[{"citation":{"mla":"Cipolloni, Giorgio, et al. “Optimal Decay of Eigenvector Overlap for Non-Hermitian Random Matrices.” Journal of Functional Analysis, vol. 290, no. 1, 111180, Elsevier, 2026, doi:10.1016/j.jfa.2025.111180.","ista":"Cipolloni G, Erdös L, Xu Y. 2026. Optimal decay of eigenvector overlap for non-Hermitian random matrices. Journal of Functional Analysis. 290(1), 111180.","ieee":"G. Cipolloni, L. Erdös, and Y. Xu, “Optimal decay of eigenvector overlap for non-Hermitian random matrices,” Journal of Functional Analysis, vol. 290, no. 1. Elsevier, 2026.","ama":"Cipolloni G, Erdös L, Xu Y. Optimal decay of eigenvector overlap for non-Hermitian random matrices. Journal of Functional Analysis. 2026;290(1). doi:10.1016/j.jfa.2025.111180","short":"G. Cipolloni, L. Erdös, Y. Xu, Journal of Functional Analysis 290 (2026).","apa":"Cipolloni, G., Erdös, L., & Xu, Y. (2026). Optimal decay of eigenvector overlap for non-Hermitian random matrices. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2025.111180","chicago":"Cipolloni, Giorgio, László Erdös, and Yuanyuan Xu. “Optimal Decay of Eigenvector Overlap for Non-Hermitian Random Matrices.” Journal of Functional Analysis. Elsevier, 2026. https://doi.org/10.1016/j.jfa.2025.111180."},"has_accepted_license":"1","quality_controlled":"1","article_number":"111180","scopus_import":"1","author":[{"orcid":"0000-0002-4901-7992","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","last_name":"Cipolloni","first_name":"Giorgio","full_name":"Cipolloni, Giorgio"},{"first_name":"László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","full_name":"Erdös, László"},{"full_name":"Xu, Yuanyuan","id":"7902bdb1-a2a4-11eb-a164-c9216f71aea3","last_name":"Xu","orcid":"0000-0003-1559-1205","first_name":"Yuanyuan"}],"_id":"20328","file_date_updated":"2026-01-05T13:05:47Z","PlanS_conform":"1","publisher":"Elsevier","intvolume":" 290","type":"journal_article","isi":1,"OA_place":"publisher","year":"2026","project":[{"grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"publication":"Journal of Functional Analysis","article_type":"original","external_id":{"isi":["001583178200001"],"arxiv":["2411.16572"]},"title":"Optimal decay of eigenvector overlap for non-Hermitian random matrices","volume":290,"publication_identifier":{"issn":["0022-1236"]},"acknowledgement":"Partially supported by ERC Advanced Grant “RMTBeyond” No. 101020331. Partially supported by National Key R&D Program of China No. 2024YFA1013503.","date_created":"2025-09-10T05:46:07Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"LaEr"}],"arxiv":1,"issue":"1","oa_version":"Published Version","date_updated":"2026-01-05T13:05:52Z","language":[{"iso":"eng"}],"ec_funded":1,"oa":1,"day":"01","file":[{"date_updated":"2026-01-05T13:05:47Z","access_level":"open_access","creator":"dernst","relation":"main_file","content_type":"application/pdf","file_id":"20947","date_created":"2026-01-05T13:05:47Z","checksum":"ee53d5e695f0df11e017c8c9242a2b04","file_name":"2026_JourFuncAnalysis_Cipolloni.pdf","file_size":2503887,"success":1}],"corr_author":"1","abstract":[{"lang":"eng","text":"We consider the standard overlap (math formular) of any bi-orthogonal family of left and right eigenvectors of a large random matrix X with centred i.i.d. entries and we prove that it decays as an inverse second power of the distance between the corresponding eigenvalues. This extends similar results for the complex Gaussian ensemble from Bourgade and Dubach [15], as well as Benaych-Georges and Zeitouni [13], to any i.i.d. matrix ensemble in both symmetry classes. As a main tool, we prove a two-resolvent local law for the Hermitisation of X uniformly in the spectrum with optimal decay rate and optimal dependence on the density near the spectral edge."}],"publication_status":"published","ddc":["510"],"status":"public","date_published":"2026-01-01T00:00:00Z","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"OA_type":"hybrid","month":"01","doi":"10.1016/j.jfa.2025.111180","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"citation":{"chicago":"Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110475.","short":"M. Wirth, Journal of Functional Analysis 287 (2024).","apa":"Wirth, M. (2024). Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110475","ama":"Wirth M. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 2024;287(3). doi:10.1016/j.jfa.2024.110475","ista":"Wirth M. 2024. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 287(3), 110475.","ieee":"M. Wirth, “Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups,” Journal of Functional Analysis, vol. 287, no. 3. Elsevier, 2024.","mla":"Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” Journal of Functional Analysis, vol. 287, no. 3, 110475, Elsevier, 2024, doi:10.1016/j.jfa.2024.110475."},"has_accepted_license":"1","scopus_import":"1","quality_controlled":"1","article_number":"110475","author":[{"orcid":"0000-0002-0519-4241","last_name":"Wirth","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","first_name":"Melchior","full_name":"Wirth, Melchior"}],"_id":"15373","file_date_updated":"2025-01-09T09:33:56Z","publisher":"Elsevier","intvolume":" 287","type":"journal_article","isi":1,"OA_place":"publisher","year":"2024","publication":"Journal of Functional Analysis","article_type":"original","external_id":{"isi":["001237916800001"]},"title":"Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups","volume":287,"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"date_created":"2024-05-12T22:01:01Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"JaMa"}],"issue":"3","oa_version":"Published Version","date_updated":"2025-09-08T07:24:07Z","language":[{"iso":"eng"}],"oa":1,"day":"01","file":[{"date_updated":"2025-01-09T09:33:56Z","access_level":"open_access","creator":"dernst","relation":"main_file","content_type":"application/pdf","file_id":"18802","date_created":"2025-01-09T09:33:56Z","checksum":"657c9f77dd30bb31ce43a591f58126a2","file_name":"2024_JourFunctAnalysis_Wirth.pdf","file_size":503148,"success":1}],"corr_author":"1","publication_status":"published","abstract":[{"lang":"eng","text":"In this article we prove a refined version of the Christensen–Evans theorem for generators of uniformly continuous GNS-symmetric quantum Markov semigroups. We use this result to show the existence of GNS-symmetric extensions of GNS-symmetric quantum Markov semigroups. In particular, this implies that the generators of GNS-symmetric quantum Markov semigroups on finite-dimensional von Neumann algebra can be written in the form specified by Alicki's theorem."}],"ddc":["510"],"status":"public","date_published":"2024-08-01T00:00:00Z","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"month":"08","OA_type":"hybrid","doi":"10.1016/j.jfa.2024.110475","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"day":"15","corr_author":"1","arxiv":1,"oa_version":"Preprint","date_updated":"2025-09-08T08:25:34Z","issue":"8","oa":1,"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"10.48550/arXiv.2303.12926"}],"OA_type":"green","month":"10","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","doi":"10.1016/j.jfa.2024.110562","abstract":[{"lang":"eng","text":"This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.\r\n\r\n"}],"publication_status":"published","status":"public","date_published":"2024-10-15T00:00:00Z","publisher":"Elsevier","intvolume":" 287","isi":1,"type":"journal_article","citation":{"chicago":"Brigati, Giovanni, Jean Dolbeault, and Nikita Simonov. “Stability for the Logarithmic Sobolev Inequality.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110562.","short":"G. Brigati, J. Dolbeault, N. Simonov, Journal of Functional Analysis 287 (2024).","apa":"Brigati, G., Dolbeault, J., & Simonov, N. (2024). Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110562","ama":"Brigati G, Dolbeault J, Simonov N. Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. 2024;287(8). doi:10.1016/j.jfa.2024.110562","ieee":"G. Brigati, J. Dolbeault, and N. Simonov, “Stability for the logarithmic Sobolev inequality,” Journal of Functional Analysis, vol. 287, no. 8. Elsevier, 2024.","mla":"Brigati, Giovanni, et al. “Stability for the Logarithmic Sobolev Inequality.” Journal of Functional Analysis, vol. 287, no. 8, 110562, Elsevier, 2024, doi:10.1016/j.jfa.2024.110562.","ista":"Brigati G, Dolbeault J, Simonov N. 2024. Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. 287(8), 110562."},"scopus_import":"1","quality_controlled":"1","article_number":"110562","_id":"17277","author":[{"full_name":"Brigati, Giovanni","first_name":"Giovanni","id":"63ff57e8-1fbb-11ee-88f2-f558ffc59cf1","last_name":"Brigati"},{"full_name":"Dolbeault, Jean","first_name":"Jean","last_name":"Dolbeault"},{"full_name":"Simonov, Nikita","first_name":"Nikita","last_name":"Simonov"}],"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"article_processing_charge":"No","acknowledgement":"The authors thank Max Fathi and Pierre Cardaliaguet for fruitful discussions and Emanuel Indrei for stimulating interactions. They also thank an anonymous referee for useful comments and suggestions which have led to an improvement of the manuscript. They also want to express their gratitude to the managing editor, L. Gross, for his encouragements and questions. G.B. has been funded by the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No 754362. This work has been (partially) supported by the Project Conviviality ANR-23-CE40-0003 of the French National Research Agency.","date_created":"2024-07-21T22:01:00Z","department":[{"_id":"JaMa"}],"OA_place":"repository","publication":"Journal of Functional Analysis","year":"2024","volume":287,"external_id":{"isi":["001271814000001"],"arxiv":["2303.12926"]},"title":"Stability for the logarithmic Sobolev inequality","article_type":"original"},{"oa_version":"Published Version","date_updated":"2026-04-07T12:37:11Z","issue":"4","language":[{"iso":"eng"}],"ec_funded":1,"oa":1,"day":"15","file":[{"checksum":"07d3f73e0c56e68eb110851842c22ee0","date_created":"2025-06-24T13:14:21Z","file_id":"19891","success":1,"file_size":1374854,"file_name":"2025_JourFunctionalAnalysis_Cipolloni.pdf","creator":"dernst","access_level":"open_access","date_updated":"2025-06-24T13:14:21Z","content_type":"application/pdf","relation":"main_file"}],"corr_author":"1","ddc":["510"],"abstract":[{"text":"We consider large non-Hermitian NxN matrices with an additive independent, identically distributed (i.i.d.) noise for each matrix elements. We show that already a small noise of variance 1/N completely thermalises the bulk singular vectors, in particular they satisfy the strong form of Quantum Unique Ergodicity (QUE) with an optimal speed of convergence. In physics terms, we thus extend the Eigenstate Thermalisation Hypothesis, formulated originally by Deutsch [34] and proven for Wigner matrices in [23], to arbitrary non-Hermitian matrices with an i.i.d. noise. As a consequence we obtain an optimal lower bound on the diagonal overlaps of the corresponding non-Hermitian eigenvectors. This quantity, also known as the (square of the) eigenvalue condition number measuring the sensitivity of the eigenvalue to small perturbations, has notoriously escaped rigorous treatment beyond the explicitly computable Ginibre ensemble apart from the very recent upper bounds given in [7] and [45]. As a key tool, we develop a new systematic decomposition of general observables in random matrix theory that governs the size of products of resolvents with deterministic matrices in between.","lang":"eng"}],"publication_status":"published","status":"public","date_published":"2024-08-15T00:00:00Z","OA_type":"hybrid","month":"08","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","doi":"10.1016/j.jfa.2024.110495","citation":{"chicago":"Cipolloni, Giorgio, László Erdös, Sven Joscha Henheik, and Dominik J Schröder. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110495.","apa":"Cipolloni, G., Erdös, L., Henheik, S. J., & Schröder, D. J. (2024). Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110495","short":"G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (2024).","ama":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 2024;287(4). doi:10.1016/j.jfa.2024.110495","mla":"Cipolloni, Giorgio, et al. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” Journal of Functional Analysis, vol. 287, no. 4, 110495, Elsevier, 2024, doi:10.1016/j.jfa.2024.110495.","ieee":"G. Cipolloni, L. Erdös, S. J. Henheik, and D. J. Schröder, “Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices,” Journal of Functional Analysis, vol. 287, no. 4. Elsevier, 2024.","ista":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. 2024. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 287(4), 110495."},"article_number":"110495","quality_controlled":"1","scopus_import":"1","has_accepted_license":"1","file_date_updated":"2025-06-24T13:14:21Z","_id":"17049","author":[{"orcid":"0000-0002-4901-7992","last_name":"Cipolloni","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","first_name":"Giorgio","full_name":"Cipolloni, Giorgio"},{"orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","first_name":"László","full_name":"Erdös, László"},{"first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","full_name":"Henheik, Sven Joscha"},{"full_name":"Schröder, Dominik J","first_name":"Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87","last_name":"Schröder","orcid":"0000-0002-2904-1856"}],"publisher":"Elsevier","intvolume":" 287","isi":1,"type":"journal_article","related_material":{"record":[{"status":"public","id":"19540","relation":"dissertation_contains"}]},"OA_place":"publisher","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020"}],"publication":"Journal of Functional Analysis","year":"2024","volume":287,"external_id":{"isi":["001325502400001"]},"title":"Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices","article_type":"original","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"article_processing_charge":"Yes (via OA deal)","acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.\r\nSupported by the SNSF Ambizione Grant PZ00P2_209089.","date_created":"2024-05-26T22:00:57Z","department":[{"_id":"LaEr"}]},{"citation":{"ieee":"A. B. Lauritsen and R. Seiringer, “Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion,” Journal of Functional Analysis, vol. 286, no. 7. Elsevier, 2024.","mla":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis, vol. 286, no. 7, 110320, Elsevier, 2024, doi:10.1016/j.jfa.2024.110320.","ista":"Lauritsen AB, Seiringer R. 2024. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 286(7), 110320.","ama":"Lauritsen AB, Seiringer R. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 2024;286(7). doi:10.1016/j.jfa.2024.110320","short":"A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).","apa":"Lauritsen, A. B., & Seiringer, R. (2024). Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110320","chicago":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110320."},"has_accepted_license":"1","scopus_import":"1","quality_controlled":"1","article_number":"110320","author":[{"first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen","full_name":"Lauritsen, Asbjørn Bækgaard"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"_id":"14931","file_date_updated":"2024-07-22T11:11:56Z","publisher":"Elsevier","intvolume":" 286","type":"journal_article","isi":1,"related_material":{"record":[{"id":"18135","status":"public","relation":"dissertation_contains"}]},"year":"2024","publication":"Journal of Functional Analysis","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020"},{"grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"title":"Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion","article_type":"original","external_id":{"isi":["001170294000001"],"arxiv":["2301.04894"]},"volume":286,"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"date_created":"2024-02-04T23:00:53Z","acknowledgement":"A.B.L. would like to thank Johannes Agerskov and Jan Philip Solovej for valuable discussions. We thank Alessandro Giuliani for helpful discussions and for pointing out the reference [18]. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is acknowledged. Financial support by the Austrian Science Fund (FWF) through project number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"RoSe"}],"arxiv":1,"issue":"7","date_updated":"2026-04-16T08:17:56Z","oa_version":"Published Version","language":[{"iso":"eng"}],"ec_funded":1,"oa":1,"day":"01","file":[{"checksum":"ee203cf2dc4420ad90d3c9970d246a78","file_id":"17305","date_created":"2024-07-22T11:11:56Z","file_name":"2024_JourFunctAnalysis_Lauritsen.pdf","file_size":1381063,"success":1,"access_level":"open_access","creator":"dernst","date_updated":"2024-07-22T11:11:56Z","relation":"main_file","content_type":"application/pdf"}],"corr_author":"1","publication_status":"published","abstract":[{"text":"We prove an upper bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactions. One of the main ingredients in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin et al. (1971) [15].","lang":"eng"}],"ddc":["510"],"status":"public","date_published":"2024-04-01T00:00:00Z","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"month":"04","doi":"10.1016/j.jfa.2024.110320","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd"},{"article_processing_charge":"Yes (via OA deal)","date_created":"2023-09-03T22:01:14Z","acknowledgement":"J.P.S. thanks the Institute of Science and Technology Austria for the hospitality and support during a visit where this work was done. J.P.S. was also partially supported by the VILLUM Centre of Excellence for the Mathematics of Quantum Theory (QMATH) (grant No. 10059).","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"department":[{"_id":"RoSe"}],"volume":285,"title":"A simple approach to Lieb-Thirring type inequalities","article_type":"original","external_id":{"isi":["001071552300001"],"arxiv":["2303.04504"]},"publication":"Journal of Functional Analysis","year":"2023","intvolume":" 285","publisher":"Elsevier","isi":1,"type":"journal_article","scopus_import":"1","quality_controlled":"1","article_number":"110129","has_accepted_license":"1","citation":{"ieee":"R. Seiringer and J. P. Solovej, “A simple approach to Lieb-Thirring type inequalities,” Journal of Functional Analysis, vol. 285, no. 10. Elsevier, 2023.","mla":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis, vol. 285, no. 10, 110129, Elsevier, 2023, doi:10.1016/j.jfa.2023.110129.","ista":"Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.","ama":"Seiringer R, Solovej JP. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 2023;285(10). doi:10.1016/j.jfa.2023.110129","short":"R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).","apa":"Seiringer, R., & Solovej, J. P. (2023). A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2023.110129","chicago":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis. Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.110129."},"_id":"14254","file_date_updated":"2024-01-30T14:15:16Z","author":[{"full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Solovej, Jan Philip","last_name":"Solovej","first_name":"Jan Philip"}],"month":"11","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1016/j.jfa.2023.110129","ddc":["510"],"abstract":[{"lang":"eng","text":"In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality."}],"publication_status":"published","date_published":"2023-11-15T00:00:00Z","status":"public","day":"15","corr_author":"1","file":[{"file_name":"2023_JourFunctionalAnalysis_Seiringer.pdf","file_size":232934,"success":1,"checksum":"28e424ad91be6219e9d321054ce3a412","file_id":"14915","date_created":"2024-01-30T14:15:16Z","relation":"main_file","content_type":"application/pdf","access_level":"open_access","creator":"dernst","date_updated":"2024-01-30T14:15:16Z"}],"oa_version":"Published Version","date_updated":"2024-10-09T21:06:47Z","issue":"10","arxiv":1,"language":[{"iso":"eng"}],"oa":1},{"date_published":"2023-08-15T00:00:00Z","status":"public","abstract":[{"text":"This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite-dimensional composite quantum system at positive temperature as a non-commutative entropy regularized Optimal Transport problem. We develop a new approach to fully characterize the dual-primal solutions in such non-commutative setting. The mathematical formalism is particularly relevant in quantum chemistry: numerical realizations of the many-electron ground-state energy can be computed via a non-commutative version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness of this algorithm, which, to our best knowledge, were unknown even in the two marginal case. Our methods are based on a priori estimates in the dual problem, which we believe to be of independent interest. Finally, the above results are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions are enforced on the problem.","lang":"eng"}],"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1016/j.jfa.2023.109963","month":"08","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.11217"}],"ec_funded":1,"language":[{"iso":"eng"}],"oa":1,"date_updated":"2025-04-15T08:31:52Z","oa_version":"Preprint","issue":"4","arxiv":1,"day":"15","volume":285,"external_id":{"arxiv":["2106.11217"],"isi":["000990804300001"]},"title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","article_type":"original","project":[{"name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117","call_identifier":"H2020"},{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227"},{"name":"Taming Complexity in Partial Differential Systems","_id":"260482E2-B435-11E9-9278-68D0E5697425","grant_number":"F06504","call_identifier":"FWF"}],"publication":"Journal of Functional Analysis","year":"2023","related_material":{"record":[{"id":"9792","status":"public","relation":"earlier_version"}]},"department":[{"_id":"RoSe"},{"_id":"JaMa"}],"article_processing_charge":"No","date_created":"2023-05-07T22:01:02Z","acknowledgement":"This work started when A.G. was visiting the Erwin Schrödinger Institute and then continued when D.F. and L.P visited the Theoretical Chemistry Department of the Vrije Universiteit Amsterdam. The authors thank the hospitality of both places and, especially, P. Gori-Giorgi and K. Giesbertz for fruitful discussions and literature suggestions in the early state of the project. The authors also thank J. Maas and R. Seiringer for their feedback and useful comments to a first draft of the article. Finally, we acknowledge the high quality review done by the anonymous referee of our paper, who we would like to thank for the excellent work and constructive feedback.\r\nD.F acknowledges support by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreements No 716117 and No 694227). A.G. acknowledges funding by the HORIZON EUROPE European Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942] as well as partial support of his research by the Canada Research Chairs Program (ID 2021-00234) and Natural Sciences and Engineering Research Council of Canada, RGPIN-2022-05207. L.P. acknowledges support by the Austrian Science Fund (FWF), grants No W1245 and No F65, and by the Deutsche Forschungsgemeinschaft (DFG) - Project number 390685813.","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"_id":"12911","author":[{"last_name":"Feliciangeli","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","first_name":"Dario","full_name":"Feliciangeli, Dario"},{"first_name":"Augusto","last_name":"Gerolin","full_name":"Gerolin, Augusto"},{"first_name":"Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","last_name":"Portinale","full_name":"Portinale, Lorenzo"}],"article_number":"109963","quality_controlled":"1","scopus_import":"1","citation":{"ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. Journal of Functional Analysis. 2023;285(4). doi:10.1016/j.jfa.2023.109963","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” Journal of Functional Analysis, vol. 285, no. 4. Elsevier, 2023.","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” Journal of Functional Analysis, vol. 285, no. 4, 109963, Elsevier, 2023, doi:10.1016/j.jfa.2023.109963.","ista":"Feliciangeli D, Gerolin A, Portinale L. 2023. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. Journal of Functional Analysis. 285(4), 109963.","chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” Journal of Functional Analysis. Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.109963.","apa":"Feliciangeli, D., Gerolin, A., & Portinale, L. (2023). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2023.109963","short":"D. Feliciangeli, A. Gerolin, L. Portinale, Journal of Functional Analysis 285 (2023)."},"isi":1,"type":"journal_article","intvolume":" 285","publisher":"Elsevier"},{"doi":"10.1016/j.jfa.2023.110146","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"month":"12","date_published":"2023-12-01T00:00:00Z","status":"public","publication_status":"published","abstract":[{"text":"Many coupled evolution equations can be described via 2×2-block operator matrices of the form A=[ \r\nA\tB\r\nC\tD\r\n ] in a product space X=X1×X2 with possibly unbounded entries. Here, the case of diagonally dominant block operator matrices is considered, that is, the case where the full operator A can be seen as a relatively bounded perturbation of its diagonal part with D(A)=D(A)×D(D) though with possibly large relative bound. For such operators the properties of sectoriality, R-sectoriality and the boundedness of the H∞-calculus are studied, and for these properties perturbation results for possibly large but structured perturbations are derived. Thereby, the time dependent parabolic problem associated with A can be analyzed in maximal Lpt\r\n-regularity spaces, and this is applied to a wide range of problems such as different theories for liquid crystals, an artificial Stokes system, strongly damped wave and plate equations, and a Keller-Segel model.","lang":"eng"}],"ddc":["510"],"corr_author":"1","file":[{"relation":"main_file","content_type":"application/pdf","date_updated":"2024-01-10T11:23:57Z","access_level":"open_access","creator":"dernst","file_name":"2023_JourFunctionalAnalysis_Agresti.pdf","file_size":1120592,"success":1,"file_id":"14789","date_created":"2024-01-10T11:23:57Z","checksum":"eda98ca2aa73da91bd074baed34c2b3c"}],"day":"01","oa":1,"language":[{"iso":"eng"}],"issue":"11","oa_version":"Published Version","date_updated":"2024-10-09T21:07:48Z","arxiv":1,"department":[{"_id":"JuFi"}],"date_created":"2024-01-10T09:15:18Z","acknowledgement":"We would like to thank Tim Binz, Emiel Lorist and Mark Veraar for valuable discussions. We also thank the anonymous referees for their helpful comments and suggestions, and for the very accurate reading of the manuscript.\r\nThe first author has been supported partially by the Nachwuchsring – Network for the promotion of young scientists – at TU Kaiserslautern. Both authors have been supported by MathApp – Mathematics Applied to Real-World Problems - part of the Research Initiative of the Federal State of Rhineland-Palatinate, Germany.","article_processing_charge":"Yes (via OA deal)","publication_identifier":{"issn":["0022-1236"]},"external_id":{"arxiv":["2108.01962"],"isi":["001081809000001"]},"title":"Maximal Lp-regularity and H∞-calculus for block operator matrices and applications","article_type":"original","volume":285,"year":"2023","publication":"Journal of Functional Analysis","type":"journal_article","isi":1,"intvolume":" 285","publisher":"Elsevier","author":[{"full_name":"Agresti, Antonio","last_name":"Agresti","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","orcid":"0000-0002-9573-2962","first_name":"Antonio"},{"first_name":"Amru","last_name":"Hussein","full_name":"Hussein, Amru"}],"file_date_updated":"2024-01-10T11:23:57Z","_id":"14772","has_accepted_license":"1","scopus_import":"1","article_number":"110146","quality_controlled":"1","citation":{"chicago":"Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus for Block Operator Matrices and Applications.” Journal of Functional Analysis. Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.110146.","short":"A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023).","apa":"Agresti, A., & Hussein, A. (2023). Maximal Lp-regularity and H∞-calculus for block operator matrices and applications. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2023.110146","ama":"Agresti A, Hussein A. Maximal Lp-regularity and H∞-calculus for block operator matrices and applications. Journal of Functional Analysis. 2023;285(11). doi:10.1016/j.jfa.2023.110146","ista":"Agresti A, Hussein A. 2023. Maximal Lp-regularity and H∞-calculus for block operator matrices and applications. Journal of Functional Analysis. 285(11), 110146.","ieee":"A. Agresti and A. Hussein, “Maximal Lp-regularity and H∞-calculus for block operator matrices and applications,” Journal of Functional Analysis, vol. 285, no. 11. Elsevier, 2023.","mla":"Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus for Block Operator Matrices and Applications.” Journal of Functional Analysis, vol. 285, no. 11, 110146, Elsevier, 2023, doi:10.1016/j.jfa.2023.110146."},"keyword":["Analysis"]},{"date_published":"2022-04-15T00:00:00Z","status":"public","publication_status":"published","abstract":[{"text":"We compute the deterministic approximation of products of Sobolev functions of large Wigner matrices W and provide an optimal error bound on their fluctuation with very high probability. This generalizes Voiculescu's seminal theorem from polynomials to general Sobolev functions, as well as from tracial quantities to individual matrix elements. Applying the result to eitW for large t, we obtain a precise decay rate for the overlaps of several deterministic matrices with temporally well separated Heisenberg time evolutions; thus we demonstrate the thermalisation effect of the unitary group generated by Wigner matrices.","lang":"eng"}],"ddc":["500"],"doi":"10.1016/j.jfa.2022.109394","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"month":"04","oa":1,"language":[{"iso":"eng"}],"issue":"8","date_updated":"2024-10-09T21:01:33Z","oa_version":"Published Version","arxiv":1,"corr_author":"1","file":[{"file_name":"2022_JourFunctionalAnalysis_Cipolloni.pdf","file_size":652573,"success":1,"file_id":"11690","date_created":"2022-07-29T07:22:08Z","checksum":"b75fdad606ab507dc61109e0907d86c0","relation":"main_file","content_type":"application/pdf","date_updated":"2022-07-29T07:22:08Z","access_level":"open_access","creator":"dernst"}],"day":"15","article_type":"original","title":"Thermalisation for Wigner matrices","external_id":{"isi":["000781239100004"],"arxiv":["2102.09975"]},"volume":282,"year":"2022","publication":"Journal of Functional Analysis","department":[{"_id":"LaEr"}],"date_created":"2022-02-06T23:01:30Z","acknowledgement":"We compute the deterministic approximation of products of Sobolev functions of large Wigner matrices W and provide an optimal error bound on their fluctuation with very high probability. This generalizes Voiculescu's seminal theorem from polynomials to general Sobolev functions, as well as from tracial quantities to individual matrix elements. Applying the result to for large t, we obtain a precise decay rate for the overlaps of several deterministic matrices with temporally well separated Heisenberg time evolutions; thus we demonstrate the thermalisation effect of the unitary group generated by Wigner matrices.","article_processing_charge":"Yes (via OA deal)","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"author":[{"full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992","last_name":"Cipolloni","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","first_name":"Giorgio"},{"orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","first_name":"László","full_name":"Erdös, László"},{"orcid":"0000-0002-2904-1856","id":"408ED176-F248-11E8-B48F-1D18A9856A87","last_name":"Schröder","first_name":"Dominik J","full_name":"Schröder, Dominik J"}],"_id":"10732","file_date_updated":"2022-07-29T07:22:08Z","has_accepted_license":"1","scopus_import":"1","article_number":"109394","quality_controlled":"1","citation":{"chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Thermalisation for Wigner Matrices.” Journal of Functional Analysis. Elsevier, 2022. https://doi.org/10.1016/j.jfa.2022.109394.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).","apa":"Cipolloni, G., Erdös, L., & Schröder, D. J. (2022). Thermalisation for Wigner matrices. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2022.109394","ama":"Cipolloni G, Erdös L, Schröder DJ. Thermalisation for Wigner matrices. Journal of Functional Analysis. 2022;282(8). doi:10.1016/j.jfa.2022.109394","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Thermalisation for Wigner matrices,” Journal of Functional Analysis, vol. 282, no. 8. Elsevier, 2022.","mla":"Cipolloni, Giorgio, et al. “Thermalisation for Wigner Matrices.” Journal of Functional Analysis, vol. 282, no. 8, 109394, Elsevier, 2022, doi:10.1016/j.jfa.2022.109394.","ista":"Cipolloni G, Erdös L, Schröder DJ. 2022. Thermalisation for Wigner matrices. Journal of Functional Analysis. 282(8), 109394."},"type":"journal_article","isi":1,"intvolume":" 282","publisher":"Elsevier"},{"month":"06","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","doi":"10.1016/j.jfa.2022.109441","ddc":["510"],"abstract":[{"text":"We introduce a new way of representing logarithmically concave functions on Rd. It allows us to extend the notion of the largest volume ellipsoid contained in a convex body to the setting of logarithmically concave functions as follows. For every s>0, we define a class of non-negative functions on Rd derived from ellipsoids in Rd+1. For any log-concave function f on Rd , and any fixed s>0, we consider functions belonging to this class, and find the one with the largest integral under the condition that it is pointwise less than or equal to f, and we call it the John s-function of f. After establishing existence and uniqueness, we give a characterization of this function similar to the one given by John in his fundamental theorem. We find that John s-functions converge to characteristic functions of ellipsoids as s tends to zero and to Gaussian densities as s tends to infinity.\r\nAs an application, we prove a quantitative Helly type result: the integral of the pointwise minimum of any family of log-concave functions is at least a constant cd multiple of the integral of the pointwise minimum of a properly chosen subfamily of size 3d+2, where cd depends only on d.","lang":"eng"}],"publication_status":"published","date_published":"2022-06-01T00:00:00Z","status":"public","day":"01","corr_author":"1","file":[{"date_updated":"2022-08-02T10:40:48Z","creator":"dernst","access_level":"open_access","content_type":"application/pdf","relation":"main_file","date_created":"2022-08-02T10:40:48Z","file_id":"11721","checksum":"1cf185e264e04c87cb1ce67a00db88ab","success":1,"file_size":734482,"file_name":"2022_JourFunctionalAnalysis_Ivanov.pdf"}],"date_updated":"2024-10-09T21:01:51Z","oa_version":"Published Version","issue":"11","arxiv":1,"oa":1,"language":[{"iso":"eng"}],"article_processing_charge":"Yes (via OA deal)","acknowledgement":"G.I. was supported by the Ministry of Education and Science of the Russian Federation in the framework of MegaGrant no 075-15-2019-1926. M.N. was supported by the National Research, Development and Innovation Fund (NRDI) grants K119670 and KKP-133864 as well as the Bolyai Scholarship of the Hungarian Academy of Sciences and the New National Excellence Programme and the TKP2020-NKA-06 program provided by the NRDI. ","date_created":"2022-03-20T23:01:38Z","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"department":[{"_id":"UlWa"}],"volume":282,"article_type":"original","title":"Functional John ellipsoids","external_id":{"isi":["000781371300008"],"arxiv":["2006.09934"]},"publication":"Journal of Functional Analysis","year":"2022","intvolume":" 282","publisher":"Elsevier","isi":1,"type":"journal_article","article_number":"109441","quality_controlled":"1","scopus_import":"1","has_accepted_license":"1","citation":{"mla":"Ivanov, Grigory, and Márton Naszódi. “Functional John Ellipsoids.” Journal of Functional Analysis, vol. 282, no. 11, 109441, Elsevier, 2022, doi:10.1016/j.jfa.2022.109441.","ista":"Ivanov G, Naszódi M. 2022. Functional John ellipsoids. Journal of Functional Analysis. 282(11), 109441.","ieee":"G. Ivanov and M. Naszódi, “Functional John ellipsoids,” Journal of Functional Analysis, vol. 282, no. 11. Elsevier, 2022.","ama":"Ivanov G, Naszódi M. Functional John ellipsoids. Journal of Functional Analysis. 2022;282(11). doi:10.1016/j.jfa.2022.109441","short":"G. Ivanov, M. Naszódi, Journal of Functional Analysis 282 (2022).","apa":"Ivanov, G., & Naszódi, M. (2022). Functional John ellipsoids. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2022.109441","chicago":"Ivanov, Grigory, and Márton Naszódi. “Functional John Ellipsoids.” Journal of Functional Analysis. Elsevier, 2022. https://doi.org/10.1016/j.jfa.2022.109441."},"_id":"10887","file_date_updated":"2022-08-02T10:40:48Z","author":[{"last_name":"Ivanov","id":"87744F66-5C6F-11EA-AFE0-D16B3DDC885E","first_name":"Grigory","full_name":"Ivanov, Grigory"},{"full_name":"Naszódi, Márton","last_name":"Naszódi","first_name":"Márton"}]},{"article_processing_charge":"Yes (via OA deal)","acknowledgement":"We thank Rupert Frank for contributing Appendix B. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 is gratefully acknowledged.","date_created":"2022-03-16T08:41:53Z","publication_identifier":{"issn":["0022-1236"]},"department":[{"_id":"GradSch"},{"_id":"RoSe"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"14374"}]},"volume":282,"title":"Two-particle bound states at interfaces and corners","external_id":{"arxiv":["2105.04874"],"isi":["000795160200009"]},"article_type":"original","publication":"Journal of Functional Analysis","project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"}],"year":"2022","intvolume":" 282","publisher":"Elsevier","isi":1,"type":"journal_article","quality_controlled":"1","scopus_import":"1","article_number":"109455","has_accepted_license":"1","keyword":["Analysis"],"citation":{"chicago":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis. Elsevier, 2022. https://doi.org/10.1016/j.jfa.2022.109455.","apa":"Roos, B., & Seiringer, R. (2022). Two-particle bound states at interfaces and corners. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2022.109455","short":"B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).","ama":"Roos B, Seiringer R. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 2022;282(12). doi:10.1016/j.jfa.2022.109455","ista":"Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455.","ieee":"B. Roos and R. Seiringer, “Two-particle bound states at interfaces and corners,” Journal of Functional Analysis, vol. 282, no. 12. Elsevier, 2022.","mla":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis, vol. 282, no. 12, 109455, Elsevier, 2022, doi:10.1016/j.jfa.2022.109455."},"file_date_updated":"2022-08-02T10:37:55Z","_id":"10850","author":[{"first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","last_name":"Roos","orcid":"0000-0002-9071-5880","full_name":"Roos, Barbara"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"month":"06","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","doi":"10.1016/j.jfa.2022.109455","ddc":["510"],"abstract":[{"text":"We study two interacting quantum particles forming a bound state in d-dimensional free\r\nspace, and constrain the particles in k directions to (0, ∞)k ×Rd−k, with Neumann boundary\r\nconditions. First, we prove that the ground state energy strictly decreases upon going from k\r\nto k+1. This shows that the particles stick to the corner where all boundary planes intersect.\r\nSecond, we show that for all k the resulting Hamiltonian, after removing the free part of the\r\nkinetic energy, has only finitely many eigenvalues below the essential spectrum. This paper\r\ngeneralizes the work of Egger, Kerner and Pankrashkin (J. Spectr. Theory 10(4):1413–1444,\r\n2020) to dimensions d > 1.","lang":"eng"}],"publication_status":"published","date_published":"2022-06-15T00:00:00Z","status":"public","day":"15","corr_author":"1","file":[{"file_name":"2022_JourFunctionalAnalysis_Roos.pdf","file_size":631391,"success":1,"checksum":"63efcefaa1f2717244ef5407bd564426","file_id":"11720","date_created":"2022-08-02T10:37:55Z","relation":"main_file","content_type":"application/pdf","access_level":"open_access","creator":"dernst","date_updated":"2022-08-02T10:37:55Z"}],"oa_version":"Published Version","date_updated":"2026-04-07T13:27:39Z","issue":"12","arxiv":1,"language":[{"iso":"eng"}],"oa":1,"ec_funded":1},{"day":"15","corr_author":"1","date_updated":"2025-06-25T07:41:05Z","oa_version":"Published Version","issue":"6","language":[{"iso":"eng"}],"oa":1,"main_file_link":[{"url":"https://doi.org/10.1016/j.jfa.2020.108848","open_access":"1"}],"OA_type":"free access","month":"03","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1016/j.jfa.2020.108848","publication_status":"published","abstract":[{"text":"In this article, we study uniqueness of form extensions in a rather general setting. The method is based on the theory of ordered Hilbert spaces and the concept of domination of semigroups. Our main abstract result transfers uniqueness of form extension of a dominating form to that of a dominated form. This result can be applied to a multitude of examples including various magnetic Schrödinger forms on graphs and on manifolds.","lang":"eng"}],"status":"public","date_published":"2021-03-15T00:00:00Z","publisher":"Elsevier","intvolume":" 280","type":"journal_article","keyword":["Analysis"],"citation":{"chicago":"Lenz, Daniel, Marcel Schmidt, and Melchior Wirth. “Uniqueness of Form Extensions and Domination of Semigroups.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2020.108848.","apa":"Lenz, D., Schmidt, M., & Wirth, M. (2021). Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2020.108848","short":"D. Lenz, M. Schmidt, M. Wirth, Journal of Functional Analysis 280 (2021).","ama":"Lenz D, Schmidt M, Wirth M. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 2021;280(6). doi:10.1016/j.jfa.2020.108848","ieee":"D. Lenz, M. Schmidt, and M. Wirth, “Uniqueness of form extensions and domination of semigroups,” Journal of Functional Analysis, vol. 280, no. 6. Elsevier, 2021.","ista":"Lenz D, Schmidt M, Wirth M. 2021. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 280(6), 108848.","mla":"Lenz, Daniel, et al. “Uniqueness of Form Extensions and Domination of Semigroups.” Journal of Functional Analysis, vol. 280, no. 6, 108848, Elsevier, 2021, doi:10.1016/j.jfa.2020.108848."},"quality_controlled":"1","article_number":"108848","scopus_import":"1","_id":"15261","author":[{"full_name":"Lenz, Daniel","last_name":"Lenz","first_name":"Daniel"},{"last_name":"Schmidt","first_name":"Marcel","full_name":"Schmidt, Marcel"},{"full_name":"Wirth, Melchior","first_name":"Melchior","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","last_name":"Wirth","orcid":"0000-0002-0519-4241"}],"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"article_processing_charge":"No","date_created":"2024-04-03T07:24:57Z","department":[{"_id":"JaMa"}],"OA_place":"publisher","publication":"Journal of Functional Analysis","year":"2021","volume":280,"article_type":"original","title":"Uniqueness of form extensions and domination of semigroups"},{"oa_version":"Preprint","date_updated":"2025-04-14T07:27:45Z","issue":"11","arxiv":1,"ec_funded":1,"language":[{"iso":"eng"}],"oa":1,"day":"15","corr_author":"1","abstract":[{"text":"We extensively discuss the Rademacher and Sobolev-to-Lipschitz properties for generalized intrinsic distances on strongly local Dirichlet spaces possibly without square field operator. We present many non-smooth and infinite-dimensional examples. As an application, we prove the integral Varadhan short-time asymptotic with respect to a given distance function for a large class of strongly local Dirichlet forms.","lang":"eng"}],"publication_status":"published","date_published":"2021-09-15T00:00:00Z","status":"public","month":"09","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2008.01492"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","doi":"10.1016/j.jfa.2021.109234","quality_controlled":"1","scopus_import":"1","article_number":"109234","citation":{"mla":"Dello Schiavo, Lorenzo, and Kohei Suzuki. “Rademacher-Type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces.” Journal of Functional Analysis, vol. 281, no. 11, 109234, Elsevier, 2021, doi:10.1016/j.jfa.2021.109234.","ieee":"L. Dello Schiavo and K. Suzuki, “Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces,” Journal of Functional Analysis, vol. 281, no. 11. Elsevier, 2021.","ista":"Dello Schiavo L, Suzuki K. 2021. Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. Journal of Functional Analysis. 281(11), 109234.","ama":"Dello Schiavo L, Suzuki K. Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. Journal of Functional Analysis. 2021;281(11). doi:10.1016/j.jfa.2021.109234","apa":"Dello Schiavo, L., & Suzuki, K. (2021). Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109234","short":"L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).","chicago":"Dello Schiavo, Lorenzo, and Kohei Suzuki. “Rademacher-Type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109234."},"_id":"10070","author":[{"id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","last_name":"Dello Schiavo","orcid":"0000-0002-9881-6870","first_name":"Lorenzo","full_name":"Dello Schiavo, Lorenzo"},{"first_name":"Kohei","last_name":"Suzuki","full_name":"Suzuki, Kohei"}],"intvolume":" 281","publisher":"Elsevier","isi":1,"type":"journal_article","volume":281,"title":"Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces","external_id":{"arxiv":["2008.01492"],"isi":["000703896600005"]},"article_type":"original","publication":"Journal of Functional Analysis","project":[{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"},{"call_identifier":"H2020","grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics"}],"year":"2021","article_processing_charge":"No","acknowledgement":"The authors are grateful to Professor Kazuhiro Kuwae for kindly providing a copy of [49]. They are also grateful to Dr. Bang-Xian Han for helpful discussions on the Sobolev-to-Lipschitz property on metric measure spaces. They wish to express their deepest gratitude to an anonymous Reviewer, whose punctual remarks and comments greatly improved the accessibility and overall quality of the initial submission. This work was completed while L.D.S. was a member of the Institut für Angewandte Mathematik of the University of Bonn. He acknowledges funding of his position at that time by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Sonderforschungsbereich (Sfb, Collaborative Research Center) 1060 - project number 211504053. He also acknowledges funding of his current 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). K.S. gratefully acknowledges funding by: the JSPS Overseas Research Fellowships, Grant Nr. 290142; World Premier International Research Center Initiative (WPI), MEXT, Japan; and JSPS Grant-in-Aid for Scientific Research on Innovative Areas “Discrete Geometric Analysis for Materials Design”, Grant Number 17H06465.","date_created":"2021-10-03T22:01:21Z","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"department":[{"_id":"JaMa"}]},{"day":"07","oa":1,"language":[{"iso":"eng"}],"arxiv":1,"issue":"3","date_updated":"2023-08-08T13:15:11Z","oa_version":"Preprint","doi":"10.1016/j.jfa.2021.109029","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","main_file_link":[{"url":"https://arxiv.org/abs/1911.03187","open_access":"1"}],"month":"04","status":"public","date_published":"2021-04-07T00:00:00Z","publication_status":"published","abstract":[{"lang":"eng","text":"We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension."}],"type":"journal_article","isi":1,"publisher":"Elsevier","intvolume":" 281","author":[{"last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","first_name":"Morris","full_name":"Brooks, Morris"},{"full_name":"Di Gesù, Giacomo","first_name":"Giacomo","last_name":"Di Gesù"}],"_id":"9348","citation":{"apa":"Brooks, M., & Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109029","short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).","chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109029.","mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis, vol. 281, no. 3, 109029, Elsevier, 2021, doi:10.1016/j.jfa.2021.109029.","ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” Journal of Functional Analysis, vol. 281, no. 3. Elsevier, 2021.","ista":"Brooks M, Di Gesù G. 2021. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 281(3), 109029.","ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 2021;281(3). doi:10.1016/j.jfa.2021.109029"},"scopus_import":"1","quality_controlled":"1","article_number":"109029","department":[{"_id":"RoSe"}],"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"date_created":"2021-04-25T22:01:29Z","acknowledgement":"GDG gratefully acknowledges the financial support of HIM Bonn in the framework of the 2019 Junior Trimester Programs “Kinetic Theory” and “Randomness, PDEs and Nonlinear Fluctuations” and the hospitality at the University of Rome La Sapienza during his frequent visits.","article_processing_charge":"No","year":"2021","publication":"Journal of Functional Analysis","external_id":{"arxiv":["1911.03187"],"isi":["000644702800005"]},"title":"Sharp tunneling estimates for a double-well model in infinite dimension","article_type":"original","volume":281},{"department":[{"_id":"RoSe"}],"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"acknowledgement":"Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 (R.S.) and under the Marie Sklodowska-Curie grant agreement No 836146 (A.D.) is gratefully acknowledged. A.D. acknowledges support of the Swiss National Science Foundation through the Ambizione grant PZ00P2 185851.","date_created":"2021-06-06T22:01:28Z","article_processing_charge":"No","year":"2021","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227"}],"publication":"Journal of Functional Analysis","article_type":"original","title":"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons","external_id":{"arxiv":["2009.00992"],"isi":["000656508600008"]},"volume":281,"type":"journal_article","isi":1,"publisher":"Elsevier","intvolume":" 281","author":[{"last_name":"Deuchert","first_name":"Andreas","full_name":"Deuchert, Andreas"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"_id":"9462","citation":{"ama":"Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 2021;281(6). doi:10.1016/j.jfa.2021.109096","ieee":"A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons,” Journal of Functional Analysis, vol. 281, no. 6. Elsevier, 2021.","ista":"Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.","mla":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis, vol. 281, no. 6, 109096, Elsevier, 2021, doi:10.1016/j.jfa.2021.109096.","chicago":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109096.","apa":"Deuchert, A., & Seiringer, R. (2021). Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109096","short":"A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021)."},"article_number":"109096","scopus_import":"1","quality_controlled":"1","doi":"10.1016/j.jfa.2021.109096","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","main_file_link":[{"url":"https://arxiv.org/abs/2009.00992","open_access":"1"}],"month":"09","status":"public","date_published":"2021-09-15T00:00:00Z","abstract":[{"lang":"eng","text":"We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy functional – a natural extension of the Hartree energy functional to positive temperatures. The Hartree free energy functional converges in the same limit to a semiclassical free energy functional, and we show that the system displays Bose–Einstein condensation if and only if it occurs in the semiclassical free energy functional. This allows us to show that for weak coupling the critical temperature decreases due to the repulsive interactions."}],"publication_status":"published","day":"15","language":[{"iso":"eng"}],"oa":1,"ec_funded":1,"arxiv":1,"issue":"6","date_updated":"2025-04-14T07:26:53Z","oa_version":"Preprint"},{"publication_identifier":{"issn":["0022-1236"]},"article_processing_charge":"No","date_created":"2022-03-18T10:18:59Z","acknowledgement":"Partially supported by ERC Advanced Grant RANMAT No. 338804.","department":[{"_id":"LaEr"}],"publication":"Journal of Functional Analysis","project":[{"name":"Random matrices, universality and disordered quantum systems","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"338804"}],"year":"2020","volume":279,"external_id":{"arxiv":["1708.01597"],"isi":["000559623200009"]},"title":"Spectral rigidity for addition of random matrices at the regular edge","article_type":"original","publisher":"Elsevier","intvolume":" 279","isi":1,"type":"journal_article","keyword":["Analysis"],"citation":{"short":"Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).","apa":"Bao, Z., Erdös, L., & Schnelli, K. (2020). Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2020.108639","chicago":"Bao, Zhigang, László Erdös, and Kevin Schnelli. “Spectral Rigidity for Addition of Random Matrices at the Regular Edge.” Journal of Functional Analysis. Elsevier, 2020. https://doi.org/10.1016/j.jfa.2020.108639.","mla":"Bao, Zhigang, et al. “Spectral Rigidity for Addition of Random Matrices at the Regular Edge.” Journal of Functional Analysis, vol. 279, no. 7, 108639, Elsevier, 2020, doi:10.1016/j.jfa.2020.108639.","ista":"Bao Z, Erdös L, Schnelli K. 2020. Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. 279(7), 108639.","ieee":"Z. Bao, L. Erdös, and K. Schnelli, “Spectral rigidity for addition of random matrices at the regular edge,” Journal of Functional Analysis, vol. 279, no. 7. Elsevier, 2020.","ama":"Bao Z, Erdös L, Schnelli K. Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. 2020;279(7). doi:10.1016/j.jfa.2020.108639"},"article_number":"108639","scopus_import":"1","quality_controlled":"1","_id":"10862","author":[{"first_name":"Zhigang","id":"442E6A6C-F248-11E8-B48F-1D18A9856A87","last_name":"Bao","orcid":"0000-0003-3036-1475","full_name":"Bao, Zhigang"},{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","orcid":"0000-0001-5366-9603","full_name":"Erdös, László"},{"full_name":"Schnelli, Kevin","last_name":"Schnelli","first_name":"Kevin"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1708.01597"}],"month":"10","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","doi":"10.1016/j.jfa.2020.108639","publication_status":"published","abstract":[{"lang":"eng","text":"We consider the sum of two large Hermitian matrices A and B with a Haar unitary conjugation bringing them into a general relative position. We prove that the eigenvalue density on the scale slightly above the local eigenvalue spacing is asymptotically given by the free additive convolution of the laws of A and B as the dimension of the matrix increases. This implies optimal rigidity of the eigenvalues and optimal rate of convergence in Voiculescu's theorem. Our previous works [4], [5] established these results in the bulk spectrum, the current paper completely settles the problem at the spectral edges provided they have the typical square-root behavior. The key element of our proof is to compensate the deterioration of the stability of the subordination equations by sharp error estimates that properly account for the local density near the edge. Our results also hold if the Haar unitary matrix is replaced by the Haar orthogonal matrix."}],"status":"public","date_published":"2020-10-15T00:00:00Z","day":"15","corr_author":"1","arxiv":1,"oa_version":"Preprint","date_updated":"2025-04-15T08:05:01Z","issue":"7","ec_funded":1,"language":[{"iso":"eng"}],"oa":1},{"ec_funded":1,"oa":1,"language":[{"iso":"eng"}],"issue":"12","date_updated":"2025-07-10T11:54:43Z","oa_version":"Preprint","arxiv":1,"day":"01","date_published":"2020-07-01T00:00:00Z","status":"public","abstract":[{"lang":"eng","text":"We consider general self-adjoint polynomials in several independent random matrices whose entries are centered and have the same variance. We show that under certain conditions the local law holds up to the optimal scale, i.e., the eigenvalue density on scales just above the eigenvalue spacing follows the global density of states which is determined by free probability theory. We prove that these conditions hold for general homogeneous polynomials of degree two and for symmetrized products of independent matrices with i.i.d. entries, thus establishing the optimal bulk local law for these classes of ensembles. In particular, we generalize a similar result of Anderson for anticommutator. For more general polynomials our conditions are effectively checkable numerically."}],"publication_status":"published","doi":"10.1016/j.jfa.2020.108507","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"07","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1804.11340"}],"author":[{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","full_name":"Erdös, László"},{"first_name":"Torben H","orcid":"0000-0002-4821-3297","last_name":"Krüger","id":"3020C786-F248-11E8-B48F-1D18A9856A87","full_name":"Krüger, Torben H"},{"full_name":"Nemish, Yuriy","first_name":"Yuriy","last_name":"Nemish","id":"4D902E6A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7327-856X"}],"_id":"7512","scopus_import":"1","quality_controlled":"1","article_number":"108507","citation":{"chicago":"Erdös, László, Torben H Krüger, and Yuriy Nemish. “Local Laws for Polynomials of Wigner Matrices.” Journal of Functional Analysis. Elsevier, 2020. https://doi.org/10.1016/j.jfa.2020.108507.","apa":"Erdös, L., Krüger, T. H., & Nemish, Y. (2020). Local laws for polynomials of Wigner matrices. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2020.108507","short":"L. Erdös, T.H. Krüger, Y. Nemish, Journal of Functional Analysis 278 (2020).","ama":"Erdös L, Krüger TH, Nemish Y. Local laws for polynomials of Wigner matrices. Journal of Functional Analysis. 2020;278(12). doi:10.1016/j.jfa.2020.108507","mla":"Erdös, László, et al. “Local Laws for Polynomials of Wigner Matrices.” Journal of Functional Analysis, vol. 278, no. 12, 108507, Elsevier, 2020, doi:10.1016/j.jfa.2020.108507.","ista":"Erdös L, Krüger TH, Nemish Y. 2020. Local laws for polynomials of Wigner matrices. Journal of Functional Analysis. 278(12), 108507.","ieee":"L. Erdös, T. H. Krüger, and Y. Nemish, “Local laws for polynomials of Wigner matrices,” Journal of Functional Analysis, vol. 278, no. 12. Elsevier, 2020."},"type":"journal_article","isi":1,"intvolume":" 278","publisher":"Elsevier","article_type":"original","external_id":{"arxiv":["1804.11340"],"isi":["000522798900001"]},"title":"Local laws for polynomials of Wigner matrices","volume":278,"year":"2020","publication":"Journal of Functional Analysis","project":[{"call_identifier":"FP7","grant_number":"338804","name":"Random matrices, universality and disordered quantum systems","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"}],"department":[{"_id":"LaEr"}],"acknowledgement":"The authors are grateful to Oskari Ajanki for his invaluable help at the initial stage of this project, to Serban Belinschi for useful discussions, to Alexander Tikhomirov for calling our attention to the model example in Section 6.2 and to the anonymous referee for suggesting to simplify certain proofs. Erdös: Partially funded by ERC Advanced Grant RANMAT No. 338804\r\n","date_created":"2020-02-23T23:00:36Z","article_processing_charge":"No","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]}},{"day":"01","arxiv":1,"date_updated":"2025-06-04T08:14:53Z","oa_version":"Submitted Version","issue":"5","oa":1,"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1609.01254","open_access":"1"}],"month":"09","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1016/j.jfa.2017.05.003","publication_status":"published","abstract":[{"lang":"eng","text":"We study a class of ergodic quantum Markov semigroups on finite-dimensional unital C⁎-algebras. These semigroups have a unique stationary state σ, and we are concerned with those that satisfy a quantum detailed balance condition with respect to σ. We show that the evolution on the set of states that is given by such a quantum Markov semigroup is gradient flow for the relative entropy with respect to σ in a particular Riemannian metric on the set of states. This metric is a non-commutative analog of the 2-Wasserstein metric, and in several interesting cases we are able to show, in analogy with work of Otto on gradient flows with respect to the classical 2-Wasserstein metric, that the relative entropy is strictly and uniformly convex with respect to the Riemannian metric introduced here. As a consequence, we obtain a number of new inequalities for the decay of relative entropy for ergodic quantum Markov semigroups with detailed balance."}],"status":"public","date_published":"2017-09-01T00:00:00Z","publisher":"Academic Press","intvolume":" 273","isi":1,"type":"journal_article","citation":{"short":"E. Carlen, J. Maas, Journal of Functional Analysis 273 (2017) 1810–1869.","apa":"Carlen, E., & Maas, J. (2017). Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. Journal of Functional Analysis. Academic Press. https://doi.org/10.1016/j.jfa.2017.05.003","chicago":"Carlen, Eric, and Jan Maas. “Gradient Flow and Entropy Inequalities for Quantum Markov Semigroups with Detailed Balance.” Journal of Functional Analysis. Academic Press, 2017. https://doi.org/10.1016/j.jfa.2017.05.003.","ieee":"E. Carlen and J. Maas, “Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance,” Journal of Functional Analysis, vol. 273, no. 5. Academic Press, pp. 1810–1869, 2017.","mla":"Carlen, Eric, and Jan Maas. “Gradient Flow and Entropy Inequalities for Quantum Markov Semigroups with Detailed Balance.” Journal of Functional Analysis, vol. 273, no. 5, Academic Press, 2017, pp. 1810–69, doi:10.1016/j.jfa.2017.05.003.","ista":"Carlen E, Maas J. 2017. Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. Journal of Functional Analysis. 273(5), 1810–1869.","ama":"Carlen E, Maas J. Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. Journal of Functional Analysis. 2017;273(5):1810-1869. doi:10.1016/j.jfa.2017.05.003"},"scopus_import":"1","quality_controlled":"1","_id":"956","author":[{"full_name":"Carlen, Eric","first_name":"Eric","last_name":"Carlen"},{"first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas","orcid":"0000-0002-0845-1338","full_name":"Maas, Jan"}],"publication_identifier":{"issn":["0022-1236"]},"article_processing_charge":"No","date_created":"2018-12-11T11:49:24Z","department":[{"_id":"JaMa"}],"publist_id":"6452","page":"1810 - 1869","publication":"Journal of Functional Analysis","year":"2017","volume":273,"title":"Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance","external_id":{"arxiv":["1609.01254"],"isi":["000406082300005"]}},{"publication":"Journal of Functional Analysis","year":"2005","status":"public","volume":229,"date_published":"2005-12-01T00:00:00Z","article_type":"original","title":"On diffusion in high-dimensional Hamiltonian systems","extern":"1","publication_status":"published","page":"1-61","abstract":[{"text":"The purpose of this paper is to construct examples of diffusion for E-Hamiltonian perturbations\r\nof completely integrable Hamiltonian systems in 2d-dimensional phase space, with d large.\r\nIn the first part of the paper, simple and explicit examples are constructed illustrating absence\r\nof ‘long-time’ stability for size E Hamiltonian perturbations of quasi-convex integrable systems\r\nalready when the dimension 2d of phase space becomes as large as log 1/E . We first produce\r\nthe example in Gevrey class and then a real analytic one, with some additional work.\r\nIn the second part, we consider again E-Hamiltonian perturbations of completely integrable\r\nHamiltonian system in 2d-dimensional space with E-small but not too small, |E| > exp(−d), with\r\nd the number of degrees of freedom assumed large. It is shown that for a class of analytic\r\ntime-periodic perturbations, there exist linearly diffusing trajectories. The underlying idea for\r\nboth examples is similar and consists in coupling a fixed degree of freedom with a large\r\nnumber of them. The procedure and analytical details are however significantly different. As\r\nmentioned, the construction in Part I is totally elementary while Part II is more involved, relying\r\nin particular on the theory of normally hyperbolic invariant manifolds, methods of generating\r\nfunctions, Aubry–Mather theory, and Mather’s variational methods.","lang":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1016/j.jfa.2004.09.006","publication_identifier":{"issn":["0022-1236"]},"month":"12","article_processing_charge":"No","date_created":"2020-09-18T10:49:06Z","language":[{"iso":"eng"}],"_id":"8516","author":[{"full_name":"Bourgain, Jean","last_name":"Bourgain","first_name":"Jean"},{"full_name":"Kaloshin, Vadim","orcid":"0000-0002-6051-2628","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","last_name":"Kaloshin","first_name":"Vadim"}],"keyword":["Analysis"],"citation":{"mla":"Bourgain, Jean, and Vadim Kaloshin. “On Diffusion in High-Dimensional Hamiltonian Systems.” Journal of Functional Analysis, vol. 229, no. 1, Elsevier, 2005, pp. 1–61, doi:10.1016/j.jfa.2004.09.006.","ieee":"J. Bourgain and V. Kaloshin, “On diffusion in high-dimensional Hamiltonian systems,” Journal of Functional Analysis, vol. 229, no. 1. Elsevier, pp. 1–61, 2005.","ista":"Bourgain J, Kaloshin V. 2005. On diffusion in high-dimensional Hamiltonian systems. Journal of Functional Analysis. 229(1), 1–61.","ama":"Bourgain J, Kaloshin V. On diffusion in high-dimensional Hamiltonian systems. Journal of Functional Analysis. 2005;229(1):1-61. doi:10.1016/j.jfa.2004.09.006","apa":"Bourgain, J., & Kaloshin, V. (2005). On diffusion in high-dimensional Hamiltonian systems. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2004.09.006","short":"J. Bourgain, V. Kaloshin, Journal of Functional Analysis 229 (2005) 1–61.","chicago":"Bourgain, Jean, and Vadim Kaloshin. “On Diffusion in High-Dimensional Hamiltonian Systems.” Journal of Functional Analysis. Elsevier, 2005. https://doi.org/10.1016/j.jfa.2004.09.006."},"quality_controlled":"1","oa_version":"None","date_updated":"2021-01-12T08:19:49Z","issue":"1","type":"journal_article","publisher":"Elsevier","day":"01","intvolume":" 229"}]