":"This project has received funding from the European Research\r\nCouncil (ERC) under the European Union’s Horizon 2020 research and innovation\r\nprogramme, grant no. 788183, from the Wittgenstein Prize, Austrian Science Fund\r\n(FWF), grant no. Z 342-N31, and from the DFG Collaborative Research Center TRR\r\n109, ‘Discretization in Geometry and Dynamics’, Austrian Science Fund (FWF),\r\ngrant no. I 02979-N35.","article_type":"original","type":"journal_article","month":"03","ddc":["510"],"department":[{"_id":"HeEd"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2212.03128","open_access":"1"}],"language":[{"iso":"eng"}],"arxiv":1,"article_processing_charge":"No","external_id":{"arxiv":["2212.03128"]},"citation":{"ama":"Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. Foundations of Data Science. 2026;8:30-62. doi:10.3934/fods.2025003","chicago":"Cultrera di Montesano, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “Chromatic Alpha Complexes.” Foundations of Data Science. AIMS, 2026. https://doi.org/10.3934/fods.2025003.","mla":"Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” Foundations of Data Science, vol. 8, AIMS, 2026, pp. 30–62, doi:10.3934/fods.2025003.","short":"S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, Foundations of Data Science 8 (2026) 30–62.","apa":"Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2026). Chromatic alpha complexes. Foundations of Data Science. AIMS. https://doi.org/10.3934/fods.2025003","ista":"Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2026. Chromatic alpha complexes. Foundations of Data Science. 8, 30–62.","ieee":"S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” Foundations of Data Science, vol. 8. AIMS, pp. 30–62, 2026."},"publication":"Foundations of Data Science","keyword":["Topological data analysis","Delaunay mosaic","alpha complex","chromatic sets","persistent homology","kernel/image/cokernel persistent homology","radius function","discrete Morse theory","exact sequences"],"year":"2026","OA_type":"green","_id":"20585","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","doi":"10.3934/fods.2025003","mathsc":["62R40","55N31","68T09","57Q70"],"oa_version":"Preprint","fulldoi":"https://doi.org/10.3934/fods.2025003","project":[{"name":"Alpha Shape Theory Extended","grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"268116B8-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Mathematics, Computer Science","grant_number":"Z00342"},{"grant_number":"I02979-N35","name":"Persistence and stability of geometric complexes","call_identifier":"FWF","_id":"2561EBF4-B435-11E9-9278-68D0E5697425"}],"date_published":"2026-03-01T00:00:00Z","intvolume":" 8","abstract":[{"text":"Motivated by applications in medical sciences, we study finite chromatic sets in Euclidean space from a topological perspective. Based on the persistent homology for images, kernels and cokernels, we design provably stable homological quantifiers that describe the geometric micro- and macro-structure of how the color classes mingle. These can be efficiently computed using chromatic variants of Delaunay and alpha complexes, and code that does these computations is provided.","lang":"eng"}],"author":[{"full_name":"Cultrera di Montesano, Sebastiano","id":"34D2A09C-F248-11E8-B48F-1D18A9856A87","last_name":"Cultrera di Montesano","orcid":"0000-0001-6249-0832","first_name":"Sebastiano"},{"last_name":"Draganov","id":"2B23F01E-F248-11E8-B48F-1D18A9856A87","full_name":"Draganov, Ondrej","first_name":"Ondrej","orcid":"0000-0003-0464-3823"},{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert"},{"last_name":"Saghafian","full_name":"Saghafian, Morteza","id":"f86f7148-b140-11ec-9577-95435b8df824","first_name":"Morteza"}],"publication_status":"published"},{"file_date_updated":"2026-07-23T05:55:03Z","scopus_import":"1","OA_place":"publisher","has_accepted_license":"1","publisher":"Cambridge University Press","publication_identifier":{"eissn":["1469-4425"],"issn":["0956-7925"]},"month":"06","supplementarymaterial":"no","type":"journal_article","ddc":["500"],"page":"614-642","date_created":"2024-12-23T11:03:59Z","volume":37,"article_type":"original","acknowledgement":"L.P. gratefully acknowledges fundings from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – GZ 2047/1, Projekt-ID 390685813. F.Q. gratefully acknowledges support from the Austrian Science Fund (FWF) project 10.55776/F65.","department":[{"_id":"GradSch"},{"_id":"JaMa"}],"language":[{"iso":"eng"}],"file":[{"content_type":"application/pdf","relation":"main_file","file_id":"22386","file_size":612317,"checksum":"d038f4d00cbfbde2672c17138eab21c9","success":1,"date_updated":"2026-07-23T05:55:03Z","date_created":"2026-07-23T05:55:03Z","access_level":"open_access","file_name":"2026_EuropJourAppliedMath_Portinale.pdf","creator":"dernst"}],"oa":1,"day":"01","related_material":{"record":[{"id":"20563","relation":"dissertation_contains","status":"public"}]},"date_updated":"2026-10-28T23:31:05Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"DOAJ_listed":"1","title":"Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs","das_tickbox":"0","researchdata_availability":"no","quality_controlled":"1","doi":"10.1017/s0956792524000810","project":[{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"fulldoi":"https://doi.org/10.1017/s0956792524000810","oa_version":"Published Version","isi":1,"date_published":"2026-06-01T00:00:00Z","author":[{"id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","full_name":"Portinale, Lorenzo","last_name":"Portinale","first_name":"Lorenzo"},{"last_name":"Quattrocchi","id":"3ebd6ba8-edfb-11eb-afb5-91a9745ba308","full_name":"Quattrocchi, Filippo","first_name":"Filippo","orcid":"0009-0000-9773-1931"}],"issue":"3","publication_status":"published","intvolume":" 37","abstract":[{"text":"We prove discrete-to-continuum convergence for dynamical optimal transport on Zd\r\n -periodic graphs with cost functional having linear growth at infinity. This result provides an answer to a problem left open by Gladbach, Kopfer, Maas, and Portinale (Calc Var Partial Differential Equations 62(5), 2023), where the convergence behaviour of discrete boundary-value dynamical transport problems is proved under the stronger assumption of superlinear growth. Our result extends the known literature to some important classes of examples, such as scaling limits of 1 -Wasserstein transport problems. Similarly to what happens in the quadratic case, the geometry of the graph plays a crucial role in the structure of the limit cost function, as we discuss in the final part of this work, which includes some visual representations.","lang":"eng"}],"citation":{"ama":"Portinale L, Quattrocchi F. Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs. European Journal of Applied Mathematics. 2026;37(3):614-642. doi:10.1017/s0956792524000810","short":"L. Portinale, F. Quattrocchi, European Journal of Applied Mathematics 37 (2026) 614–642.","mla":"Portinale, Lorenzo, and Filippo Quattrocchi. “Discrete-to-Continuum Limits of Optimal Transport with Linear Growth on Periodic Graphs.” European Journal of Applied Mathematics, vol. 37, no. 3, Cambridge University Press, 2026, pp. 614–42, doi:10.1017/s0956792524000810.","chicago":"Portinale, Lorenzo, and Filippo Quattrocchi. “Discrete-to-Continuum Limits of Optimal Transport with Linear Growth on Periodic Graphs.” European Journal of Applied Mathematics. Cambridge University Press, 2026. https://doi.org/10.1017/s0956792524000810.","ieee":"L. Portinale and F. Quattrocchi, “Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs,” European Journal of Applied Mathematics, vol. 37, no. 3. Cambridge University Press, pp. 614–642, 2026.","apa":"Portinale, L., & Quattrocchi, F. (2026). Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs. European Journal of Applied Mathematics. Cambridge University Press. https://doi.org/10.1017/s0956792524000810","ista":"Portinale L, Quattrocchi F. 2026. Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs. European Journal of Applied Mathematics. 37(3), 614–642."},"article_processing_charge":"Yes","PlanS_conform":"1","external_id":{"isi":["001381435800001"]},"publication":"European Journal of Applied Mathematics","keyword":["optimal transport","discrete-to-continuum","homogenisation","linear growth","gamma-convergence"],"year":"2026","_id":"18706","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","OA_type":"gold"},{"publication":"Mathematical Programming","article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2109.10203"],"isi":["001176563300001"]},"citation":{"ama":"Dvorak M, Kolmogorov V. Generalized minimum 0-extension problem and discrete convexity. Mathematical Programming. 2025;209:279-322. doi:10.1007/s10107-024-02064-5","ieee":"M. Dvorak and V. Kolmogorov, “Generalized minimum 0-extension problem and discrete convexity,” Mathematical Programming, vol. 209. Springer Nature, pp. 279–322, 2025.","ista":"Dvorak M, Kolmogorov V. 2025. Generalized minimum 0-extension problem and discrete convexity. Mathematical Programming. 209, 279–322.","apa":"Dvorak, M., & Kolmogorov, V. (2025). Generalized minimum 0-extension problem and discrete convexity. Mathematical Programming. Springer Nature. https://doi.org/10.1007/s10107-024-02064-5","mla":"Dvorak, Martin, and Vladimir Kolmogorov. “Generalized Minimum 0-Extension Problem and Discrete Convexity.” Mathematical Programming, vol. 209, Springer Nature, 2025, pp. 279–322, doi:10.1007/s10107-024-02064-5.","chicago":"Dvorak, Martin, and Vladimir Kolmogorov. “Generalized Minimum 0-Extension Problem and Discrete Convexity.” Mathematical Programming. Springer Nature, 2025. https://doi.org/10.1007/s10107-024-02064-5.","short":"M. Dvorak, V. Kolmogorov, Mathematical Programming 209 (2025) 279–322."},"OA_type":"hybrid","_id":"10045","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","keyword":["minimum 0-extension problem","metric labeling problem","discrete metric spaces","metric extensions","computational complexity","valued constraint satisfaction problems","discrete convex analysis","L-convex functions"],"year":"2025","quality_controlled":"1","doi":"10.1007/s10107-024-02064-5","researchdata_availability":"no","abstract":[{"text":"Given a fixed finite metric space (V,μ), the {\\em minimum 0-extension problem}, denoted as 0-Ext[μ], is equivalent to the following optimization problem: minimize function of the form minx∈Vn∑ifi(xi)+∑ijcijμ(xi,xj) where cij,cvi are given nonnegative costs and fi:V→R are functions given by fi(xi)=∑v∈Vcviμ(xi,v). The computational complexity of 0-Ext[μ] has been recently established by Karzanov and by Hirai: if metric μ is {\\em orientable modular} then 0-Ext[μ] can be solved in polynomial time, otherwise 0-Ext[μ] is NP-hard. To prove the tractability part, Hirai developed a theory of discrete convex functions on orientable modular graphs generalizing several known classes of functions in discrete convex analysis, such as L♮-convex functions. We consider a more general version of the problem in which unary functions fi(xi) can additionally have terms of the form cuv;iμ(xi,{u,v}) for {u,v}∈F, where set F⊆(V2) is fixed. We extend the complexity classification above by providing an explicit condition on (μ,F) for the problem to be tractable. In order to prove the tractability part, we generalize Hirai's theory and define a larger class of discrete convex functions. It covers, in particular, another well-known class of functions, namely submodular functions on an integer lattice. Finally, we improve the complexity of Hirai's algorithm for solving 0-Ext on orientable modular graphs.\r\n","lang":"eng"}],"intvolume":" 209","author":[{"id":"40ED02A8-C8B4-11E9-A9C0-453BE6697425","full_name":"Dvorak, Martin","last_name":"Dvorak","orcid":"0000-0001-5293-214X","first_name":"Martin"},{"first_name":"Vladimir","id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","full_name":"Kolmogorov, Vladimir","last_name":"Kolmogorov"}],"publication_status":"published","fulldoi":"https://doi.org/10.1007/s10107-024-02064-5","date_published":"2025-01-01T00:00:00Z","isi":1,"oa_version":"Published Version","day":"01","oa":1,"das_tickbox":"0","title":"Generalized minimum 0-extension problem and discrete convexity","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2026-10-02T11:45:16Z","publication_identifier":{"eissn":["1436-4646"],"issn":["0025-5610"]},"publisher":"Springer Nature","has_accepted_license":"1","corr_author":"1","scopus_import":"1","file_date_updated":"2025-04-16T09:36:08Z","OA_place":"publisher","file":[{"success":1,"date_updated":"2025-04-16T09:36:08Z","date_created":"2025-04-16T09:36:08Z","access_level":"open_access","file_name":"2025_MathProgramming_Dvorak.pdf","creator":"dernst","content_type":"application/pdf","relation":"main_file","file_id":"19578","file_size":839510,"checksum":"25d9bd490719b45eca84f4d93a06c69f"}],"department":[{"_id":"GradSch"},{"_id":"VlKo"}],"language":[{"iso":"eng"}],"arxiv":1,"page":"279-322","date_created":"2021-09-27T10:48:23Z","acknowledgement":"We thank the anonymous reviewers for their careful reading of our manuscript and their many insightful comments and suggestions. Open access funding provided by Institute of Science and Technology (IST Austria).","article_type":"original","volume":209,"ddc":["004"],"type":"journal_article","supplementarymaterial":"no","month":"01"},{"citation":{"ama":"Draganov O. Structures and computations in topological data analysis. 2025. doi:10.15479/at:ista:18979","chicago":"Draganov, Ondrej. “Structures and Computations in Topological Data Analysis.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/at:ista:18979.","mla":"Draganov, Ondrej. Structures and Computations in Topological Data Analysis. Institute of Science and Technology Austria, 2025, doi:10.15479/at:ista:18979.","short":"O. Draganov, Structures and Computations in Topological Data Analysis, Institute of Science and Technology Austria, 2025.","ieee":"O. Draganov, “Structures and computations in topological data analysis,” Institute of Science and Technology Austria, 2025.","ista":"Draganov O. 2025. Structures and computations in topological data analysis. Institute of Science and Technology Austria.","apa":"Draganov, O. (2025). Structures and computations in topological data analysis. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18979"},"article_processing_charge":"No","status":"public","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","_id":"18979","degree_awarded":"PhD","year":"2025","keyword":["topological data analysis","chromatic point set","alpha complex","persistent homology","six pack","sheaf","microlocal discrete Morse","injective resolution","collapse","knot","discrete Morse theory"],"doi":"10.15479/at:ista:18979","author":[{"first_name":"Ondrej","orcid":"0000-0003-0464-3823","last_name":"Draganov","id":"2B23F01E-F248-11E8-B48F-1D18A9856A87","full_name":"Draganov, Ondrej"}],"publication_status":"published","abstract":[{"lang":"eng","text":"Topological Data Analysis (TDA) is a discipline utilizing the mathematical field of topology to study data, most prominently collections of point sets. This thesis summarizes three projects related to computations in TDA.\r\n\r\nThe first one establishes a variant of TDA for chromatic point sets, where each point is given a color. For example, we are given positions of cells within a tumor microenvironment, and color the cancerous cells red, and the immune cells blue.\r\n\r\nThe aim is then to give a quantitative description of how the two or more sets of points spatially interact. Building on image, kernel and cokernel variants of persistent homology, we suggest six-packs of persistent diagrams as such a descriptor.\r\n\r\nWe describe a construction of a chromatic alpha complex, which enables efficient computation of several variants of the six-packs. We give topological descriptions of natural subcomplexes of the chromatic alpha complex, and show that the radii of the simplices form a discrete Morse function. Finally, we provide an implementation of the presented chromatic TDA pipeline.\r\n\r\nThe second part aims to translate a powerful tool of sheaf theory to elementary terms using labeled matrices. The goal is to enable their use in computational settings. We show that derived categories of sheaves over finite posets have, up to isomorphism, unique objects---minimal injective resolutions---and give a concrete algorithm to compute them. We further describe simple algorithms to compute derived pushforwards and pullbacks for monotonic maps, and their proper variants for inclusions, and demonstrate their tractability by providing an implementation. Finally, we suggest a discrete definition of microsupport and show desirable properties inspired by discrete Morse theory.\r\n\r\nIn the last part, we present a collection of observations about collapses. We give a characterization of collapsibility in terms of unitriangular submatrices of the boundary matrix, a cotree-tree decomposition, and the optimal solution to a variant of the Procrustes problem. We establish relation between dual collapses and relative Morse theory and pose several open questions. Finally, focusing on complexes embedded in the three-dimensional Euclidean space, we describe a relation between the collapsibility and the triviality of a polygonal knot."}],"fulldoi":"https://doi.org/10.15479/at:ista:18979","oa_version":"Published Version","project":[{"call_identifier":"FWF","_id":"2561EBF4-B435-11E9-9278-68D0E5697425","name":"Persistence and stability of geometric complexes","grant_number":"I02979-N35"},{"grant_number":"Z00342","name":"Mathematics, Computer Science","_id":"268116B8-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"date_published":"2025-02-03T00:00:00Z","day":"03","related_material":{"record":[{"id":"15091","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"18981","relation":"part_of_dissertation"}]},"oa":1,"title":"Structures and computations in topological data analysis","date_updated":"2026-10-02T11:57:00Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publisher":"Institute of Science and Technology Austria","publication_identifier":{"issn":["2663-337X"]},"supervisor":[{"orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner"}],"OA_place":"publisher","file_date_updated":"2025-02-04T16:22:07Z","corr_author":"1","alternative_title":["ISTA Thesis"],"has_accepted_license":"1","language":[{"iso":"eng"}],"department":[{"_id":"GradSch"},{"_id":"HeEd"}],"file":[{"checksum":"af6567e5d35e5eb330b8925ae37f1998","file_id":"18983","file_size":11899491,"relation":"source_file","content_type":"application/zip","creator":"odragano","file_name":"Thesis.zip","date_created":"2025-01-31T16:58:30Z","access_level":"closed","date_updated":"2025-01-31T16:58:30Z"},{"content_type":"application/pdf","relation":"main_file","file_size":8857514,"file_id":"19000","checksum":"c3fef68e35b9dc2020b2ca6006da6343","date_updated":"2025-02-04T16:22:07Z","date_created":"2025-02-04T16:22:07Z","access_level":"open_access","file_name":"Thesis.pdf","creator":"odragano"}],"type":"dissertation","ddc":["514","004"],"month":"02","acknowledgement":"The research presented in this thesis was funded with the Wittgenstein Prize,\r\nAustrian Science Fund (FWF), grant no. Z 342-N31, and from the DFG Collaborative Research\r\nCenter TRR 109, ‘Discretization in Geometry and Dynamics’, Austrian Science Fund (FWF),\r\ngrant no. I 02979-N35.\r\n","page":"140","date_created":"2025-01-31T17:04:40Z"},{"day":"01","oa":1,"title":"Common valuations of division polynomials","das_tickbox":"0","date_updated":"2026-10-21T11:01:35Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publisher":"Cambridge University Press","ec_funded":1,"publication_identifier":{"eissn":["1473-7124"],"issn":["0308-2105"]},"corr_author":"1","OA_place":"publisher","scopus_import":"1","file_date_updated":"2025-12-30T06:45:47Z","has_accepted_license":"1","department":[{"_id":"TiBr"}],"arxiv":1,"language":[{"iso":"eng"}],"file":[{"relation":"main_file","content_type":"application/pdf","checksum":"c5ec6e29aca2fb4533cb95fac409a0b2","file_id":"20878","file_size":477624,"access_level":"open_access","date_created":"2025-12-30T06:45:47Z","success":1,"date_updated":"2025-12-30T06:45:47Z","creator":"dernst","file_name":"2025_ProceedingsRoyalSocEdinburghA_Naskrecki.pdf"}],"month":"10","type":"journal_article","ddc":["510"],"supplementarymaterial":"no","page":"1646-1660","date_created":"2023-01-16T11:45:22Z","volume":155,"article_type":"original","acknowledgement":"Silverman, and Paul Voutier for the comments on the earlier version of this paper. The first author acknowledges the support by Dioscuri programme initiated by the Max Planck Society, jointly managed with the National Science Centre (Poland), and mutually funded by the Polish Ministry of Science and Higher Education and the German Federal Ministry of Education and Research. The second author has been supported by MIUR (Italy) through PRIN 2017 ‘Geometric, algebraic and analytic methods in arithmetic’ and has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413.","publication":"Proceedings of the Royal Society of Edinburgh Section A: Mathematics","citation":{"ama":"Naskręcki B, Verzobio M. Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2025;155(5):1646-1660. doi:10.1017/prm.2024.7","chicago":"Naskręcki, Bartosz, and Matteo Verzobio. “Common Valuations of Division Polynomials.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press, 2025. https://doi.org/10.1017/prm.2024.7.","mla":"Naskręcki, Bartosz, and Matteo Verzobio. “Common Valuations of Division Polynomials.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 155, no. 5, Cambridge University Press, 2025, pp. 1646–60, doi:10.1017/prm.2024.7.","short":"B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 155 (2025) 1646–1660.","ieee":"B. Naskręcki and M. Verzobio, “Common valuations of division polynomials,” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 155, no. 5. Cambridge University Press, pp. 1646–1660, 2025.","apa":"Naskręcki, B., & Verzobio, M. (2025). Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press. https://doi.org/10.1017/prm.2024.7","ista":"Naskręcki B, Verzobio M. 2025. Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 155(5), 1646–1660."},"article_processing_charge":"Yes (via OA deal)","PlanS_conform":"1","external_id":{"isi":["001174907100001"],"arxiv":["2203.02015"]},"_id":"12311","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_type":"hybrid","keyword":["Elliptic curves","Néron models","division polynomials","height functions","discrete valuation rings"],"year":"2025","quality_controlled":"1","doi":"10.1017/prm.2024.7","researchdata_availability":"no","publication_status":"published","issue":"5","author":[{"last_name":"Naskręcki","full_name":"Naskręcki, Bartosz","first_name":"Bartosz"},{"full_name":"Verzobio, Matteo","id":"7aa8f170-131e-11ed-88e1-a9efd01027cb","last_name":"Verzobio","orcid":"0000-0002-0854-0306","first_name":"Matteo"}],"abstract":[{"lang":"eng","text":"In this note, we prove a formula for the cancellation exponent kv,n between division polynomials ψn and ϕn associated with a sequence {nP}n∈N of points on an elliptic curve E defined over a discrete valuation field K. The formula greatly generalizes the previously known special cases and treats also the case of non-standard Kodaira types for non-perfect residue fields."}],"intvolume":" 155","oa_version":"Published Version","fulldoi":"https://doi.org/10.1017/prm.2024.7","isi":1,"date_published":"2025-10-01T00:00:00Z","project":[{"grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020"}]},{"year":"2024","keyword":["end-to-end","optimization","metasurface","imaging","compressed sensing"],"OA_type":"green","status":"public","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","_id":"21528","external_id":{"arxiv":["2201.12348"]},"article_processing_charge":"No","citation":{"ieee":"G. Arya, W. F. Li, C. Roques-Carmes, M. Soljačić, S. G. Johnson, and Z. Lin, “End-to-end optimization of metasurfaces for imaging with compressed sensing,” ACS Photonics, vol. 11, no. 5. American Chemical Society, pp. 2077–2087, 2024.","ista":"Arya G, Li WF, Roques-Carmes C, Soljačić M, Johnson SG, Lin Z. 2024. End-to-end optimization of metasurfaces for imaging with compressed sensing. ACS Photonics. 11(5), 2077–2087.","apa":"Arya, G., Li, W. F., Roques-Carmes, C., Soljačić, M., Johnson, S. G., & Lin, Z. (2024). End-to-end optimization of metasurfaces for imaging with compressed sensing. ACS Photonics. American Chemical Society. https://doi.org/10.1021/acsphotonics.4c00259","short":"G. Arya, W.F. Li, C. Roques-Carmes, M. Soljačić, S.G. Johnson, Z. Lin, ACS Photonics 11 (2024) 2077–2087.","chicago":"Arya, Gaurav, William F. Li, Charles Roques-Carmes, Marin Soljačić, Steven G. Johnson, and Zin Lin. “End-to-End Optimization of Metasurfaces for Imaging with Compressed Sensing.” ACS Photonics. American Chemical Society, 2024. https://doi.org/10.1021/acsphotonics.4c00259.","mla":"Arya, Gaurav, et al. “End-to-End Optimization of Metasurfaces for Imaging with Compressed Sensing.” ACS Photonics, vol. 11, no. 5, American Chemical Society, 2024, pp. 2077–87, doi:10.1021/acsphotonics.4c00259.","ama":"Arya G, Li WF, Roques-Carmes C, Soljačić M, Johnson SG, Lin Z. End-to-end optimization of metasurfaces for imaging with compressed sensing. ACS Photonics. 2024;11(5):2077-2087. doi:10.1021/acsphotonics.4c00259"},"publication":"ACS Photonics","fulldoi":"https://doi.org/10.1021/acsphotonics.4c00259","oa_version":"Preprint","date_published":"2024-04-23T00:00:00Z","abstract":[{"text":"We present a framework for the end-to-end optimization of metasurface imaging systems that reconstruct targets using compressed sensing, a technique for solving underdetermined imaging problems when the target object exhibits sparsity (e.g., the object can be described by a small number of nonzero values, but the positions of these values are unknown). We nest an iterative, unapproximated compressed sensing reconstruction algorithm into our end-to-end optimization pipeline, resulting in an interpretable, data-efficient method for maximally leveraging metaoptics to exploit object sparsity. We apply our framework to super-resolution imaging and high-resolution depth imaging with a phase-change material. In both situations, our end-to-end framework effectively optimizes metasurface structures for compressed sensing recovery, automatically balancing a number of complicated design considerations to select an imaging measurement matrix from a complex, physically constrained manifold with millions of dimensions. The optimized metasurface imaging systems are robust to noise, significantly improving over random scattering surfaces and approaching the ideal compressed sensing performance of a Gaussian matrix, showing how a physical metasurface system can demonstrably approach the mathematical limits of compressed sensing.","lang":"eng"}],"intvolume":" 11","publication_status":"published","author":[{"first_name":"Gaurav","last_name":"Arya","full_name":"Arya, Gaurav"},{"full_name":"Li, William F.","last_name":"Li","first_name":"William F."},{"full_name":"Roques-Carmes, Charles","id":"e2e68fc9-6505-11ef-a541-eb4e72cc3e82","last_name":"Roques-Carmes","first_name":"Charles"},{"last_name":"Soljačić","full_name":"Soljačić, Marin","first_name":"Marin"},{"full_name":"Johnson, Steven G.","last_name":"Johnson","first_name":"Steven G."},{"last_name":"Lin","full_name":"Lin, Zin","first_name":"Zin"}],"issue":"5","doi":"10.1021/acsphotonics.4c00259","quality_controlled":"1","date_updated":"2026-04-27T09:03:21Z","title":"End-to-end optimization of metasurfaces for imaging with compressed sensing","oa":1,"day":"23","volume":11,"article_type":"original","page":"2077-2087","date_created":"2026-03-30T12:22:47Z","extern":"1","ddc":["530"],"month":"04","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2201.12348"}],"OA_place":"repository","scopus_import":"1","publication_identifier":{"eissn":["2330-4022"]},"publisher":"American Chemical Society"},{"quality_controlled":"1","doi":"10.1021/acsphotonics.4c00259","oa_version":"Preprint","fulldoi":"https://doi.org/10.1021/acsphotonics.4c00259","date_published":"2024-04-23T00:00:00Z","author":[{"first_name":"Gaurav","last_name":"Arya","full_name":"Arya, Gaurav"},{"full_name":"Li, William F.","last_name":"Li","first_name":"William F."},{"last_name":"Roques-Carmes","id":"e2e68fc9-6505-11ef-a541-eb4e72cc3e82","full_name":"Roques-Carmes, Charles","first_name":"Charles"},{"full_name":"Soljačić, Marin","last_name":"Soljačić","first_name":"Marin"},{"first_name":"Steven G.","last_name":"Johnson","full_name":"Johnson, Steven G."},{"last_name":"Lin","full_name":"Lin, Zin","first_name":"Zin"}],"publication_status":"published","abstract":[{"lang":"eng","text":"We present a framework for the end-to-end optimization of metasurface imaging systems that reconstruct targets using compressed sensing, a technique for solving underdetermined imaging problems when the target object exhibits sparsity (i.e. the object can be described by a small number of non-zero values, but the positions of these values are unknown). We nest an iterative, unapproximated compressed sensing reconstruction algorithm into our end-to-end optimization pipeline, resulting in an interpretable, data-efficient method for maximally leveraging metaoptics to exploit object sparsity. We apply our framework to super-resolution imaging and high-resolution depth imaging with a phase-change material. In both situations, our end-to-end framework computationally discovers optimal metasurface structures for compressed sensing recovery, automatically balancing a number of complicated design considerations to select an imaging measurement matrix from a complex, physically constrained manifold with millions ofdimensions. The optimized metasurface imaging systems are robust to noise, significantly improving over random scattering surfaces and approaching the ideal compressed sensing performance of a Gaussian matrix, showing how a physical metasurface system can demonstrably approach the mathematical limits of compressed sensing."}],"citation":{"apa":"Arya, G., Li, W. F., Roques-Carmes, C., Soljačić, M., Johnson, S. G., & Lin, Z. (2024). End-to-end optimization of metasurfaces for imaging with compressed sensing. ACS Photonics. American Chemical Society. https://doi.org/10.1021/acsphotonics.4c00259","ista":"Arya G, Li WF, Roques-Carmes C, Soljačić M, Johnson SG, Lin Z. 2024. End-to-end optimization of metasurfaces for imaging with compressed sensing. ACS Photonics.","ieee":"G. Arya, W. F. Li, C. Roques-Carmes, M. Soljačić, S. G. Johnson, and Z. Lin, “End-to-end optimization of metasurfaces for imaging with compressed sensing,” ACS Photonics. American Chemical Society, 2024.","short":"G. Arya, W.F. Li, C. Roques-Carmes, M. Soljačić, S.G. Johnson, Z. Lin, ACS Photonics (2024).","chicago":"Arya, Gaurav, William F. Li, Charles Roques-Carmes, Marin Soljačić, Steven G. Johnson, and Zin Lin. “End-to-End Optimization of Metasurfaces for Imaging with Compressed Sensing.” ACS Photonics. American Chemical Society, 2024. https://doi.org/10.1021/acsphotonics.4c00259.","mla":"Arya, Gaurav, et al. “End-to-End Optimization of Metasurfaces for Imaging with Compressed Sensing.” ACS Photonics, American Chemical Society, 2024, doi:10.1021/acsphotonics.4c00259.","ama":"Arya G, Li WF, Roques-Carmes C, Soljačić M, Johnson SG, Lin Z. End-to-end optimization of metasurfaces for imaging with compressed sensing. ACS Photonics. 2024. doi:10.1021/acsphotonics.4c00259"},"article_processing_charge":"No","external_id":{"arxiv":["2201.12348"]},"publication":"ACS Photonics","keyword":["end-to-end","optimization","metasurface","imaging","compressed sensing"],"year":"2024","_id":"21672","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","status":"public","OA_type":"green","scopus_import":"1","OA_place":"repository","publisher":"American Chemical Society","publication_identifier":{"eissn":["2330-4022"]},"month":"04","type":"journal_article","ddc":["530"],"date_created":"2026-04-09T09:10:41Z","extern":"1","article_type":"original","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2201.12348"}],"language":[{"iso":"eng"}],"arxiv":1,"oa":1,"day":"23","date_updated":"2026-04-27T09:23:04Z","title":"End-to-end optimization of metasurfaces for imaging with compressed sensing"},{"quality_controlled":"1","doi":"10.1007/s00454-022-00431-7","fulldoi":"https://doi.org/10.1007/s00454-022-00431-7","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"M03073","name":"Learning and triangulating manifolds via collapses","_id":"fc390959-9c52-11eb-aca3-afa58bd282b2"}],"date_published":"2023-01-01T00:00:00Z","isi":1,"oa_version":"Published Version","abstract":[{"text":"We present criteria for establishing a triangulation of a manifold. Given a manifold M, a simplicial complex A, and a map H from the underlying space of A to M, our criteria are presented in local coordinate charts for M, and ensure that H is a homeomorphism. These criteria do not require a differentiable structure, or even an explicit metric on M. No Delaunay property of A is assumed. The result provides a triangulation guarantee for algorithms that construct a simplicial complex by working in local coordinate patches. Because the criteria are easily verified in such a setting, they are expected to be of general use.","lang":"eng"}],"intvolume":" 69","author":[{"full_name":"Boissonnat, Jean-Daniel","last_name":"Boissonnat","first_name":"Jean-Daniel"},{"full_name":"Dyer, Ramsay","last_name":"Dyer","first_name":"Ramsay"},{"last_name":"Ghosh","full_name":"Ghosh, Arijit","first_name":"Arijit"},{"last_name":"Wintraecken","full_name":"Wintraecken, Mathijs","id":"307CFBC8-F248-11E8-B48F-1D18A9856A87","first_name":"Mathijs","orcid":"0000-0002-7472-2220"}],"publication_status":"published","article_processing_charge":"No","external_id":{"isi":["000862193600001"]},"citation":{"ama":"Boissonnat J-D, Dyer R, Ghosh A, Wintraecken M. Local criteria for triangulating general manifolds. Discrete & Computational Geometry. 2023;69:156-191. doi:10.1007/s00454-022-00431-7","ista":"Boissonnat J-D, Dyer R, Ghosh A, Wintraecken M. 2023. Local criteria for triangulating general manifolds. Discrete & Computational Geometry. 69, 156–191.","ieee":"J.-D. Boissonnat, R. Dyer, A. Ghosh, and M. Wintraecken, “Local criteria for triangulating general manifolds,” Discrete & Computational Geometry, vol. 69. Springer Nature, pp. 156–191, 2023.","apa":"Boissonnat, J.-D., Dyer, R., Ghosh, A., & Wintraecken, M. (2023). Local criteria for triangulating general manifolds. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-022-00431-7","short":"J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191.","chicago":"Boissonnat, Jean-Daniel, Ramsay Dyer, Arijit Ghosh, and Mathijs Wintraecken. “Local Criteria for Triangulating General Manifolds.” Discrete & Computational Geometry. Springer Nature, 2023. https://doi.org/10.1007/s00454-022-00431-7.","mla":"Boissonnat, Jean-Daniel, et al. “Local Criteria for Triangulating General Manifolds.” Discrete & Computational Geometry, vol. 69, Springer Nature, 2023, pp. 156–91, doi:10.1007/s00454-022-00431-7."},"publication":"Discrete & Computational Geometry","keyword":["Computational Theory and Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Theoretical Computer Science"],"year":"2023","_id":"12287","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","has_accepted_license":"1","corr_author":"1","scopus_import":"1","file_date_updated":"2023-02-02T11:01:10Z","ec_funded":1,"publication_identifier":{"issn":["0179-5376"],"eissn":["1432-0444"]},"publisher":"Springer Nature","page":"156-191","date_created":"2023-01-16T10:04:06Z","article_type":"original","volume":69,"acknowledgement":"This work has been funded by the European Research Council under the European Union’s ERC Grant Agreement number 339025 GUDHI (Algorithmic Foundations of Geometric Understanding in Higher Dimensions). Arijit Ghosh is supported by Ramanujan Fellowship (No. SB/S2/RJN-064/2015). Part of this work was done when Arijit Ghosh was a Researcher at Max-Planck-Institute for Informatics, Germany, supported by the IndoGerman Max Planck Center for Computer Science (IMPECS). Mathijs Wintraecken also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411 and the Austrian Science Fund (FWF): M-3073. A part of the results described in this paper were presented at SoCG 2018 and in [3]. \r\nOpen access funding provided by the Austrian Science Fund (FWF).","type":"journal_article","ddc":["510"],"month":"01","file":[{"date_created":"2023-02-02T11:01:10Z","access_level":"open_access","date_updated":"2023-02-02T11:01:10Z","success":1,"creator":"dernst","file_name":"2023_DiscreteCompGeometry_Boissonnat.pdf","relation":"main_file","content_type":"application/pdf","checksum":"46352e0ee71e460848f88685ca852681","file_size":582850,"file_id":"12488"}],"department":[{"_id":"HeEd"}],"language":[{"iso":"eng"}],"oa":1,"day":"01","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-04-14T07:44:00Z","title":"Local criteria for triangulating general manifolds"},{"has_accepted_license":"1","file_date_updated":"2023-11-07T09:16:23Z","scopus_import":"1","corr_author":"1","publication_identifier":{"issn":["2050-5086"]},"publisher":"Cambridge University Press","acknowledgement":"Kwan was supported for part of this work by ERC Starting Grant ‘RANDSTRUCT’ No. 101076777. Sah and Sawhney were supported by NSF Graduate Research Fellowship Program DGE-2141064. Sah was supported by the PD Soros Fellowship. Sauermann was supported by NSF Award DMS-2100157, and for part of this work by a Sloan Research Fellowship.","article_type":"original","volume":11,"date_created":"2023-11-07T09:02:48Z","month":"08","ddc":["510"],"type":"journal_article","file":[{"access_level":"open_access","date_created":"2023-11-07T09:16:23Z","success":1,"date_updated":"2023-11-07T09:16:23Z","creator":"dernst","file_name":"2023_ForumMathematics_Kwan.pdf","relation":"main_file","content_type":"application/pdf","checksum":"54b824098d59073cc87a308d458b0a3e","file_id":"14500","file_size":1218719}],"arxiv":1,"language":[{"iso":"eng"}],"department":[{"_id":"MaKw"}],"oa":1,"day":"24","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-09-09T13:16:15Z","title":"Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture","doi":"10.1017/fmp.2023.17","quality_controlled":"1","fulldoi":"https://doi.org/10.1017/fmp.2023.17","oa_version":"Published Version","date_published":"2023-08-24T00:00:00Z","isi":1,"project":[{"name":"Randomness and structure in combinatorics","grant_number":"101076777","_id":"bd95085b-d553-11ed-ba76-e55d3349be45"}],"intvolume":" 11","abstract":[{"text":"An n-vertex graph is called C-Ramsey if it has no clique or independent set of size Clog2n (i.e., if it has near-optimal Ramsey behavior). In this paper, we study edge statistics in Ramsey graphs, in particular obtaining very precise control of the distribution of the number of edges in a random vertex subset of a C-Ramsey graph. This brings together two ongoing lines of research: the study of ‘random-like’ properties of Ramsey graphs and the study of small-ball probability for low-degree polynomials of independent random variables.\r\n\r\nThe proof proceeds via an ‘additive structure’ dichotomy on the degree sequence and involves a wide range of different tools from Fourier analysis, random matrix theory, the theory of Boolean functions, probabilistic combinatorics and low-rank approximation. In particular, a key ingredient is a new sharpened version of the quadratic Carbery–Wright theorem on small-ball probability for polynomials of Gaussians, which we believe is of independent interest. One of the consequences of our result is the resolution of an old conjecture of Erdős and McKay, for which Erdős reiterated in several of his open problem collections and for which he offered one of his notorious monetary prizes.","lang":"eng"}],"publication_status":"published","author":[{"first_name":"Matthew Alan","orcid":"0000-0002-4003-7567","last_name":"Kwan","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3","full_name":"Kwan, Matthew Alan"},{"first_name":"Ashwin","full_name":"Sah, Ashwin","last_name":"Sah"},{"first_name":"Lisa","last_name":"Sauermann","full_name":"Sauermann, Lisa"},{"full_name":"Sawhney, Mehtaab","last_name":"Sawhney","first_name":"Mehtaab"}],"external_id":{"isi":["001123866200001"],"arxiv":["2208.02874"]},"article_processing_charge":"Yes","citation":{"ama":"Kwan MA, Sah A, Sauermann L, Sawhney M. Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 2023;11. doi:10.1017/fmp.2023.17","ieee":"M. A. Kwan, A. Sah, L. Sauermann, and M. Sawhney, “Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture,” Forum of Mathematics, Pi, vol. 11. Cambridge University Press, 2023.","ista":"Kwan MA, Sah A, Sauermann L, Sawhney M. 2023. Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 11, e21.","apa":"Kwan, M. A., Sah, A., Sauermann, L., & Sawhney, M. (2023). Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. Cambridge University Press. https://doi.org/10.1017/fmp.2023.17","mla":"Kwan, Matthew Alan, et al. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” Forum of Mathematics, Pi, vol. 11, e21, Cambridge University Press, 2023, doi:10.1017/fmp.2023.17.","chicago":"Kwan, Matthew Alan, Ashwin Sah, Lisa Sauermann, and Mehtaab Sawhney. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” Forum of Mathematics, Pi. Cambridge University Press, 2023. https://doi.org/10.1017/fmp.2023.17.","short":"M.A. Kwan, A. Sah, L. Sauermann, M. Sawhney, Forum of Mathematics, Pi 11 (2023)."},"article_number":"e21","publication":"Forum of Mathematics, Pi","year":"2023","keyword":["Discrete Mathematics and Combinatorics","Geometry and Topology","Mathematical Physics","Statistics and Probability","Algebra and Number Theory","Analysis"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","_id":"14499"},{"external_id":{"arxiv":["2206.02720"]},"article_processing_charge":"No","citation":{"ama":"Killip R, Ouyang Z, Vişan M, Wu L. Continuum limit for the Ablowitz–Ladik system. Nonlinearity. 2023;36(7):3751-3775. doi:10.1088/1361-6544/acd978","apa":"Killip, R., Ouyang, Z., Vişan, M., & Wu, L. (2023). Continuum limit for the Ablowitz–Ladik system. Nonlinearity. IOP Publishing. https://doi.org/10.1088/1361-6544/acd978","ieee":"R. Killip, Z. Ouyang, M. Vişan, and L. Wu, “Continuum limit for the Ablowitz–Ladik system,” Nonlinearity, vol. 36, no. 7. IOP Publishing, pp. 3751–3775, 2023.","ista":"Killip R, Ouyang Z, Vişan M, Wu L. 2023. Continuum limit for the Ablowitz–Ladik system. Nonlinearity. 36(7), 3751–3775.","short":"R. Killip, Z. Ouyang, M. Vişan, L. Wu, Nonlinearity 36 (2023) 3751–3775.","mla":"Killip, Rowan, et al. “Continuum Limit for the Ablowitz–Ladik System.” Nonlinearity, vol. 36, no. 7, IOP Publishing, 2023, pp. 3751–75, doi:10.1088/1361-6544/acd978.","chicago":"Killip, Rowan, Zhimeng Ouyang, Monica Vişan, and Lei Wu. “Continuum Limit for the Ablowitz–Ladik System.” Nonlinearity. IOP Publishing, 2023. https://doi.org/10.1088/1361-6544/acd978."},"publication":"Nonlinearity","year":"2023","keyword":["Ablowitz–Ladik","continuum limit","cubic NLS"],"OA_type":"green","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"22046","doi":"10.1088/1361-6544/acd978","quality_controlled":"1","mathsc":["35Q55","37K05","37K10"],"date_published":"2023-06-09T00:00:00Z","fulldoi":"https://doi.org/10.1088/1361-6544/acd978","oa_version":"Preprint","intvolume":" 36","abstract":[{"lang":"eng","text":"We show that solutions to the Ablowitz–Ladik system converge to solutions of the cubic nonlinear Schrödinger equation for merely L2 initial data. Furthermore, we consider initial data for this lattice model that excites Fourier modes near both critical points of the discrete dispersion relation and demonstrate convergence to a decoupled system of nonlinear Schrödinger equations."}],"publication_status":"published","issue":"7","author":[{"full_name":"Killip, Rowan","last_name":"Killip","first_name":"Rowan"},{"full_name":"Ouyang, Zhimeng","last_name":"Ouyang","first_name":"Zhimeng"},{"id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","last_name":"Visan","first_name":"Monica"},{"first_name":"Lei","last_name":"Wu","full_name":"Wu, Lei"}],"oa":1,"day":"09","date_updated":"2026-06-25T07:54:44Z","das_tickbox":"1","title":"Continuum limit for the Ablowitz–Ladik system","OA_place":"repository","scopus_import":"1","publication_identifier":{"issn":["0951-7715"],"eissn":["1361-6544"]},"publisher":"IOP Publishing","article_type":"original","volume":36,"page":"3751-3775","date_created":"2026-06-19T07:49:24Z","extern":"1","type":"journal_article","month":"06","arxiv":1,"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2206.02720","open_access":"1"}]},{"date_updated":"2026-09-02T08:16:31Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"title":"Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows","oa":1,"day":"10","related_material":{"record":[{"id":"19684","relation":"dissertation_contains","status":"public"}]},"ddc":["530"],"type":"journal_article","month":"11","volume":974,"acknowledgement":"E.M. acknowledges funding from the ISTplus fellowship programme. G.Y. and B.H. acknowledge a grant from the Simons Foundation (662960, BH).","article_type":"original","date_created":"2023-10-30T09:32:28Z","language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"GradSch"},{"_id":"BjHo"}],"file":[{"content_type":"application/pdf","relation":"main_file","file_id":"14996","file_size":2804641,"checksum":"17c64c1fb0d5f73252364bf98b0b9e1a","date_updated":"2024-02-15T09:05:21Z","success":1,"access_level":"open_access","date_created":"2024-02-15T09:05:21Z","file_name":"2023_JourFluidMechanics_Marensi.pdf","creator":"dernst"}],"scopus_import":"1","file_date_updated":"2024-02-15T09:05:21Z","corr_author":"1","has_accepted_license":"1","publisher":"Cambridge University Press","publication_identifier":{"eissn":["1469-7645"],"issn":["0022-1120"]},"year":"2023","keyword":["turbulence","transition to turbulence","patterns"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","_id":"14466","citation":{"ama":"Marensi E, Yalniz G, Hof B. Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows. Journal of Fluid Mechanics. 2023;974. doi:10.1017/jfm.2023.780","short":"E. Marensi, G. Yalniz, B. Hof, Journal of Fluid Mechanics 974 (2023).","chicago":"Marensi, Elena, Gökhan Yalniz, and Björn Hof. “Dynamics and Proliferation of Turbulent Stripes in Plane-Poiseuille and Plane-Couette Flows.” Journal of Fluid Mechanics. Cambridge University Press, 2023. https://doi.org/10.1017/jfm.2023.780.","mla":"Marensi, Elena, et al. “Dynamics and Proliferation of Turbulent Stripes in Plane-Poiseuille and Plane-Couette Flows.” Journal of Fluid Mechanics, vol. 974, A21, Cambridge University Press, 2023, doi:10.1017/jfm.2023.780.","apa":"Marensi, E., Yalniz, G., & Hof, B. (2023). Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2023.780","ieee":"E. Marensi, G. Yalniz, and B. Hof, “Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows,” Journal of Fluid Mechanics, vol. 974. Cambridge University Press, 2023.","ista":"Marensi E, Yalniz G, Hof B. 2023. Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows. Journal of Fluid Mechanics. 974, A21."},"external_id":{"arxiv":["2212.12406"],"isi":["001088363700001"]},"article_processing_charge":"Yes (via OA deal)","publication":"Journal of Fluid Mechanics","article_number":"A21","oa_version":"Published Version","fulldoi":"https://doi.org/10.1017/jfm.2023.780","isi":1,"project":[{"_id":"238598C6-32DE-11EA-91FC-C7463DDC885E","name":"Revisiting the Turbulence Problem Using Statistical Mechanics","grant_number":"662960"}],"date_published":"2023-11-10T00:00:00Z","author":[{"first_name":"Elena","orcid":"0000-0001-7173-4923","last_name":"Marensi","full_name":"Marensi, Elena","id":"0BE7553A-1004-11EA-B805-18983DDC885E"},{"last_name":"Yalniz","full_name":"Yalniz, Gökhan","id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","first_name":"Gökhan","orcid":"0000-0002-8490-9312"},{"last_name":"Hof","id":"3A374330-F248-11E8-B48F-1D18A9856A87","full_name":"Hof, Björn","first_name":"Björn","orcid":"0000-0003-2057-2754"}],"publication_status":"published","intvolume":" 974","abstract":[{"text":"The first long-lived turbulent structures observable in planar shear flows take the form of localized stripes, inclined with respect to the mean flow direction. The dynamics of these stripes is central to transition, and recent studies proposed an analogy to directed percolation where the stripes’ proliferation is ultimately responsible for the turbulence becoming sustained. In the present study we focus on the internal stripe dynamics as well as on the eventual stripe expansion, and we compare the underlying mechanisms in pressure- and shear-driven planar flows, respectively, plane-Poiseuille and plane-Couette flow. Despite the similarities of the overall laminar–turbulence patterns, the stripe proliferation processes in the two cases are fundamentally different. Starting from the growth and sustenance of individual stripes, we find that in plane-Couette flow new streaks are created stochastically throughout the stripe whereas in plane-Poiseuille flow streak creation is deterministic and occurs locally at the downstream tip. Because of the up/downstream symmetry, Couette stripes, in contrast to Poiseuille stripes, have two weak and two strong laminar turbulent interfaces. These differences in symmetry as well as in internal growth give rise to two fundamentally different stripe splitting mechanisms. In plane-Poiseuille flow splitting is connected to the elongational growth of the original stripe, and it results from a break-off/shedding of the stripe's tail. In plane-Couette flow splitting follows from a broadening of the original stripe and a division along the stripe into two slimmer stripes.","lang":"eng"}],"doi":"10.1017/jfm.2023.780","quality_controlled":"1"},{"publication_identifier":{"issn":["0179-5376"],"eissn":["1432-0444"]},"publisher":"Springer Nature","has_accepted_license":"1","corr_author":"1","scopus_import":"1","file_date_updated":"2023-01-23T11:10:03Z","file":[{"file_size":1747581,"file_id":"12345","checksum":"307e879d09e52eddf5b225d0aaa9213a","content_type":"application/pdf","relation":"main_file","file_name":"2022_DiscreteCompGeometry_Wagner.pdf","creator":"dernst","date_updated":"2023-01-23T11:10:03Z","success":1,"date_created":"2023-01-23T11:10:03Z","access_level":"open_access"}],"department":[{"_id":"UlWa"}],"language":[{"iso":"eng"}],"page":"1227-1284","date_created":"2023-01-12T12:02:28Z","volume":68,"article_type":"original","acknowledgement":"This is a full and revised version of [38] (on partial triangulations) in Proceedings of the 36th Annual International Symposium on Computational Geometry (SoCG‘20) and of some of the results in [37] (on full triangulations) in Proceedings of the 31st Annual ACM-SIAM Symposium on Discrete Algorithms (SODA‘20).\r\nThis research started at the 11th Gremo’s Workshop on Open Problems (GWOP), Alp Sellamatt, Switzerland, June 24–28, 2013, motivated by a question posed by Filip Mori´c on full triangulations. Research was supported by the Swiss National Science Foundation within the collaborative DACH project Arrangements and Drawings as SNSF Project 200021E-171681, and by IST Austria and Berlin Free University during a sabbatical stay of the second author. We thank Michael Joswig, Jesús De Loera, and Francisco Santos for helpful discussions on the topics of this paper, and Daniel Bertschinger and Valentin Stoppiello for carefully reading earlier versions and for many helpful comments.\r\nOpen access funding provided by the Swiss Federal Institute of Technology Zürich","type":"journal_article","month":"11","ddc":["510"],"related_material":{"record":[{"id":"7807","relation":"earlier_version","status":"public"},{"status":"public","relation":"earlier_version","id":"7990"}]},"day":"14","oa":1,"title":"Connectivity of triangulation flip graphs in the plane","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-07-10T11:54:56Z","quality_controlled":"1","doi":"10.1007/s00454-022-00436-2","intvolume":" 68","abstract":[{"lang":"eng","text":"Given a finite point set P in general position in the plane, a full triangulation of P is a maximal straight-line embedded plane graph on P. A partial triangulation of P is a full triangulation of some subset P′ of P containing all extreme points in P. A bistellar flip on a partial triangulation either flips an edge (called edge flip), removes a non-extreme point of degree 3, or adds a point in P∖P′ as vertex of degree 3. The bistellar flip graph has all partial triangulations as vertices, and a pair of partial triangulations is adjacent if they can be obtained from one another by a bistellar flip. The edge flip graph is defined with full triangulations as vertices, and edge flips determining the adjacencies. Lawson showed in the early seventies that these graphs are connected. The goal of this paper is to investigate the structure of these graphs, with emphasis on their vertex connectivity. For sets P of n points in the plane in general position, we show that the edge flip graph is ⌈n/2−2⌉-vertex connected, and the bistellar flip graph is (n−3)-vertex connected; both results are tight. The latter bound matches the situation for the subfamily of regular triangulations (i.e., partial triangulations obtained by lifting the points to 3-space and projecting back the lower convex hull), where (n−3)-vertex connectivity has been known since the late eighties through the secondary polytope due to Gelfand, Kapranov, & Zelevinsky and Balinski’s Theorem. For the edge flip-graph, we additionally show that the vertex connectivity is at least as large as (and hence equal to) the minimum degree (i.e., the minimum number of flippable edges in any full triangulation), provided that n is large enough. Our methods also yield several other results: (i) The edge flip graph can be covered by graphs of polytopes of dimension ⌈n/2−2⌉ (products of associahedra) and the bistellar flip graph can be covered by graphs of polytopes of dimension n−3 (products of secondary polytopes). (ii) A partial triangulation is regular, if it has distance n−3 in the Hasse diagram of the partial order of partial subdivisions from the trivial subdivision. (iii) All partial triangulations of a point set are regular iff the partial order of partial subdivisions has height n−3. (iv) There are arbitrarily large sets P with non-regular partial triangulations and such that every proper subset has only regular triangulations, i.e., there are no small certificates for the existence of non-regular triangulations."}],"publication_status":"published","issue":"4","author":[{"first_name":"Uli","orcid":"0000-0002-1494-0568","last_name":"Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","full_name":"Wagner, Uli"},{"first_name":"Emo","last_name":"Welzl","full_name":"Welzl, Emo"}],"oa_version":"Published Version","fulldoi":"https://doi.org/10.1007/s00454-022-00436-2","date_published":"2022-11-14T00:00:00Z","isi":1,"publication":"Discrete & Computational Geometry","article_processing_charge":"No","external_id":{"isi":["000883222200003"]},"citation":{"short":"U. Wagner, E. Welzl, Discrete & Computational Geometry 68 (2022) 1227–1284.","chicago":"Wagner, Uli, and Emo Welzl. “Connectivity of Triangulation Flip Graphs in the Plane.” Discrete & Computational Geometry. Springer Nature, 2022. https://doi.org/10.1007/s00454-022-00436-2.","mla":"Wagner, Uli, and Emo Welzl. “Connectivity of Triangulation Flip Graphs in the Plane.” Discrete & Computational Geometry, vol. 68, no. 4, Springer Nature, 2022, pp. 1227–84, doi:10.1007/s00454-022-00436-2.","ieee":"U. Wagner and E. Welzl, “Connectivity of triangulation flip graphs in the plane,” Discrete & Computational Geometry, vol. 68, no. 4. Springer Nature, pp. 1227–1284, 2022.","ista":"Wagner U, Welzl E. 2022. Connectivity of triangulation flip graphs in the plane. Discrete & Computational Geometry. 68(4), 1227–1284.","apa":"Wagner, U., & Welzl, E. (2022). Connectivity of triangulation flip graphs in the plane. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-022-00436-2","ama":"Wagner U, Welzl E. Connectivity of triangulation flip graphs in the plane. Discrete & Computational Geometry. 2022;68(4):1227-1284. doi:10.1007/s00454-022-00436-2"},"_id":"12129","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","keyword":["Computational Theory and Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Theoretical Computer Science"],"year":"2022"},{"quality_controlled":"1","doi":"10.1017/fms.2022.86","publication_status":"published","author":[{"orcid":"0000-0002-4901-7992","first_name":"Giorgio","full_name":"Cipolloni, Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","last_name":"Cipolloni"},{"last_name":"Erdös","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","orcid":"0000-0001-5366-9603"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","full_name":"Schröder, Dominik J","last_name":"Schröder","orcid":"0000-0002-2904-1856","first_name":"Dominik J"}],"abstract":[{"text":"We prove a general local law for Wigner matrices that optimally handles observables of arbitrary rank and thus unifies the well-known averaged and isotropic local laws. As an application, we prove a central limit theorem in quantum unique ergodicity (QUE): that is, we show that the quadratic forms of a general deterministic matrix A on the bulk eigenvectors of a Wigner matrix have approximately Gaussian fluctuation. For the bulk spectrum, we thus generalise our previous result [17] as valid for test matrices A of large rank as well as the result of Benigni and Lopatto [7] as valid for specific small-rank observables.","lang":"eng"}],"intvolume":" 10","date_published":"2022-10-27T00:00:00Z","fulldoi":"https://doi.org/10.1017/fms.2022.86","oa_version":"Published Version","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"}],"isi":1,"publication":"Forum of Mathematics, Sigma","article_number":"e96","citation":{"ama":"Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.86","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).","mla":"Cipolloni, Giorgio, et al. “Rank-Uniform Local Law for Wigner Matrices.” Forum of Mathematics, Sigma, vol. 10, e96, Cambridge University Press, 2022, doi:10.1017/fms.2022.86.","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Rank-Uniform Local Law for Wigner Matrices.” Forum of Mathematics, Sigma. Cambridge University Press, 2022. https://doi.org/10.1017/fms.2022.86.","apa":"Cipolloni, G., Erdös, L., & Schröder, D. J. (2022). Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2022.86","ista":"Cipolloni G, Erdös L, Schröder DJ. 2022. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 10, e96.","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Rank-uniform local law for Wigner matrices,” Forum of Mathematics, Sigma, vol. 10. Cambridge University Press, 2022."},"article_processing_charge":"No","external_id":{"isi":["000873719200001"]},"_id":"12148","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","keyword":["Computational Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Mathematical Physics","Statistics and Probability","Algebra and Number Theory","Theoretical Computer Science","Analysis"],"year":"2022","publisher":"Cambridge University Press","ec_funded":1,"publication_identifier":{"issn":["2050-5094"]},"corr_author":"1","file_date_updated":"2023-01-24T10:02:40Z","scopus_import":"1","has_accepted_license":"1","department":[{"_id":"LaEr"}],"language":[{"iso":"eng"}],"file":[{"access_level":"open_access","date_created":"2023-01-24T10:02:40Z","date_updated":"2023-01-24T10:02:40Z","success":1,"creator":"dernst","file_name":"2022_ForumMath_Cipolloni.pdf","relation":"main_file","content_type":"application/pdf","checksum":"94a049aeb1eea5497aa097712a73c400","file_id":"12356","file_size":817089}],"month":"10","ddc":["510"],"type":"journal_article","date_created":"2023-01-12T12:07:30Z","acknowledgement":"L.E. acknowledges support by ERC Advanced Grant ‘RMTBeyond’ No. 101020331. D.S. acknowledges the support of Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zürich Foundation.","volume":10,"article_type":"original","day":"27","oa":1,"title":"Rank-uniform local law for Wigner matrices","date_updated":"2025-04-14T07:57:18Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"}},{"publication_status":"published","author":[{"first_name":"Eric A.","full_name":"Carlen, Eric A.","last_name":"Carlen"},{"first_name":"Haonan","last_name":"Zhang","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","full_name":"Zhang, Haonan"}],"abstract":[{"text":"Many trace inequalities can be expressed either as concavity/convexity theorems or as monotonicity theorems. A classic example is the joint convexity of the quantum relative entropy which is equivalent to the Data Processing Inequality. The latter says that quantum operations can never increase the relative entropy. The monotonicity versions often have many advantages, and often have direct physical application, as in the example just mentioned. Moreover, the monotonicity results are often valid for a larger class of maps than, say, quantum operations (which are completely positive). In this paper we prove several new monotonicity results, the first of which is a monotonicity theorem that has as a simple corollary a celebrated concavity theorem of Epstein. Our starting points are the monotonicity versions of the Lieb Concavity and the Lieb Convexity Theorems. We also give two new proofs of these in their general forms using interpolation. We then prove our new monotonicity theorems by several duality arguments.","lang":"eng"}],"intvolume":" 654","project":[{"_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6","grant_number":"M03337","name":"Curvature-dimension in noncommutative analysis"}],"fulldoi":"https://doi.org/10.1016/j.laa.2022.09.001","isi":1,"date_published":"2022-12-01T00:00:00Z","oa_version":"Published Version","doi":"10.1016/j.laa.2022.09.001","quality_controlled":"1","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"12216","year":"2022","keyword":["Discrete Mathematics and Combinatorics","Geometry and Topology","Numerical Analysis","Algebra and Number Theory"],"publication":"Linear Algebra and its Applications","citation":{"short":"E.A. Carlen, H. Zhang, Linear Algebra and Its Applications 654 (2022) 289–310.","mla":"Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity Theorem and Related Inequalities.” Linear Algebra and Its Applications, vol. 654, Elsevier, 2022, pp. 289–310, doi:10.1016/j.laa.2022.09.001.","chicago":"Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity Theorem and Related Inequalities.” Linear Algebra and Its Applications. Elsevier, 2022. https://doi.org/10.1016/j.laa.2022.09.001.","ista":"Carlen EA, Zhang H. 2022. Monotonicity versions of Epstein’s concavity theorem and related inequalities. Linear Algebra and its Applications. 654, 289–310.","apa":"Carlen, E. A., & Zhang, H. (2022). Monotonicity versions of Epstein’s concavity theorem and related inequalities. Linear Algebra and Its Applications. Elsevier. https://doi.org/10.1016/j.laa.2022.09.001","ieee":"E. A. Carlen and H. Zhang, “Monotonicity versions of Epstein’s concavity theorem and related inequalities,” Linear Algebra and its Applications, vol. 654. Elsevier, pp. 289–310, 2022.","ama":"Carlen EA, Zhang H. Monotonicity versions of Epstein’s concavity theorem and related inequalities. Linear Algebra and its Applications. 2022;654:289-310. doi:10.1016/j.laa.2022.09.001"},"external_id":{"isi":["000860689600014"]},"article_processing_charge":"Yes (via OA deal)","language":[{"iso":"eng"}],"department":[{"_id":"JaMa"}],"file":[{"content_type":"application/pdf","relation":"main_file","file_size":441184,"file_id":"12415","checksum":"cf3cb7e7e34baa967849f01d8f0c1ae4","success":1,"date_updated":"2023-01-27T08:08:39Z","access_level":"open_access","date_created":"2023-01-27T08:08:39Z","file_name":"2022_LinearAlgebra_Carlen.pdf","creator":"dernst"}],"month":"12","type":"journal_article","ddc":["510"],"article_type":"original","volume":654,"acknowledgement":"Work partially supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337.","page":"289-310","date_created":"2023-01-16T09:46:38Z","publisher":"Elsevier","publication_identifier":{"issn":["0024-3795"]},"scopus_import":"1","file_date_updated":"2023-01-27T08:08:39Z","corr_author":"1","has_accepted_license":"1","title":"Monotonicity versions of Epstein's concavity theorem and related inequalities","date_updated":"2025-04-14T13:05:27Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01","oa":1},{"citation":{"ama":"Dello Schiavo L, Suzuki K. Sobolev-to-Lipschitz property on QCD- spaces and applications. Mathematische Annalen. 2022;384:1815-1832. doi:10.1007/s00208-021-02331-2","mla":"Dello Schiavo, Lorenzo, and Kohei Suzuki. “Sobolev-to-Lipschitz Property on QCD- Spaces and Applications.” Mathematische Annalen, vol. 384, Springer Nature, 2022, pp. 1815–32, doi:10.1007/s00208-021-02331-2.","chicago":"Dello Schiavo, Lorenzo, and Kohei Suzuki. “Sobolev-to-Lipschitz Property on QCD- Spaces and Applications.” Mathematische Annalen. Springer Nature, 2022. https://doi.org/10.1007/s00208-021-02331-2.","short":"L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.","ieee":"L. Dello Schiavo and K. Suzuki, “Sobolev-to-Lipschitz property on QCD- spaces and applications,” Mathematische Annalen, vol. 384. Springer Nature, pp. 1815–1832, 2022.","ista":"Dello Schiavo L, Suzuki K. 2022. Sobolev-to-Lipschitz property on QCD- spaces and applications. Mathematische Annalen. 384, 1815–1832.","apa":"Dello Schiavo, L., & Suzuki, K. (2022). Sobolev-to-Lipschitz property on QCD- spaces and applications. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-021-02331-2"},"article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2110.05137"],"isi":["000734150200001"]},"publication":"Mathematische Annalen","keyword":["quasi curvature-dimension condition","sub-riemannian geometry","Sobolev-to-Lipschitz property","Varadhan short-time asymptotics"],"year":"2022","_id":"10588","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","quality_controlled":"1","doi":"10.1007/s00208-021-02331-2","project":[{"name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"fulldoi":"https://doi.org/10.1007/s00208-021-02331-2","oa_version":"Published Version","isi":1,"date_published":"2022-12-01T00:00:00Z","publication_status":"published","author":[{"id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","full_name":"Dello Schiavo, Lorenzo","last_name":"Dello Schiavo","orcid":"0000-0002-9881-6870","first_name":"Lorenzo"},{"first_name":"Kohei","full_name":"Suzuki, Kohei","last_name":"Suzuki"}],"abstract":[{"text":"We prove the Sobolev-to-Lipschitz property for metric measure spaces satisfying the quasi curvature-dimension condition recently introduced in Milman (Commun Pure Appl Math, to appear). We provide several applications to properties of the corresponding heat semigroup. In particular, under the additional assumption of infinitesimal Hilbertianity, we show the Varadhan short-time asymptotics for the heat semigroup with respect to the distance, and prove the irreducibility of the heat semigroup. These results apply in particular to large classes of (ideal) sub-Riemannian manifolds.","lang":"eng"}],"intvolume":" 384","oa":1,"day":"01","date_updated":"2025-04-14T07:27:46Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"title":"Sobolev-to-Lipschitz property on QCD- spaces and applications","corr_author":"1","file_date_updated":"2022-01-03T11:08:31Z","scopus_import":"1","has_accepted_license":"1","publisher":"Springer Nature","ec_funded":1,"publication_identifier":{"issn":["0025-5831"],"eissn":["1432-1807"]},"month":"12","type":"journal_article","ddc":["510"],"date_created":"2022-01-02T23:01:35Z","page":"1815-1832","acknowledgement":"The authors are grateful to Dr. Bang-Xian Han for helpful discussions on the Sobolev-to-Lipschitz property on metric measure spaces, and to Professor Kazuhiro Kuwae, Professor Emanuel Milman, Dr. Giorgio Stefani, and Dr. Gioacchino Antonelli for reading a preliminary version of this work and for their valuable comments and suggestions. Finally, they wish to express their gratitude to two anonymous Reviewers whose suggestions improved the presentation of this work.\r\n\r\nL.D.S. gratefully acknowledges funding of his position by the Austrian Science Fund (FWF) grant F65, and by the European Research Council (ERC, grant No. 716117, awarded to Prof. Dr. Jan Maas).\r\n\r\nK.S. gratefully acknowledges funding by: the JSPS Overseas Research Fellowships, Grant Nr. 290142; World Premier International Research Center Initiative (WPI), MEXT, Japan; JSPS Grant-in-Aid for Scientific Research on Innovative Areas “Discrete Geometric Analysis for Materials Design”, Grant Number 17H06465; and the Alexander von Humboldt Stiftung, Humboldt-Forschungsstipendium.","article_type":"original","volume":384,"department":[{"_id":"JaMa"}],"language":[{"iso":"eng"}],"arxiv":1,"file":[{"file_name":"2021_MathAnn_DelloSchiavo.pdf","creator":"alisjak","date_updated":"2022-01-03T11:08:31Z","success":1,"date_created":"2022-01-03T11:08:31Z","access_level":"open_access","file_id":"10596","file_size":410090,"checksum":"2593abbf195e38efa93b6006b1e90eb1","content_type":"application/pdf","relation":"main_file"}]},{"type":"journal_article","month":"01","ddc":["510"],"date_created":"2022-01-18T16:18:51Z","volume":10,"acknowledgement":"J.H. acknowledges partial financial support by the ERC Advanced Grant ‘RMTBeyond’ No. 101020331. Support for publication costs from the Deutsche Forschungsgemeinschaft and the Open Access Publishing Fund of the University of Tübingen is gratefully acknowledged.","article_type":"original","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"language":[{"iso":"eng"}],"arxiv":1,"file":[{"file_size":705323,"file_id":"10646","checksum":"87592a755adcef22ea590a99dc728dd3","content_type":"application/pdf","relation":"main_file","file_name":"2022_ForumMathSigma_Henheik.pdf","creator":"cchlebak","success":1,"date_updated":"2022-01-19T09:27:43Z","access_level":"open_access","date_created":"2022-01-19T09:27:43Z"}],"corr_author":"1","scopus_import":"1","file_date_updated":"2022-01-19T09:27:43Z","has_accepted_license":"1","publisher":"Cambridge University Press","ec_funded":1,"publication_identifier":{"eissn":["2050-5094"]},"date_updated":"2025-04-14T07:57:17Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"title":"Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk","oa":1,"day":"18","fulldoi":"https://doi.org/10.1017/fms.2021.80","isi":1,"project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"}],"date_published":"2022-01-18T00:00:00Z","oa_version":"Published Version","publication_status":"published","author":[{"last_name":"Henheik","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"},{"first_name":"Stefan","full_name":"Teufel, Stefan","last_name":"Teufel"}],"intvolume":" 10","abstract":[{"lang":"eng","text":"We prove a generalised super-adiabatic theorem for extended fermionic systems assuming a spectral gap only in the bulk. More precisely, we assume that the infinite system has a unique ground state and that the corresponding Gelfand–Naimark–Segal Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that a similar adiabatic theorem also holds in the bulk of finite systems up to errors that vanish faster than any inverse power of the system size, although the corresponding finite-volume Hamiltonians need not have a spectral gap.\r\n\r\n"}],"quality_controlled":"1","doi":"10.1017/fms.2021.80","keyword":["computational mathematics","discrete mathematics and combinatorics","geometry and topology","mathematical physics","statistics and probability","algebra and number theory","theoretical computer science","analysis"],"year":"2022","_id":"10643","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","citation":{"ama":"Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2021.80","short":"S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma. Cambridge University Press, 2022. https://doi.org/10.1017/fms.2021.80.","mla":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma, vol. 10, e4, Cambridge University Press, 2022, doi:10.1017/fms.2021.80.","ista":"Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. 10, e4.","apa":"Henheik, S. J., & Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2021.80","ieee":"S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk,” Forum of Mathematics, Sigma, vol. 10. Cambridge University Press, 2022."},"article_processing_charge":"Yes","external_id":{"arxiv":["2012.15239"],"isi":["000743615000001"]},"publication":"Forum of Mathematics, Sigma","article_number":"e4"},{"publication_identifier":{"eissn":["1077-8926"]},"publisher":"Electronic Journal of Combinatorics","has_accepted_license":"1","file_date_updated":"2023-01-30T11:45:13Z","scopus_import":"1","file":[{"date_created":"2023-01-30T11:45:13Z","access_level":"open_access","date_updated":"2023-01-30T11:45:13Z","success":1,"creator":"dernst","file_name":"2022_ElecJournCombinatorics_Cooley_Kang_Zalla.pdf","relation":"main_file","content_type":"application/pdf","checksum":"00122b2459f09b5ae43073bfba565e94","file_id":"12462","file_size":626953}],"language":[{"iso":"eng"}],"department":[{"_id":"MaKw"}],"volume":29,"acknowledgement":"Supported by Austrian Science Fund (FWF): I3747, W1230.","article_type":"original","date_created":"2023-01-16T10:03:57Z","license":"https://creativecommons.org/licenses/by-nd/4.0/","type":"journal_article","month":"10","ddc":["510"],"day":"21","oa":1,"title":"Loose cores and cycles in random hypergraphs","tmp":{"name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode"},"date_updated":"2026-08-04T09:29:03Z","doi":"10.37236/10794","quality_controlled":"1","intvolume":" 29","abstract":[{"text":"Inspired by the study of loose cycles in hypergraphs, we define the loose core in hypergraphs as a structurewhich mirrors the close relationship between cycles and $2$-cores in graphs. We prove that in the $r$-uniform binomial random hypergraph $H^r(n,p)$, the order of the loose core undergoes a phase transition at a certain critical threshold and determine this order, as well as the number of edges, asymptotically in the subcritical and supercritical regimes.
\r\nOur main tool is an algorithm called CoreConstruct, which enables us to analyse a peeling process for the loose core. By analysing this algorithm we determine the asymptotic degree distribution of vertices in the loose core and in particular how many vertices and edges the loose core contains. As a corollary we obtain an improved upper bound on the length of the longest loose cycle in $H^r(n,p)$.","lang":"eng"}],"author":[{"first_name":"Oliver","last_name":"Cooley","full_name":"Cooley, Oliver","id":"43f4ddd0-a46b-11ec-8df6-ef3703bd721d"},{"last_name":"Kang","full_name":"Kang, Mihyun","first_name":"Mihyun"},{"first_name":"Julian","full_name":"Zalla, Julian","last_name":"Zalla"}],"publication_status":"published","issue":"4","isi":1,"fulldoi":"https://doi.org/10.37236/10794","oa_version":"Published Version","date_published":"2022-10-21T00:00:00Z","article_number":"P4.13","publication":"The Electronic Journal of Combinatorics","external_id":{"isi":["000876763300001"]},"article_processing_charge":"No","citation":{"ama":"Cooley O, Kang M, Zalla J. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 2022;29(4). doi:10.37236/10794","chicago":"Cooley, Oliver, Mihyun Kang, and Julian Zalla. “Loose Cores and Cycles in Random Hypergraphs.” The Electronic Journal of Combinatorics. Electronic Journal of Combinatorics, 2022. https://doi.org/10.37236/10794.","mla":"Cooley, Oliver, et al. “Loose Cores and Cycles in Random Hypergraphs.” The Electronic Journal of Combinatorics, vol. 29, no. 4, P4.13, Electronic Journal of Combinatorics, 2022, doi:10.37236/10794.","short":"O. Cooley, M. Kang, J. Zalla, The Electronic Journal of Combinatorics 29 (2022).","ieee":"O. Cooley, M. Kang, and J. Zalla, “Loose cores and cycles in random hypergraphs,” The Electronic Journal of Combinatorics, vol. 29, no. 4. Electronic Journal of Combinatorics, 2022.","apa":"Cooley, O., Kang, M., & Zalla, J. (2022). Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. Electronic Journal of Combinatorics. https://doi.org/10.37236/10794","ista":"Cooley O, Kang M, Zalla J. 2022. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 29(4), P4.13."},"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"12286","year":"2022","keyword":["Computational Theory and Mathematics","Geometry and Topology","Theoretical Computer Science","Applied Mathematics","Discrete Mathematics and Combinatorics"]},{"_id":"11135","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","keyword":["Discrete Mathematics and Combinatorics","Statistics","Probability and Uncertainty","Statistics and Probability","Algebra and Number Theory"],"year":"2022","publication":"Random Matrices: Theory and Applications","article_number":"2250036","citation":{"ama":"Reker J. On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. 2022;11(4). doi:10.1142/s2010326322500368","chicago":"Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated Entries.” Random Matrices: Theory and Applications. World Scientific Publishing, 2022. https://doi.org/10.1142/s2010326322500368.","mla":"Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated Entries.” Random Matrices: Theory and Applications, vol. 11, no. 4, 2250036, World Scientific Publishing, 2022, doi:10.1142/s2010326322500368.","short":"J. Reker, Random Matrices: Theory and Applications 11 (2022).","ieee":"J. Reker, “On the operator norm of a Hermitian random matrix with correlated entries,” Random Matrices: Theory and Applications, vol. 11, no. 4. World Scientific Publishing, 2022.","apa":"Reker, J. (2022). On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. World Scientific Publishing. https://doi.org/10.1142/s2010326322500368","ista":"Reker J. 2022. On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. 11(4), 2250036."},"article_processing_charge":"No","external_id":{"arxiv":["2103.03906"],"isi":["000848873800001"]},"publication_status":"published","issue":"4","author":[{"first_name":"Jana","last_name":"Reker","full_name":"Reker, Jana","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9"}],"intvolume":" 11","abstract":[{"lang":"eng","text":"We consider a correlated NxN Hermitian random matrix with a polynomially decaying metric correlation structure. By calculating the trace of the moments of the matrix and using the summable decay of the cumulants, we show that its operator norm is stochastically dominated by one."}],"date_published":"2022-10-01T00:00:00Z","fulldoi":"https://doi.org/10.1142/s2010326322500368","oa_version":"Preprint","isi":1,"quality_controlled":"1","doi":"10.1142/s2010326322500368","title":"On the operator norm of a Hermitian random matrix with correlated entries","date_updated":"2026-10-02T11:31:29Z","day":"01","related_material":{"record":[{"id":"17164","relation":"dissertation_contains","status":"public"}]},"oa":1,"main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2103.03906"}],"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"language":[{"iso":"eng"}],"arxiv":1,"type":"journal_article","month":"10","date_created":"2022-04-08T07:11:12Z","volume":11,"article_type":"original","publisher":"World Scientific Publishing","publication_identifier":{"issn":["2010-3263"],"eissn":["2010-3271"]},"corr_author":"1","scopus_import":"1"},{"citation":{"ama":"Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. Discrete & Computational Geometry. 2021;66(3):1202-1216. doi:10.1007/s00454-021-00299-z","ista":"Avvakumov S, Kudrya S. 2021. Vanishing of all equivariant obstructions and the mapping degree. Discrete & Computational Geometry. 66(3), 1202–1216.","ieee":"S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and the mapping degree,” Discrete & Computational Geometry, vol. 66, no. 3. Springer Nature, pp. 1202–1216, 2021.","apa":"Avvakumov, S., & Kudrya, S. (2021). Vanishing of all equivariant obstructions and the mapping degree. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-021-00299-z","mla":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” Discrete & Computational Geometry, vol. 66, no. 3, Springer Nature, 2021, pp. 1202–16, doi:10.1007/s00454-021-00299-z.","chicago":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” Discrete & Computational Geometry. Springer Nature, 2021. https://doi.org/10.1007/s00454-021-00299-z.","short":"S. Avvakumov, S. Kudrya, Discrete & Computational Geometry 66 (2021) 1202–1216."},"external_id":{"arxiv":["1910.12628"]},"article_processing_charge":"No","publication":"Discrete & Computational Geometry","year":"2021","keyword":["Computational Theory and Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Theoretical Computer Science"],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"11446","doi":"10.1007/s00454-021-00299-z","quality_controlled":"1","fulldoi":"https://doi.org/10.1007/s00454-021-00299-z","date_published":"2021-10-01T00:00:00Z","oa_version":"Preprint","author":[{"orcid":"0000-0002-7840-5062","first_name":"Sergey","full_name":"Avvakumov, Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","last_name":"Avvakumov"},{"last_name":"Kudrya","id":"ecf01965-d252-11ea-95a5-8ada5f6c6a67","full_name":"Kudrya, Sergey","first_name":"Sergey"}],"issue":"3","publication_status":"published","intvolume":" 66","abstract":[{"lang":"eng","text":"Suppose that n is not a prime power and not twice a prime power. We prove that for any Hausdorff compactum X with a free action of the symmetric group Sn, there exists an Sn-equivariant map X→Rn whose image avoids the diagonal {(x,x,…,x)∈Rn∣x∈R}. Previously, the special cases of this statement for certain X were usually proved using the equivartiant obstruction theory. Such calculations are difficult and may become infeasible past the first (primary) obstruction. We take a different approach which allows us to prove the vanishing of all obstructions simultaneously. The essential step in the proof is classifying the possible degrees of Sn-equivariant maps from the boundary ∂Δn−1 of (n−1)-simplex to itself. Existence of equivariant maps between spaces is important for many questions arising from discrete mathematics and geometry, such as Kneser’s conjecture, the Square Peg conjecture, the Splitting Necklace problem, and the Topological Tverberg conjecture, etc. We demonstrate the utility of our result applying it to one such question, a specific instance of envy-free division problem."}],"day":"01","related_material":{"record":[{"relation":"earlier_version","id":"8182","status":"public"}]},"date_updated":"2025-04-14T09:10:06Z","title":"Vanishing of all equivariant obstructions and the mapping degree","scopus_import":"1","corr_author":"1","publisher":"Springer Nature","publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"month":"10","type":"journal_article","acknowledgement":"S. Avvakumov has received funding from the European Research Council under the European Union’s Seventh Framework Programme ERC Grant agreement ERC StG 716424–CASe. S. Kudrya was supported by the Austrian Academic Exchange Service (OeAD), ICM-2019-13577.","article_type":"original","volume":66,"page":"1202-1216","date_created":"2022-06-17T08:45:15Z","extern":"1","arxiv":1,"language":[{"iso":"eng"}]}]