[{"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa_version":"Published Version","scopus_import":"1","quality_controlled":"1","publication_identifier":{"eissn":["2050-5094"]},"doi":"10.1017/fms.2024.145","status":"public","type":"journal_article","arxiv":1,"article_processing_charge":"Yes","ddc":["510"],"OA_place":"publisher","_id":"19628","title":"Enhanced superconductivity at a corner for the linear BCS equation","citation":{"ieee":"B. Roos and R. Seiringer, “Enhanced superconductivity at a corner for the linear BCS equation,” <i>Forum of Mathematics, Sigma</i>, vol. 13. Cambridge University Press, 2025.","apa":"Roos, B., &#38; Seiringer, R. (2025). Enhanced superconductivity at a corner for the linear BCS equation. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2024.145\">https://doi.org/10.1017/fms.2024.145</a>","mla":"Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” <i>Forum of Mathematics, Sigma</i>, vol. 13, e71, Cambridge University Press, 2025, doi:<a href=\"https://doi.org/10.1017/fms.2024.145\">10.1017/fms.2024.145</a>.","ama":"Roos B, Seiringer R. Enhanced superconductivity at a corner for the linear BCS equation. <i>Forum of Mathematics, Sigma</i>. 2025;13. doi:<a href=\"https://doi.org/10.1017/fms.2024.145\">10.1017/fms.2024.145</a>","chicago":"Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2025. <a href=\"https://doi.org/10.1017/fms.2024.145\">https://doi.org/10.1017/fms.2024.145</a>.","ista":"Roos B, Seiringer R. 2025. Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. 13, e71.","short":"B. Roos, R. Seiringer, Forum of Mathematics, Sigma 13 (2025)."},"has_accepted_license":"1","publication":"Forum of Mathematics, Sigma","publisher":"Cambridge University Press","department":[{"_id":"RoSe"}],"file":[{"access_level":"open_access","relation":"main_file","date_created":"2025-05-05T09:41:42Z","content_type":"application/pdf","file_size":631645,"creator":"dernst","file_id":"19651","checksum":"b0919b3a14f2cb39f8df0e3f41b8d6f1","success":1,"date_updated":"2025-05-05T09:41:42Z","file_name":"2025_ForumMathSigma_Roos.pdf"}],"day":"14","date_updated":"2025-09-30T12:20:22Z","OA_type":"gold","DOAJ_listed":"1","PlanS_conform":"1","project":[{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","grant_number":"I06427","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"corr_author":"1","external_id":{"arxiv":["2308.07115"],"isi":["001465985500001"]},"article_number":"e71","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","author":[{"last_name":"Roos","first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880","full_name":"Roos, Barbara"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"year":"2025","article_type":"original","file_date_updated":"2025-05-05T09:41:42Z","date_published":"2025-04-14T00:00:00Z","date_created":"2025-04-27T22:02:14Z","license":"https://creativecommons.org/licenses/by/4.0/","language":[{"iso":"eng"}],"oa":1,"isi":1,"intvolume":"        13","abstract":[{"text":"We consider the critical temperature for superconductivity, defined via the linear BCS equation. We prove that at weak coupling the critical temperature for a sample confined to a quadrant in two dimensions is strictly larger than the one for a half-space, which in turn is strictly larger than the one for  R^2. Furthermore, we prove that the relative difference of the critical temperatures vanishes in the weak coupling limit.","lang":"eng"}],"month":"04","volume":13},{"project":[{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"corr_author":"1","external_id":{"arxiv":["2203.02454"],"isi":["001005008800001"]},"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","author":[{"first_name":"David Johannes","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy","first_name":"Krzysztof"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"article_type":"original","year":"2023","file_date_updated":"2023-07-03T10:36:25Z","date_published":"2023-06-13T00:00:00Z","date_created":"2023-07-02T22:00:43Z","isi":1,"oa":1,"language":[{"iso":"eng"}],"acknowledgement":"This research was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.).","intvolume":"        11","abstract":[{"text":"We consider the large polaron described by the Fröhlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal parabolic upper bound for the energy-momentum relation in the limit of strong coupling. The upper bound consists of a momentum independent term that agrees with the predicted two-term expansion for the ground state energy of the strongly coupled polaron at rest and a term that is quadratic in the momentum with coefficient given by the inverse of twice the classical effective mass introduced by Landau and Pekar.","lang":"eng"}],"month":"06","volume":11,"page":"1-52","oa_version":"Published Version","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","scopus_import":"1","quality_controlled":"1","publication_identifier":{"eissn":["2050-5094"]},"doi":"10.1017/fms.2023.45","ec_funded":1,"status":"public","type":"journal_article","article_processing_charge":"Yes","arxiv":1,"ddc":["500"],"_id":"13178","title":"Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron","citation":{"ieee":"D. J. Mitrouskas, K. Mysliwy, and R. Seiringer, “Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron,” <i>Forum of Mathematics</i>, vol. 11. Cambridge University Press, pp. 1–52, 2023.","apa":"Mitrouskas, D. J., Mysliwy, K., &#38; Seiringer, R. (2023). Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2023.45\">https://doi.org/10.1017/fms.2023.45</a>","mla":"Mitrouskas, David Johannes, et al. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” <i>Forum of Mathematics</i>, vol. 11, Cambridge University Press, 2023, pp. 1–52, doi:<a href=\"https://doi.org/10.1017/fms.2023.45\">10.1017/fms.2023.45</a>.","ama":"Mitrouskas DJ, Mysliwy K, Seiringer R. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>. 2023;11:1-52. doi:<a href=\"https://doi.org/10.1017/fms.2023.45\">10.1017/fms.2023.45</a>","chicago":"Mitrouskas, David Johannes, Krzysztof Mysliwy, and Robert Seiringer. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” <i>Forum of Mathematics</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/fms.2023.45\">https://doi.org/10.1017/fms.2023.45</a>.","ista":"Mitrouskas DJ, Mysliwy K, Seiringer R. 2023. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. 11, 1–52.","short":"D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52."},"has_accepted_license":"1","publication":"Forum of Mathematics","publisher":"Cambridge University Press","department":[{"_id":"RoSe"}],"file":[{"date_created":"2023-07-03T10:36:25Z","relation":"main_file","access_level":"open_access","creator":"alisjak","content_type":"application/pdf","file_size":943192,"success":1,"checksum":"f672eb7dd015c472c9a04f1b9bf9df7d","file_id":"13186","file_name":"2023_ForumofMathematics.Sigma_Mitrouskas.pdf","date_updated":"2023-07-03T10:36:25Z"}],"day":"13","date_updated":"2025-04-14T07:26:58Z"},{"_id":"14239","title":"Homological Bondal-Orlov localization conjecture for rational singularities","department":[{"_id":"TaHa"}],"publisher":"Cambridge University Press","file":[{"date_updated":"2023-09-05T06:43:11Z","file_name":"2023_ForumMathematics_Mauri.pdf","file_id":"14266","checksum":"c36241750cc5cb06890aec0ecdfee626","success":1,"file_size":280865,"content_type":"application/pdf","creator":"dernst","access_level":"open_access","relation":"main_file","date_created":"2023-09-05T06:43:11Z"}],"citation":{"chicago":"Mauri, Mirko, and Evgeny Shinder. “Homological Bondal-Orlov Localization Conjecture for Rational Singularities.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/fms.2023.65\">https://doi.org/10.1017/fms.2023.65</a>.","ista":"Mauri M, Shinder E. 2023. Homological Bondal-Orlov localization conjecture for rational singularities. Forum of Mathematics, Sigma. 11, e66.","short":"M. Mauri, E. Shinder, Forum of Mathematics, Sigma 11 (2023).","ieee":"M. Mauri and E. Shinder, “Homological Bondal-Orlov localization conjecture for rational singularities,” <i>Forum of Mathematics, Sigma</i>, vol. 11. Cambridge University Press, 2023.","mla":"Mauri, Mirko, and Evgeny Shinder. “Homological Bondal-Orlov Localization Conjecture for Rational Singularities.” <i>Forum of Mathematics, Sigma</i>, vol. 11, e66, Cambridge University Press, 2023, doi:<a href=\"https://doi.org/10.1017/fms.2023.65\">10.1017/fms.2023.65</a>.","apa":"Mauri, M., &#38; Shinder, E. (2023). Homological Bondal-Orlov localization conjecture for rational singularities. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2023.65\">https://doi.org/10.1017/fms.2023.65</a>","ama":"Mauri M, Shinder E. Homological Bondal-Orlov localization conjecture for rational singularities. <i>Forum of Mathematics, Sigma</i>. 2023;11. doi:<a href=\"https://doi.org/10.1017/fms.2023.65\">10.1017/fms.2023.65</a>"},"has_accepted_license":"1","publication":"Forum of Mathematics, Sigma","day":"03","date_updated":"2025-04-14T07:54:52Z","oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","scopus_import":"1","ec_funded":1,"status":"public","quality_controlled":"1","publication_identifier":{"eissn":["2050-5094"]},"doi":"10.1017/fms.2023.65","arxiv":1,"article_processing_charge":"Yes","type":"journal_article","ddc":["510"],"date_created":"2023-08-27T22:01:16Z","article_type":"original","year":"2023","date_published":"2023-08-03T00:00:00Z","file_date_updated":"2023-09-05T06:43:11Z","intvolume":"        11","acknowledgement":"We thank Agnieszka Bodzenta-Skibińska, Paolo Cascini, Wahei Hara, Sándor Kovács, Alexander Kuznetsov, Mircea Musta  ă, Nebojsa Pavic, Pavel Sechin, and Michael Wemyss for discussions and e-mail correspondence. We also thank the anonymous referee for the helpful comments. M.M. was supported by the Institute of Science and Technology Austria. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 101034413. E.S. was partially supported by the EPSRC grant EP/T019379/1 “Derived categories and algebraic K-theory of singularities”, and by the ERC Synergy grant “Modern Aspects of Geometry: Categories, Cycles and Cohomology of Hyperkähler Varieties.”\r\n\r\n","language":[{"iso":"eng"}],"oa":1,"isi":1,"month":"08","abstract":[{"lang":"eng","text":"Given a resolution of rational singularities  π:X~→X  over a field of characteristic zero, we use a Hodge-theoretic argument to prove that the image of the functor  Rπ∗:Db(X~)→Db(X)\r\n  between bounded derived categories of coherent sheaves generates  Db(X)\r\n  as a triangulated category. This gives a weak version of the Bondal–Orlov localization conjecture [BO02], answering a question from [PS21]. The same result is established more generally for proper (not necessarily birational) morphisms  π:X~→X , with  X~\r\n  smooth, satisfying  Rπ∗(OX~)=OX ."}],"volume":11,"project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020","grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program"}],"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"e66","publication_status":"published","corr_author":"1","external_id":{"isi":["001041926700001"],"arxiv":["2212.06786"]},"author":[{"full_name":"Mauri, Mirko","id":"2cf70c34-09c1-11ed-bd8d-c34fac206130","first_name":"Mirko","last_name":"Mauri"},{"full_name":"Shinder, Evgeny","last_name":"Shinder","first_name":"Evgeny"}]},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Published Version","scopus_import":"1","related_material":{"record":[{"id":"19540","relation":"dissertation_contains","status":"public"}]},"doi":"10.1017/fms.2023.70","publication_identifier":{"eissn":["2050-5094"]},"quality_controlled":"1","status":"public","ec_funded":1,"type":"journal_article","article_processing_charge":"Yes","arxiv":1,"ddc":["510"],"_id":"14343","title":"Gaussian fluctuations in the equipartition principle for Wigner matrices","publication":"Forum of Mathematics, Sigma","has_accepted_license":"1","citation":{"ama":"Cipolloni G, Erdös L, Henheik SJ, Kolupaiev O. Gaussian fluctuations in the equipartition principle for Wigner matrices. <i>Forum of Mathematics, Sigma</i>. 2023;11. doi:<a href=\"https://doi.org/10.1017/fms.2023.70\">10.1017/fms.2023.70</a>","ieee":"G. Cipolloni, L. Erdös, S. J. Henheik, and O. Kolupaiev, “Gaussian fluctuations in the equipartition principle for Wigner matrices,” <i>Forum of Mathematics, Sigma</i>, vol. 11. Cambridge University Press, 2023.","mla":"Cipolloni, Giorgio, et al. “Gaussian Fluctuations in the Equipartition Principle for Wigner Matrices.” <i>Forum of Mathematics, Sigma</i>, vol. 11, e74, Cambridge University Press, 2023, doi:<a href=\"https://doi.org/10.1017/fms.2023.70\">10.1017/fms.2023.70</a>.","apa":"Cipolloni, G., Erdös, L., Henheik, S. J., &#38; Kolupaiev, O. (2023). Gaussian fluctuations in the equipartition principle for Wigner matrices. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2023.70\">https://doi.org/10.1017/fms.2023.70</a>","short":"G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).","chicago":"Cipolloni, Giorgio, László Erdös, Sven Joscha Henheik, and Oleksii Kolupaiev. “Gaussian Fluctuations in the Equipartition Principle for Wigner Matrices.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/fms.2023.70\">https://doi.org/10.1017/fms.2023.70</a>.","ista":"Cipolloni G, Erdös L, Henheik SJ, Kolupaiev O. 2023. Gaussian fluctuations in the equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. 11, e74."},"file":[{"creator":"dernst","file_size":852652,"content_type":"application/pdf","relation":"main_file","date_created":"2023-09-20T11:09:35Z","access_level":"open_access","file_name":"2023_ForumMathematics_Cipolloni.pdf","date_updated":"2023-09-20T11:09:35Z","success":1,"file_id":"14352","checksum":"eb747420e6a88a7796fa934151957676"}],"publisher":"Cambridge University Press","department":[{"_id":"LaEr"},{"_id":"GradSch"}],"day":"23","date_updated":"2026-04-07T12:37:10Z","project":[{"call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"external_id":{"isi":["001051980200001"],"arxiv":["2301.05181"]},"corr_author":"1","publication_status":"published","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"e74","author":[{"last_name":"Cipolloni","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László"},{"last_name":"Henheik","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X"},{"first_name":"Oleksii","last_name":"Kolupaiev","full_name":"Kolupaiev, Oleksii","orcid":"0000-0003-1491-4623","id":"149b70d4-896a-11ed-bdf8-8c63fd44ca61"}],"date_published":"2023-08-23T00:00:00Z","file_date_updated":"2023-09-20T11:09:35Z","year":"2023","article_type":"original","date_created":"2023-09-17T22:01:09Z","acknowledgement":"G.C. and L.E. gratefully acknowledge many discussions with Dominik Schröder at the preliminary stage of this project, especially his essential contribution to identify the correct generalisation of traceless observables to the deformed Wigner ensembles.\r\nL.E. and J.H. acknowledges support by ERC Advanced Grant ‘RMTBeyond’ No. 101020331.","language":[{"iso":"eng"}],"oa":1,"isi":1,"intvolume":"        11","abstract":[{"lang":"eng","text":"The total energy of an eigenstate in a composite quantum system tends to be distributed equally among its constituents. We identify the quantum fluctuation around this equipartition principle in the simplest disordered quantum system consisting of linear combinations of Wigner matrices. As our main ingredient, we prove the Eigenstate Thermalisation Hypothesis and Gaussian fluctuation for general quadratic forms of the bulk eigenvectors of Wigner matrices with an arbitrary deformation."}],"month":"08","volume":11},{"day":"18","date_updated":"2025-04-14T07:57:17Z","title":"Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk","_id":"10643","citation":{"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.","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/fms.2021.80\">https://doi.org/10.1017/fms.2021.80</a>.","short":"S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).","apa":"Henheik, S. J., &#38; Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2021.80\">https://doi.org/10.1017/fms.2021.80</a>","mla":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” <i>Forum of Mathematics, Sigma</i>, vol. 10, e4, Cambridge University Press, 2022, doi:<a href=\"https://doi.org/10.1017/fms.2021.80\">10.1017/fms.2021.80</a>.","ieee":"S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk,” <i>Forum of Mathematics, Sigma</i>, vol. 10. Cambridge University Press, 2022.","ama":"Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. <i>Forum of Mathematics, Sigma</i>. 2022;10. doi:<a href=\"https://doi.org/10.1017/fms.2021.80\">10.1017/fms.2021.80</a>"},"keyword":["computational mathematics","discrete mathematics and combinatorics","geometry and topology","mathematical physics","statistics and probability","algebra and number theory","theoretical computer science","analysis"],"has_accepted_license":"1","publication":"Forum of Mathematics, Sigma","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"publisher":"Cambridge University Press","file":[{"relation":"main_file","date_created":"2022-01-19T09:27:43Z","access_level":"open_access","creator":"cchlebak","file_size":705323,"content_type":"application/pdf","success":1,"file_id":"10646","checksum":"87592a755adcef22ea590a99dc728dd3","file_name":"2022_ForumMathSigma_Henheik.pdf","date_updated":"2022-01-19T09:27:43Z"}],"type":"journal_article","arxiv":1,"article_processing_charge":"Yes","ddc":["510"],"scopus_import":"1","oa_version":"Published Version","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","quality_controlled":"1","publication_identifier":{"eissn":["2050-5094"]},"doi":"10.1017/fms.2021.80","ec_funded":1,"status":"public","abstract":[{"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","lang":"eng"}],"month":"01","volume":10,"article_type":"original","year":"2022","date_published":"2022-01-18T00:00:00Z","file_date_updated":"2022-01-19T09:27:43Z","date_created":"2022-01-18T16:18:51Z","oa":1,"isi":1,"language":[{"iso":"eng"}],"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.","intvolume":"        10","corr_author":"1","external_id":{"arxiv":["2012.15239"],"isi":["000743615000001"]},"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"e4","publication_status":"published","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","last_name":"Henheik","first_name":"Sven Joscha"},{"full_name":"Teufel, Stefan","first_name":"Stefan","last_name":"Teufel"}],"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331"}]},{"author":[{"last_name":"Bossmann","first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343"},{"first_name":"Sören P","last_name":"Petrat","full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"isi":["000634006900001"]},"publication_status":"published","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"e28","project":[{"grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"volume":9,"abstract":[{"lang":"eng","text":"We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N."}],"month":"03","isi":1,"language":[{"iso":"eng"}],"oa":1,"acknowledgement":"The first author gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie Grant Agreement No. 754411. The third author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).","intvolume":"         9","date_published":"2021-03-26T00:00:00Z","file_date_updated":"2021-04-12T07:15:58Z","article_type":"original","year":"2021","date_created":"2021-04-11T22:01:15Z","ddc":["510"],"type":"journal_article","article_processing_charge":"Yes (via OA deal)","doi":"10.1017/fms.2021.22","publication_identifier":{"eissn":["2050-5094"]},"quality_controlled":"1","ec_funded":1,"status":"public","oa_version":"Published Version","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","scopus_import":"1","date_updated":"2026-04-02T14:02:29Z","day":"26","publication":"Forum of Mathematics, Sigma","has_accepted_license":"1","citation":{"ista":"Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. 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This shows a particularly strong microcanonical form of the equipartition principle for quantum systems whose components are modelled by Wigner matrices. ","lang":"eng"}],"month":"05","isi":1,"acknowledgement":"The first author is supported in part by Hong Kong RGC Grant GRF 16301519 and NSFC 11871425. The second author is supported in part by ERC Advanced Grant RANMAT 338804. 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We show that the free energy at density 𝜌 and inverse temperature 𝛽 differs from the one of the noninteracting system by the correction term 𝜋𝜌𝜌𝛽𝛽 . Here, is the scattering length of the interaction potential, and 𝛽 is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. The result is valid in the dilute limit 𝜌 and if 𝛽𝜌 .","lang":"eng"}],"volume":8,"date_created":"2020-05-03T22:00:48Z","date_published":"2020-03-14T00:00:00Z","file_date_updated":"2020-07-14T12:48:03Z","article_type":"original","year":"2020","intvolume":"         8","oa":1,"isi":1,"language":[{"iso":"eng"}],"publication_status":"published","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"e20","external_id":{"isi":["000527342000001"],"arxiv":["1910.03372"]},"corr_author":"1","author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","last_name":"Deuchert","first_name":"Andreas"},{"first_name":"Simon","last_name":"Mayer","full_name":"Mayer, Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227"}],"day":"14","date_updated":"2026-04-03T09:30:21Z","_id":"7790","title":"The free energy of the two-dimensional dilute Bose gas. 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Cambridge University Press, 2020. <a href=\"https://doi.org/10.1017/fms.2020.29\">https://doi.org/10.1017/fms.2020.29</a>.","ista":"Ferber A, Kwan MA. 2020. Almost all Steiner triple systems are almost resolvable. Forum of Mathematics. 8, e39.","short":"A. Ferber, M.A. Kwan, Forum of Mathematics 8 (2020)."},"title":"Almost all Steiner triple systems are almost resolvable","_id":"9583","OA_place":"publisher","ddc":["510"],"article_processing_charge":"No","type":"journal_article","extern":"1","status":"public","publication_identifier":{"eissn":["2050-5094"]},"doi":"10.1017/fms.2020.29","quality_controlled":"1","scopus_import":"1","user_id":"0043cee0-e5fc-11ee-9736-f83bc23afbf0","oa_version":"Published Version"},{"month":"03","abstract":[{"lang":"eng","text":"We consider large random matrices with a general slowly decaying correlation among its entries. We prove universality of the local eigenvalue statistics and optimal local laws for the resolvent away from the spectral edges, generalizing the recent result of Ajanki et al. [‘Stability of the matrix Dyson equation and random matrices with correlations’, Probab. Theory Related Fields 173(1–2) (2019), 293–373] to allow slow correlation decay and arbitrary expectation. The main novel tool is\r\na systematic diagrammatic control of a multivariate cumulant expansion."}],"volume":7,"date_created":"2019-03-28T09:05:23Z","year":"2019","article_type":"original","date_published":"2019-03-26T00:00:00Z","file_date_updated":"2020-07-14T12:47:22Z","intvolume":"         7","language":[{"iso":"eng"}],"isi":1,"oa":1,"article_number":"e8","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","corr_author":"1","external_id":{"arxiv":["1705.10661"],"isi":["000488847100001"]},"author":[{"full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös"},{"id":"3020C786-F248-11E8-B48F-1D18A9856A87","full_name":"Krüger, Torben H","orcid":"0000-0002-4821-3297","last_name":"Krüger","first_name":"Torben H"},{"first_name":"Dominik J","last_name":"Schröder","full_name":"Schröder, Dominik J","orcid":"0000-0002-2904-1856","id":"408ED176-F248-11E8-B48F-1D18A9856A87"}],"project":[{"name":"Random matrices, universality and disordered quantum systems","call_identifier":"FP7","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"}],"day":"26","date_updated":"2026-04-08T13:55:03Z","title":"Random matrices with slow correlation decay","_id":"6182","department":[{"_id":"LaEr"}],"publisher":"Cambridge University Press","file":[{"checksum":"933a472568221c73b2c3ce8c87bf6d15","file_id":"6883","date_updated":"2020-07-14T12:47:22Z","file_name":"2019_Forum_Erdoes.pdf","access_level":"open_access","date_created":"2019-09-17T14:24:13Z","relation":"main_file","content_type":"application/pdf","file_size":1520344,"creator":"dernst"}],"citation":{"ama":"Erdös L, Krüger TH, Schröder DJ. Random matrices with slow correlation decay. <i>Forum of Mathematics, Sigma</i>. 2019;7. doi:<a href=\"https://doi.org/10.1017/fms.2019.2\">10.1017/fms.2019.2</a>","apa":"Erdös, L., Krüger, T. H., &#38; Schröder, D. J. (2019). Random matrices with slow correlation decay. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2019.2\">https://doi.org/10.1017/fms.2019.2</a>","mla":"Erdös, László, et al. “Random Matrices with Slow Correlation Decay.” <i>Forum of Mathematics, Sigma</i>, vol. 7, e8, Cambridge University Press, 2019, doi:<a href=\"https://doi.org/10.1017/fms.2019.2\">10.1017/fms.2019.2</a>.","ieee":"L. Erdös, T. H. Krüger, and D. J. Schröder, “Random matrices with slow correlation decay,” <i>Forum of Mathematics, Sigma</i>, vol. 7. Cambridge University Press, 2019.","short":"L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019).","ista":"Erdös L, Krüger TH, Schröder DJ. 2019. 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