--- DOAJ_listed: '1' OA_place: publisher OA_type: gold PlanS_conform: '1' _id: '22303' 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 \x03v ∼6600 km s−1 , indicating stable structures of denser material, possibly representing streams of tidal ejecta or an ablated companion star." 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." article_number: stag678 article_processing_charge: Yes article_type: original arxiv: 1 author: - first_name: Daniel A full_name: Perley, Daniel A last_name: Perley - first_name: Anna Y Q full_name: Ho, Anna Y Q last_name: Ho - first_name: Zoë full_name: McGrath, Zoë last_name: McGrath - first_name: Michael full_name: Camilo, Michael last_name: Camilo - 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 - first_name: Taya full_name: Govreen-Segal, Taya last_name: Govreen-Segal - first_name: Aleksandra full_name: Bochenek, Aleksandra last_name: Bochenek - first_name: Yu-Jing full_name: Qin, Yu-Jing last_name: Qin - first_name: James H full_name: Gillanders, James H last_name: Gillanders - first_name: Benjamin full_name: Amend, Benjamin last_name: Amend - 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 full_name: Aryan, Amar last_name: Aryan - first_name: Eric C full_name: Bellm, Eric C last_name: Bellm - first_name: Joshua S full_name: Bloom, Joshua S last_name: Bloom - 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 full_name: Caiazzo, Ilaria id: 8ae5b6e7-2a03-11ee-914d-b58ed7a3b47d last_name: Caiazzo orcid: 0000-0002-4770-5388 - first_name: Ken C full_name: Chambers, Ken C last_name: Chambers - first_name: Panos full_name: Charalampopoulos, Panos last_name: Charalampopoulos - first_name: Ting-Wan full_name: Chen, Ting-Wan last_name: Chen - first_name: Tracy X full_name: Chen, Tracy X last_name: Chen - first_name: Eric R full_name: Coughlin, Eric R last_name: Coughlin - first_name: Michael full_name: Coughlin, Michael last_name: Coughlin - first_name: Michel full_name: Dennefeld, Michel last_name: Dennefeld - first_name: Georgios full_name: Dimitriadis, Georgios last_name: Dimitriadis - first_name: Christoffer full_name: Fremling, Christoffer last_name: Fremling - first_name: Danielle full_name: Frostig, Danielle last_name: Frostig - first_name: Avishay full_name: Gal-Yam, Avishay last_name: Gal-Yam - first_name: Lluís full_name: Galbany, Lluís last_name: Galbany - first_name: Anjashay full_name: Gangopadhyay, Anjashay last_name: Gangopadhyay - first_name: Melzie full_name: Ghendrih, Melzie last_name: Ghendrih - first_name: Matthew J full_name: Graham, Matthew J last_name: Graham - first_name: Mariusz full_name: Gromadzki, Mariusz last_name: Gromadzki - first_name: Steven L full_name: Groom, Steven L last_name: Groom - first_name: Claudia P full_name: Gutiérrez, Claudia P last_name: Gutiérrez - first_name: K -Ryan full_name: Hinds, K -Ryan last_name: Hinds - first_name: Mark E full_name: Huber, Mark E last_name: Huber - first_name: Cosimo full_name: Inserra, Cosimo last_name: Inserra - first_name: Benjamin C full_name: Kaiser, Benjamin C last_name: Kaiser - first_name: Mansi M full_name: Kasliwal, Mansi M last_name: Kasliwal - first_name: Niilo E full_name: Koivisto, Niilo E last_name: Koivisto - first_name: Chien-Cheng full_name: Lin, Chien-Cheng last_name: Lin - first_name: Chang full_name: Liu, Chang last_name: Liu - first_name: Thomas B full_name: Lowe, Thomas B last_name: Lowe - first_name: Eugene full_name: Magnier, Eugene last_name: Magnier - first_name: Ashish A full_name: Mahabal, Ashish A last_name: Mahabal - first_name: Andrew full_name: Milligan, Andrew last_name: Milligan - first_name: Paloma full_name: Minguez, Paloma last_name: Minguez - first_name: Geoffrey full_name: Mo, Geoffrey last_name: Mo - first_name: Tomás E full_name: Müller-Bravo, Tomás E last_name: Müller-Bravo - first_name: Matt full_name: Nicholl, Matt last_name: Nicholl - first_name: Priscila J full_name: Pessi, Priscila J last_name: Pessi - first_name: Giuliano full_name: Pignata, Giuliano last_name: Pignata - first_name: Josiah full_name: Purdum, Josiah last_name: Purdum - first_name: Nabeel full_name: Rehemtulla, Nabeel last_name: Rehemtulla - first_name: R Michael full_name: Rich, R Michael last_name: Rich - first_name: Anwesha full_name: Sahu, Anwesha last_name: Sahu - first_name: Avinash full_name: Singh, Avinash last_name: Singh - first_name: Stephen J full_name: Smartt, Stephen J last_name: Smartt - first_name: Ian A full_name: Smith, Ian A last_name: Smith - first_name: Jesper full_name: Sollerman, Jesper last_name: Sollerman - first_name: Gokul full_name: Srinivasaragavan, Gokul last_name: Srinivasaragavan - first_name: Shubham full_name: Srivastav, Shubham last_name: Srivastav - first_name: Robert D full_name: Stein, Robert D last_name: Stein - first_name: Steve full_name: Schulze, Steve last_name: Schulze - first_name: Jack W full_name: Tweddle, Jack W last_name: Tweddle - first_name: Richard full_name: Wainscoat, Richard last_name: Wainscoat - first_name: Jacob L full_name: Wise, Jacob L last_name: Wise - first_name: Lin full_name: Yan, Lin last_name: Yan - first_name: David R full_name: Young, David R last_name: Young 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' 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' 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.' 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.' 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.' 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.' 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). das_tickbox: '1' 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. date_created: 2026-07-13T10:50:10Z date_published: 2026-06-01T00:00:00Z date_updated: 2026-07-13T14:36:24Z day: '01' ddc: - '520' department: - _id: IlCa doi: 10.1093/mnras/stag678 external_id: arxiv: - '2601.03337' file: - access_level: open_access checksum: a5827b9f68f1731b8c8df18142c0ef38 content_type: application/pdf creator: dernst date_created: 2026-07-13T14:35:34Z date_updated: 2026-07-13T14:35:34Z file_id: '22314' file_name: 2026_MNRAS_Perley.pdf file_size: 6208809 relation: main_file success: 1 file_date_updated: 2026-07-13T14:35:34Z fulldoi: https://doi.org/10.1093/mnras/stag678 has_accepted_license: '1' intvolume: ' 549' issue: '1' keyword: - 'stars: black holes' - 'supernovae: individual: AT2024wpp' - 'radio continuum: transients' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '06' oa: 1 oa_version: Published Version publication: Monthly Notices of the Royal Astronomical Society publication_identifier: eissn: - 1365-2966 issn: - 0035-8711 publication_status: published publisher: Oxford University Press quality_controlled: '1' researchdata_availability: upon request scopus_import: '1' status: public supplementarymaterial: yes title: 'AT 2024wpp: An extremely luminous fast ultraviolet transient powered by accretion onto a black hole' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 549 year: '2026' ... --- OA_place: repository OA_type: green _id: '20585' abstract: - lang: eng 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. 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_processing_charge: No article_type: original arxiv: 1 author: - first_name: Sebastiano full_name: Cultrera di Montesano, Sebastiano id: 34D2A09C-F248-11E8-B48F-1D18A9856A87 last_name: Cultrera di Montesano orcid: 0000-0001-6249-0832 - first_name: Ondrej full_name: Draganov, Ondrej id: 2B23F01E-F248-11E8-B48F-1D18A9856A87 last_name: Draganov orcid: 0000-0003-0464-3823 - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Morteza full_name: Saghafian, Morteza id: f86f7148-b140-11ec-9577-95435b8df824 last_name: Saghafian 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 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 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. 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. ista: Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2026. Chromatic alpha complexes. Foundations of Data Science. 8, 30–62. 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. corr_author: '1' date_created: 2025-11-02T23:01:33Z date_published: 2026-03-01T00:00:00Z date_updated: 2026-10-02T11:56:12Z day: '01' ddc: - '510' department: - _id: HeEd doi: 10.3934/fods.2025003 ec_funded: 1 external_id: arxiv: - '2212.03128' fulldoi: https://doi.org/10.3934/fods.2025003 has_accepted_license: '1' intvolume: ' 8' keyword: - Topological data analysis - Delaunay mosaic - alpha complex - chromatic sets - persistent homology - kernel/image/cokernel persistent homology - radius function - discrete Morse theory - exact sequences language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2212.03128 mathsc: - 62R40 - 55N31 - 68T09 - 57Q70 month: '03' oa: 1 oa_version: Preprint page: 30-62 project: - _id: 266A2E9E-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '788183' name: Alpha Shape Theory Extended - _id: 268116B8-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z00342 name: Mathematics, Computer Science - _id: 2561EBF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: I02979-N35 name: Persistence and stability of geometric complexes publication: Foundations of Data Science publication_identifier: eissn: - 2639-8001 publication_status: published publisher: AIMS quality_controlled: '1' related_material: record: - id: '15091' relation: earlier_version status: public scopus_import: '1' status: public title: Chromatic alpha complexes type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 8 year: '2026' ... --- DOAJ_listed: '1' OA_place: publisher OA_type: gold PlanS_conform: '1' _id: '18706' abstract: - lang: eng 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." 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. article_processing_charge: Yes article_type: original author: - first_name: Lorenzo full_name: Portinale, Lorenzo id: 30AD2CBC-F248-11E8-B48F-1D18A9856A87 last_name: Portinale - first_name: Filippo full_name: Quattrocchi, Filippo id: 3ebd6ba8-edfb-11eb-afb5-91a9745ba308 last_name: Quattrocchi orcid: 0009-0000-9773-1931 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 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 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. 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. 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. short: L. Portinale, F. Quattrocchi, European Journal of Applied Mathematics 37 (2026) 614–642. das_tickbox: '0' date_created: 2024-12-23T11:03:59Z date_published: 2026-06-01T00:00:00Z date_updated: 2026-10-28T23:31:05Z day: '01' ddc: - '500' department: - _id: GradSch - _id: JaMa doi: 10.1017/s0956792524000810 external_id: isi: - '001381435800001' file: - access_level: open_access checksum: d038f4d00cbfbde2672c17138eab21c9 content_type: application/pdf creator: dernst date_created: 2026-07-23T05:55:03Z date_updated: 2026-07-23T05:55:03Z file_id: '22386' file_name: 2026_EuropJourAppliedMath_Portinale.pdf file_size: 612317 relation: main_file success: 1 file_date_updated: 2026-07-23T05:55:03Z fulldoi: https://doi.org/10.1017/s0956792524000810 has_accepted_license: '1' intvolume: ' 37' isi: 1 issue: '3' keyword: - optimal transport - discrete-to-continuum - homogenisation - linear growth - gamma-convergence language: - iso: eng month: '06' oa: 1 oa_version: Published Version page: 614-642 project: - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems publication: European Journal of Applied Mathematics publication_identifier: eissn: - 1469-4425 issn: - 0956-7925 publication_status: published publisher: Cambridge University Press quality_controlled: '1' related_material: record: - id: '20563' relation: dissertation_contains status: public researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 37 year: '2026' ... --- OA_place: publisher OA_type: hybrid _id: '10045' abstract: - lang: eng 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" 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_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Martin full_name: Dvorak, Martin id: 40ED02A8-C8B4-11E9-A9C0-453BE6697425 last_name: Dvorak orcid: 0000-0001-5293-214X - first_name: Vladimir full_name: Kolmogorov, Vladimir id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87 last_name: Kolmogorov 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 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 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. 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. 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. short: M. Dvorak, V. Kolmogorov, Mathematical Programming 209 (2025) 279–322. corr_author: '1' das_tickbox: '0' date_created: 2021-09-27T10:48:23Z date_published: 2025-01-01T00:00:00Z date_updated: 2026-10-02T11:45:16Z day: '01' ddc: - '004' department: - _id: GradSch - _id: VlKo doi: 10.1007/s10107-024-02064-5 external_id: arxiv: - '2109.10203' isi: - '001176563300001' file: - access_level: open_access checksum: 25d9bd490719b45eca84f4d93a06c69f content_type: application/pdf creator: dernst date_created: 2025-04-16T09:36:08Z date_updated: 2025-04-16T09:36:08Z file_id: '19578' file_name: 2025_MathProgramming_Dvorak.pdf file_size: 839510 relation: main_file success: 1 file_date_updated: 2025-04-16T09:36:08Z fulldoi: https://doi.org/10.1007/s10107-024-02064-5 has_accepted_license: '1' intvolume: ' 209' isi: 1 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 language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 279-322 publication: Mathematical Programming publication_identifier: eissn: - 1436-4646 issn: - 0025-5610 publication_status: published publisher: Springer Nature quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Generalized minimum 0-extension problem and discrete convexity tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 209 year: '2025' ... --- OA_place: publisher _id: '18979' 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." 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" alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Ondrej full_name: Draganov, Ondrej id: 2B23F01E-F248-11E8-B48F-1D18A9856A87 last_name: Draganov orcid: 0000-0003-0464-3823 citation: ama: Draganov O. Structures and computations in topological data analysis. 2025. doi:10.15479/at:ista:18979 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 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. 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. 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. corr_author: '1' date_created: 2025-01-31T17:04:40Z date_published: 2025-02-03T00:00:00Z date_updated: 2026-10-02T11:57:00Z day: '03' ddc: - '514' - '004' degree_awarded: PhD department: - _id: GradSch - _id: HeEd doi: 10.15479/at:ista:18979 file: - access_level: closed checksum: af6567e5d35e5eb330b8925ae37f1998 content_type: application/zip creator: odragano date_created: 2025-01-31T16:58:30Z date_updated: 2025-01-31T16:58:30Z file_id: '18983' file_name: Thesis.zip file_size: 11899491 relation: source_file - access_level: open_access checksum: c3fef68e35b9dc2020b2ca6006da6343 content_type: application/pdf creator: odragano date_created: 2025-02-04T16:22:07Z date_updated: 2025-02-04T16:22:07Z file_id: '19000' file_name: Thesis.pdf file_size: 8857514 relation: main_file file_date_updated: 2025-02-04T16:22:07Z fulldoi: https://doi.org/10.15479/at:ista:18979 has_accepted_license: '1' keyword: - topological data analysis - chromatic point set - alpha complex - persistent homology - six pack - sheaf - microlocal discrete Morse - injective resolution - collapse - knot - discrete Morse theory language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: '140' project: - _id: 2561EBF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: I02979-N35 name: Persistence and stability of geometric complexes - _id: 268116B8-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z00342 name: Mathematics, Computer Science publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '15091' relation: part_of_dissertation status: public - id: '18981' relation: part_of_dissertation status: public status: public supervisor: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 title: Structures and computations in topological data analysis tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher OA_type: hybrid PlanS_conform: '1' _id: '12311' 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. 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. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Bartosz full_name: Naskręcki, Bartosz last_name: Naskręcki - first_name: Matteo full_name: Verzobio, Matteo id: 7aa8f170-131e-11ed-88e1-a9efd01027cb last_name: Verzobio orcid: 0000-0002-0854-0306 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' 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' 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.' 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.' 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.' 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.' corr_author: '1' das_tickbox: '0' date_created: 2023-01-16T11:45:22Z date_published: 2025-10-01T00:00:00Z date_updated: 2026-10-21T11:01:35Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1017/prm.2024.7 ec_funded: 1 external_id: arxiv: - '2203.02015' isi: - '001174907100001' file: - access_level: open_access checksum: c5ec6e29aca2fb4533cb95fac409a0b2 content_type: application/pdf creator: dernst date_created: 2025-12-30T06:45:47Z date_updated: 2025-12-30T06:45:47Z file_id: '20878' file_name: 2025_ProceedingsRoyalSocEdinburghA_Naskrecki.pdf file_size: 477624 relation: main_file success: 1 file_date_updated: 2025-12-30T06:45:47Z fulldoi: https://doi.org/10.1017/prm.2024.7 has_accepted_license: '1' intvolume: ' 155' isi: 1 issue: '5' keyword: - Elliptic curves - Néron models - division polynomials - height functions - discrete valuation rings language: - iso: eng month: '10' oa: 1 oa_version: Published Version page: 1646-1660 project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: 'Proceedings of the Royal Society of Edinburgh Section A: Mathematics' publication_identifier: eissn: - 1473-7124 issn: - 0308-2105 publication_status: published publisher: Cambridge University Press quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Common valuations of division polynomials tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 155 year: '2025' ... --- OA_place: repository OA_type: green _id: '21528' 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 (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. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Gaurav full_name: Arya, Gaurav last_name: Arya - first_name: William F. full_name: Li, William F. last_name: Li - first_name: Charles full_name: Roques-Carmes, Charles id: e2e68fc9-6505-11ef-a541-eb4e72cc3e82 last_name: Roques-Carmes - first_name: Marin full_name: Soljačić, Marin last_name: Soljačić - first_name: Steven G. full_name: Johnson, Steven G. last_name: Johnson - first_name: Zin full_name: Lin, Zin last_name: Lin citation: 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 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 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. 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. 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. short: G. Arya, W.F. Li, C. Roques-Carmes, M. Soljačić, S.G. Johnson, Z. Lin, ACS Photonics 11 (2024) 2077–2087. date_created: 2026-03-30T12:22:47Z date_published: 2024-04-23T00:00:00Z date_updated: 2026-04-27T09:03:21Z day: '23' ddc: - '530' doi: 10.1021/acsphotonics.4c00259 extern: '1' external_id: arxiv: - '2201.12348' fulldoi: https://doi.org/10.1021/acsphotonics.4c00259 intvolume: ' 11' issue: '5' keyword: - end-to-end - optimization - metasurface - imaging - compressed sensing language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2201.12348 month: '04' oa: 1 oa_version: Preprint page: 2077-2087 publication: ACS Photonics publication_identifier: eissn: - 2330-4022 publication_status: published publisher: American Chemical Society quality_controlled: '1' scopus_import: '1' status: public title: End-to-end optimization of metasurfaces for imaging with compressed sensing type: journal_article user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd volume: 11 year: '2024' ... --- OA_place: repository OA_type: green _id: '21672' 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. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Gaurav full_name: Arya, Gaurav last_name: Arya - first_name: William F. full_name: Li, William F. last_name: Li - first_name: Charles full_name: Roques-Carmes, Charles id: e2e68fc9-6505-11ef-a541-eb4e72cc3e82 last_name: Roques-Carmes - first_name: Marin full_name: Soljačić, Marin last_name: Soljačić - first_name: Steven G. full_name: Johnson, Steven G. last_name: Johnson - first_name: Zin full_name: Lin, Zin last_name: Lin citation: 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 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 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. 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. 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. 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. short: G. Arya, W.F. Li, C. Roques-Carmes, M. Soljačić, S.G. Johnson, Z. Lin, ACS Photonics (2024). date_created: 2026-04-09T09:10:41Z date_published: 2024-04-23T00:00:00Z date_updated: 2026-04-27T09:23:04Z day: '23' ddc: - '530' doi: 10.1021/acsphotonics.4c00259 extern: '1' external_id: arxiv: - '2201.12348' fulldoi: https://doi.org/10.1021/acsphotonics.4c00259 keyword: - end-to-end - optimization - metasurface - imaging - compressed sensing language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2201.12348 month: '04' oa: 1 oa_version: Preprint publication: ACS Photonics publication_identifier: eissn: - 2330-4022 publication_status: published publisher: American Chemical Society quality_controlled: '1' scopus_import: '1' status: public title: End-to-end optimization of metasurfaces for imaging with compressed sensing type: journal_article user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2024' ... --- _id: '12287' abstract: - lang: eng 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. 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)." article_processing_charge: No article_type: original author: - first_name: Jean-Daniel full_name: Boissonnat, Jean-Daniel last_name: Boissonnat - first_name: Ramsay full_name: Dyer, Ramsay last_name: Dyer - first_name: Arijit full_name: Ghosh, Arijit last_name: Ghosh - first_name: Mathijs full_name: Wintraecken, Mathijs id: 307CFBC8-F248-11E8-B48F-1D18A9856A87 last_name: Wintraecken orcid: 0000-0002-7472-2220 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 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 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. 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. ista: Boissonnat J-D, Dyer R, Ghosh A, Wintraecken M. 2023. Local criteria for triangulating general manifolds. Discrete & Computational Geometry. 69, 156–191. 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. short: J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191. corr_author: '1' date_created: 2023-01-16T10:04:06Z date_published: 2023-01-01T00:00:00Z date_updated: 2025-04-14T07:44:00Z day: '01' ddc: - '510' department: - _id: HeEd doi: 10.1007/s00454-022-00431-7 ec_funded: 1 external_id: isi: - '000862193600001' file: - access_level: open_access checksum: 46352e0ee71e460848f88685ca852681 content_type: application/pdf creator: dernst date_created: 2023-02-02T11:01:10Z date_updated: 2023-02-02T11:01:10Z file_id: '12488' file_name: 2023_DiscreteCompGeometry_Boissonnat.pdf file_size: 582850 relation: main_file success: 1 file_date_updated: 2023-02-02T11:01:10Z fulldoi: https://doi.org/10.1007/s00454-022-00431-7 has_accepted_license: '1' intvolume: ' 69' isi: 1 keyword: - Computational Theory and Mathematics - Discrete Mathematics and Combinatorics - Geometry and Topology - Theoretical Computer Science language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 156-191 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: fc390959-9c52-11eb-aca3-afa58bd282b2 grant_number: M03073 name: Learning and triangulating manifolds via collapses publication: Discrete & Computational Geometry publication_identifier: eissn: - 1432-0444 issn: - 0179-5376 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Local criteria for triangulating general manifolds tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 69 year: '2023' ... --- _id: '14499' abstract: - lang: eng 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." 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_number: e21 article_processing_charge: Yes article_type: original arxiv: 1 author: - first_name: Matthew Alan full_name: Kwan, Matthew Alan id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3 last_name: Kwan orcid: 0000-0002-4003-7567 - first_name: Ashwin full_name: Sah, Ashwin last_name: Sah - first_name: Lisa full_name: Sauermann, Lisa last_name: Sauermann - first_name: Mehtaab full_name: Sawhney, Mehtaab last_name: Sawhney 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 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 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. 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. 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. short: M.A. Kwan, A. Sah, L. Sauermann, M. Sawhney, Forum of Mathematics, Pi 11 (2023). corr_author: '1' date_created: 2023-11-07T09:02:48Z date_published: 2023-08-24T00:00:00Z date_updated: 2025-09-09T13:16:15Z day: '24' ddc: - '510' department: - _id: MaKw doi: 10.1017/fmp.2023.17 external_id: arxiv: - '2208.02874' isi: - '001123866200001' file: - access_level: open_access checksum: 54b824098d59073cc87a308d458b0a3e content_type: application/pdf creator: dernst date_created: 2023-11-07T09:16:23Z date_updated: 2023-11-07T09:16:23Z file_id: '14500' file_name: 2023_ForumMathematics_Kwan.pdf file_size: 1218719 relation: main_file success: 1 file_date_updated: 2023-11-07T09:16:23Z fulldoi: https://doi.org/10.1017/fmp.2023.17 has_accepted_license: '1' intvolume: ' 11' isi: 1 keyword: - Discrete Mathematics and Combinatorics - Geometry and Topology - Mathematical Physics - Statistics and Probability - Algebra and Number Theory - Analysis language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: bd95085b-d553-11ed-ba76-e55d3349be45 grant_number: '101076777' name: Randomness and structure in combinatorics publication: Forum of Mathematics, Pi publication_identifier: issn: - 2050-5086 publication_status: published publisher: Cambridge University Press quality_controlled: '1' scopus_import: '1' status: public title: Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 11 year: '2023' ... --- OA_place: repository OA_type: green _id: '22046' 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. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Rowan full_name: Killip, Rowan last_name: Killip - first_name: Zhimeng full_name: Ouyang, Zhimeng last_name: Ouyang - first_name: Monica full_name: Visan, Monica id: 056daca0-b8d1-11f0-964f-f91054abf8ca last_name: Visan - first_name: Lei full_name: Wu, Lei last_name: Wu 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 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. 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. 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. short: R. Killip, Z. Ouyang, M. Vişan, L. Wu, Nonlinearity 36 (2023) 3751–3775. das_tickbox: '1' date_created: 2026-06-19T07:49:24Z date_published: 2023-06-09T00:00:00Z date_updated: 2026-06-25T07:54:44Z day: '09' doi: 10.1088/1361-6544/acd978 extern: '1' external_id: arxiv: - '2206.02720' fulldoi: https://doi.org/10.1088/1361-6544/acd978 intvolume: ' 36' issue: '7' keyword: - Ablowitz–Ladik - continuum limit - cubic NLS language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2206.02720 mathsc: - 35Q55 - 37K05 - 37K10 month: '06' oa: 1 oa_version: Preprint page: 3751-3775 publication: Nonlinearity publication_identifier: eissn: - 1361-6544 issn: - 0951-7715 publication_status: published publisher: IOP Publishing quality_controlled: '1' scopus_import: '1' status: public title: Continuum limit for the Ablowitz–Ladik system type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 36 year: '2023' ... --- _id: '14466' abstract: - lang: eng 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. 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_number: A21 article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Elena full_name: Marensi, Elena id: 0BE7553A-1004-11EA-B805-18983DDC885E last_name: Marensi orcid: 0000-0001-7173-4923 - first_name: Gökhan full_name: Yalniz, Gökhan id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425 last_name: Yalniz orcid: 0000-0002-8490-9312 - first_name: Björn full_name: Hof, Björn id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 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 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 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. 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. 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. short: E. Marensi, G. Yalniz, B. Hof, Journal of Fluid Mechanics 974 (2023). corr_author: '1' date_created: 2023-10-30T09:32:28Z date_published: 2023-11-10T00:00:00Z date_updated: 2026-09-02T08:16:31Z day: '10' ddc: - '530' department: - _id: GradSch - _id: BjHo doi: 10.1017/jfm.2023.780 external_id: arxiv: - '2212.12406' isi: - '001088363700001' file: - access_level: open_access checksum: 17c64c1fb0d5f73252364bf98b0b9e1a content_type: application/pdf creator: dernst date_created: 2024-02-15T09:05:21Z date_updated: 2024-02-15T09:05:21Z file_id: '14996' file_name: 2023_JourFluidMechanics_Marensi.pdf file_size: 2804641 relation: main_file success: 1 file_date_updated: 2024-02-15T09:05:21Z fulldoi: https://doi.org/10.1017/jfm.2023.780 has_accepted_license: '1' intvolume: ' 974' isi: 1 keyword: - turbulence - transition to turbulence - patterns language: - iso: eng month: '11' oa: 1 oa_version: Published Version project: - _id: 238598C6-32DE-11EA-91FC-C7463DDC885E grant_number: '662960' name: Revisiting the Turbulence Problem Using Statistical Mechanics publication: Journal of Fluid Mechanics publication_identifier: eissn: - 1469-7645 issn: - 0022-1120 publication_status: published publisher: Cambridge University Press quality_controlled: '1' related_material: record: - id: '19684' relation: dissertation_contains status: public scopus_import: '1' status: public title: Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 974 year: '2023' ... --- _id: '12129' 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.' 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" article_processing_charge: No article_type: original author: - first_name: Uli full_name: Wagner, Uli id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 - first_name: Emo full_name: Welzl, Emo last_name: Welzl citation: 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 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 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. 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. 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. short: U. Wagner, E. Welzl, Discrete & Computational Geometry 68 (2022) 1227–1284. corr_author: '1' date_created: 2023-01-12T12:02:28Z date_published: 2022-11-14T00:00:00Z date_updated: 2025-07-10T11:54:56Z day: '14' ddc: - '510' department: - _id: UlWa doi: 10.1007/s00454-022-00436-2 external_id: isi: - '000883222200003' file: - access_level: open_access checksum: 307e879d09e52eddf5b225d0aaa9213a content_type: application/pdf creator: dernst date_created: 2023-01-23T11:10:03Z date_updated: 2023-01-23T11:10:03Z file_id: '12345' file_name: 2022_DiscreteCompGeometry_Wagner.pdf file_size: 1747581 relation: main_file success: 1 file_date_updated: 2023-01-23T11:10:03Z fulldoi: https://doi.org/10.1007/s00454-022-00436-2 has_accepted_license: '1' intvolume: ' 68' isi: 1 issue: '4' keyword: - Computational Theory and Mathematics - Discrete Mathematics and Combinatorics - Geometry and Topology - Theoretical Computer Science language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: 1227-1284 publication: Discrete & Computational Geometry publication_identifier: eissn: - 1432-0444 issn: - 0179-5376 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '7807' relation: earlier_version status: public - id: '7990' relation: earlier_version status: public scopus_import: '1' status: public title: Connectivity of triangulation flip graphs in the plane tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 68 year: '2022' ... --- _id: '12148' abstract: - lang: eng 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.' 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. article_number: e96 article_processing_charge: No article_type: original author: - first_name: Giorgio full_name: Cipolloni, Giorgio id: 42198EFA-F248-11E8-B48F-1D18A9856A87 last_name: Cipolloni orcid: 0000-0002-4901-7992 - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Dominik J full_name: Schröder, Dominik J id: 408ED176-F248-11E8-B48F-1D18A9856A87 last_name: Schröder orcid: 0000-0002-2904-1856 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 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 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. 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. ista: Cipolloni G, Erdös L, Schröder DJ. 2022. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 10, e96. 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. short: G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022). corr_author: '1' date_created: 2023-01-12T12:07:30Z date_published: 2022-10-27T00:00:00Z date_updated: 2025-04-14T07:57:18Z day: '27' ddc: - '510' department: - _id: LaEr doi: 10.1017/fms.2022.86 ec_funded: 1 external_id: isi: - '000873719200001' file: - access_level: open_access checksum: 94a049aeb1eea5497aa097712a73c400 content_type: application/pdf creator: dernst date_created: 2023-01-24T10:02:40Z date_updated: 2023-01-24T10:02:40Z file_id: '12356' file_name: 2022_ForumMath_Cipolloni.pdf file_size: 817089 relation: main_file success: 1 file_date_updated: 2023-01-24T10:02:40Z fulldoi: https://doi.org/10.1017/fms.2022.86 has_accepted_license: '1' intvolume: ' 10' isi: 1 keyword: - Computational Mathematics - Discrete Mathematics and Combinatorics - Geometry and Topology - Mathematical Physics - Statistics and Probability - Algebra and Number Theory - Theoretical Computer Science - Analysis language: - iso: eng month: '10' oa: 1 oa_version: Published Version project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Forum of Mathematics, Sigma publication_identifier: issn: - 2050-5094 publication_status: published publisher: Cambridge University Press quality_controlled: '1' scopus_import: '1' status: public title: Rank-uniform local law for Wigner matrices tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 10 year: '2022' ... --- _id: '12216' abstract: - lang: eng 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. acknowledgement: Work partially supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Eric A. full_name: Carlen, Eric A. last_name: Carlen - first_name: Haonan full_name: Zhang, Haonan id: D8F41E38-9E66-11E9-A9E2-65C2E5697425 last_name: Zhang citation: 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 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 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. 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. ista: Carlen EA, Zhang H. 2022. Monotonicity versions of Epstein’s concavity theorem and related inequalities. Linear Algebra and its Applications. 654, 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. short: E.A. Carlen, H. Zhang, Linear Algebra and Its Applications 654 (2022) 289–310. corr_author: '1' date_created: 2023-01-16T09:46:38Z date_published: 2022-12-01T00:00:00Z date_updated: 2025-04-14T13:05:27Z day: '01' ddc: - '510' department: - _id: JaMa doi: 10.1016/j.laa.2022.09.001 external_id: isi: - '000860689600014' file: - access_level: open_access checksum: cf3cb7e7e34baa967849f01d8f0c1ae4 content_type: application/pdf creator: dernst date_created: 2023-01-27T08:08:39Z date_updated: 2023-01-27T08:08:39Z file_id: '12415' file_name: 2022_LinearAlgebra_Carlen.pdf file_size: 441184 relation: main_file success: 1 file_date_updated: 2023-01-27T08:08:39Z fulldoi: https://doi.org/10.1016/j.laa.2022.09.001 has_accepted_license: '1' intvolume: ' 654' isi: 1 keyword: - Discrete Mathematics and Combinatorics - Geometry and Topology - Numerical Analysis - Algebra and Number Theory language: - iso: eng month: '12' oa: 1 oa_version: Published Version page: 289-310 project: - _id: eb958bca-77a9-11ec-83b8-c565cb50d8d6 grant_number: M03337 name: Curvature-dimension in noncommutative analysis publication: Linear Algebra and its Applications publication_identifier: issn: - 0024-3795 publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Monotonicity versions of Epstein's concavity theorem and related inequalities tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 654 year: '2022' ... --- _id: '10588' abstract: - lang: eng 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. 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_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Lorenzo full_name: Dello Schiavo, Lorenzo id: ECEBF480-9E4F-11EA-B557-B0823DDC885E last_name: Dello Schiavo orcid: 0000-0002-9881-6870 - first_name: Kohei full_name: Suzuki, Kohei last_name: Suzuki 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 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 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. 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. 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. short: L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832. corr_author: '1' date_created: 2022-01-02T23:01:35Z date_published: 2022-12-01T00:00:00Z date_updated: 2025-04-14T07:27:46Z day: '01' ddc: - '510' department: - _id: JaMa doi: 10.1007/s00208-021-02331-2 ec_funded: 1 external_id: arxiv: - '2110.05137' isi: - '000734150200001' file: - access_level: open_access checksum: 2593abbf195e38efa93b6006b1e90eb1 content_type: application/pdf creator: alisjak date_created: 2022-01-03T11:08:31Z date_updated: 2022-01-03T11:08:31Z file_id: '10596' file_name: 2021_MathAnn_DelloSchiavo.pdf file_size: 410090 relation: main_file success: 1 file_date_updated: 2022-01-03T11:08:31Z fulldoi: https://doi.org/10.1007/s00208-021-02331-2 has_accepted_license: '1' intvolume: ' 384' isi: 1 keyword: - quasi curvature-dimension condition - sub-riemannian geometry - Sobolev-to-Lipschitz property - Varadhan short-time asymptotics language: - iso: eng month: '12' oa: 1 oa_version: Published Version page: 1815-1832 project: - _id: 256E75B8-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '716117' name: Optimal Transport and Stochastic Dynamics - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Mathematische Annalen publication_identifier: eissn: - 1432-1807 issn: - 0025-5831 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Sobolev-to-Lipschitz property on QCD- spaces and applications tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 384 year: '2022' ... --- _id: '10643' 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" 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_number: e4 article_processing_charge: Yes article_type: original arxiv: 1 author: - first_name: Sven Joscha full_name: Henheik, Sven Joscha id: 31d731d7-d235-11ea-ad11-b50331c8d7fb last_name: Henheik orcid: 0000-0003-1106-327X - first_name: Stefan full_name: Teufel, Stefan last_name: Teufel 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' 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' 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.' 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.' 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.' 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.' short: S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022). corr_author: '1' date_created: 2022-01-18T16:18:51Z date_published: 2022-01-18T00:00:00Z date_updated: 2025-04-14T07:57:17Z day: '18' ddc: - '510' department: - _id: GradSch - _id: LaEr doi: 10.1017/fms.2021.80 ec_funded: 1 external_id: arxiv: - '2012.15239' isi: - '000743615000001' file: - access_level: open_access checksum: 87592a755adcef22ea590a99dc728dd3 content_type: application/pdf creator: cchlebak date_created: 2022-01-19T09:27:43Z date_updated: 2022-01-19T09:27:43Z file_id: '10646' file_name: 2022_ForumMathSigma_Henheik.pdf file_size: 705323 relation: main_file success: 1 file_date_updated: 2022-01-19T09:27:43Z fulldoi: https://doi.org/10.1017/fms.2021.80 has_accepted_license: '1' intvolume: ' 10' isi: 1 keyword: - computational mathematics - discrete mathematics and combinatorics - geometry and topology - mathematical physics - statistics and probability - algebra and number theory - theoretical computer science - analysis language: - iso: eng month: '01' oa: 1 oa_version: Published Version project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Forum of Mathematics, Sigma publication_identifier: eissn: - 2050-5094 publication_status: published publisher: Cambridge University Press quality_controlled: '1' scopus_import: '1' status: public title: 'Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 10 year: '2022' ... --- _id: '12286' abstract: - lang: eng 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 $H^r(n,p)$." acknowledgement: 'Supported by Austrian Science Fund (FWF): I3747, W1230.' article_number: P4.13 article_processing_charge: No article_type: original author: - first_name: Oliver full_name: Cooley, Oliver id: 43f4ddd0-a46b-11ec-8df6-ef3703bd721d last_name: Cooley - first_name: Mihyun full_name: Kang, Mihyun last_name: Kang - first_name: Julian full_name: Zalla, Julian last_name: Zalla 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 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 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. 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. ista: Cooley O, Kang M, Zalla J. 2022. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 29(4), P4.13. 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). date_created: 2023-01-16T10:03:57Z date_published: 2022-10-21T00:00:00Z date_updated: 2026-08-04T09:29:03Z day: '21' ddc: - '510' department: - _id: MaKw doi: 10.37236/10794 external_id: isi: - '000876763300001' file: - access_level: open_access checksum: 00122b2459f09b5ae43073bfba565e94 content_type: application/pdf creator: dernst date_created: 2023-01-30T11:45:13Z date_updated: 2023-01-30T11:45:13Z file_id: '12462' file_name: 2022_ElecJournCombinatorics_Cooley_Kang_Zalla.pdf file_size: 626953 relation: main_file success: 1 file_date_updated: 2023-01-30T11:45:13Z fulldoi: https://doi.org/10.37236/10794 has_accepted_license: '1' intvolume: ' 29' isi: 1 issue: '4' keyword: - Computational Theory and Mathematics - Geometry and Topology - Theoretical Computer Science - Applied Mathematics - Discrete Mathematics and Combinatorics language: - iso: eng license: https://creativecommons.org/licenses/by-nd/4.0/ month: '10' oa: 1 oa_version: Published Version publication: The Electronic Journal of Combinatorics publication_identifier: eissn: - 1077-8926 publication_status: published publisher: Electronic Journal of Combinatorics quality_controlled: '1' scopus_import: '1' status: public title: Loose cores and cycles in random hypergraphs tmp: image: /image/cc_by_nd.png legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) short: CC BY-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 29 year: '2022' ... --- _id: '11135' 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. article_number: '2250036' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Jana full_name: Reker, Jana id: e796e4f9-dc8d-11ea-abe3-97e26a0323e9 last_name: Reker 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' 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' 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.' 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.' ista: 'Reker J. 2022. On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. 11(4), 2250036.' 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).' corr_author: '1' date_created: 2022-04-08T07:11:12Z date_published: 2022-10-01T00:00:00Z date_updated: 2026-10-02T11:31:29Z day: '01' department: - _id: GradSch - _id: LaEr doi: 10.1142/s2010326322500368 external_id: arxiv: - '2103.03906' isi: - '000848873800001' fulldoi: https://doi.org/10.1142/s2010326322500368 intvolume: ' 11' isi: 1 issue: '4' keyword: - Discrete Mathematics and Combinatorics - Statistics - Probability and Uncertainty - Statistics and Probability - Algebra and Number Theory language: - iso: eng main_file_link: - open_access: '1' url: ' https://doi.org/10.48550/arXiv.2103.03906' month: '10' oa: 1 oa_version: Preprint publication: 'Random Matrices: Theory and Applications' publication_identifier: eissn: - 2010-3271 issn: - 2010-3263 publication_status: published publisher: World Scientific Publishing quality_controlled: '1' related_material: record: - id: '17164' relation: dissertation_contains status: public scopus_import: '1' status: public title: On the operator norm of a Hermitian random matrix with correlated entries type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 11 year: '2022' ... --- _id: '11446' 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. 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_processing_charge: No article_type: original arxiv: 1 author: - first_name: Sergey full_name: Avvakumov, Sergey id: 3827DAC8-F248-11E8-B48F-1D18A9856A87 last_name: Avvakumov orcid: 0000-0002-7840-5062 - first_name: Sergey full_name: Kudrya, Sergey id: ecf01965-d252-11ea-95a5-8ada5f6c6a67 last_name: Kudrya 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 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 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. 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. ista: Avvakumov S, Kudrya S. 2021. Vanishing of all equivariant obstructions and the mapping degree. Discrete & Computational Geometry. 66(3), 1202–1216. 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. short: S. Avvakumov, S. Kudrya, Discrete & Computational Geometry 66 (2021) 1202–1216. corr_author: '1' date_created: 2022-06-17T08:45:15Z date_published: 2021-10-01T00:00:00Z date_updated: 2025-04-14T09:10:06Z day: '01' doi: 10.1007/s00454-021-00299-z extern: '1' external_id: arxiv: - '1910.12628' fulldoi: https://doi.org/10.1007/s00454-021-00299-z intvolume: ' 66' issue: '3' keyword: - Computational Theory and Mathematics - Discrete Mathematics and Combinatorics - Geometry and Topology - Theoretical Computer Science language: - iso: eng month: '10' oa_version: Preprint page: 1202-1216 publication: Discrete & Computational Geometry publication_identifier: eissn: - 1432-0444 issn: - 0179-5376 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '8182' relation: earlier_version status: public scopus_import: '1' status: public title: Vanishing of all equivariant obstructions and the mapping degree type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 66 year: '2021' ...