[{"language":[{"iso":"eng"}],"publication":"Journal of Functional Analysis","has_accepted_license":"1","month":"11","article_number":"110129","oa_version":"Published Version","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"file_size":232934,"checksum":"28e424ad91be6219e9d321054ce3a412","date_created":"2024-01-30T14:15:16Z","file_name":"2023_JourFunctionalAnalysis_Seiringer.pdf","content_type":"application/pdf","date_updated":"2024-01-30T14:15:16Z","success":1,"relation":"main_file","access_level":"open_access","creator":"dernst","file_id":"14915"}],"date_published":"2023-11-15T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"file_date_updated":"2024-01-30T14:15:16Z","quality_controlled":"1","article_type":"original","publisher":"Elsevier","author":[{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Solovej, Jan Philip","first_name":"Jan Philip","last_name":"Solovej"}],"issue":"10","_id":"14254","scopus_import":"1","title":"A simple approach to Lieb-Thirring type inequalities","intvolume":"       285","publication_status":"published","department":[{"_id":"RoSe"}],"article_processing_charge":"Yes (via OA deal)","date_created":"2023-09-03T22:01:14Z","ddc":["510"],"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).","volume":285,"isi":1,"external_id":{"arxiv":["2303.04504"],"isi":["001071552300001"]},"date_updated":"2024-01-30T14:17:23Z","citation":{"mla":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” <i>Journal of Functional Analysis</i>, vol. 285, no. 10, 110129, Elsevier, 2023, doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">10.1016/j.jfa.2023.110129</a>.","short":"R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).","ista":"Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.","apa":"Seiringer, R., &#38; Solovej, J. P. (2023). A simple approach to Lieb-Thirring type inequalities. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">https://doi.org/10.1016/j.jfa.2023.110129</a>","ama":"Seiringer R, Solovej JP. A simple approach to Lieb-Thirring type inequalities. <i>Journal of Functional Analysis</i>. 2023;285(10). doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">10.1016/j.jfa.2023.110129</a>","ieee":"R. Seiringer and J. P. Solovej, “A simple approach to Lieb-Thirring type inequalities,” <i>Journal of Functional Analysis</i>, vol. 285, no. 10. Elsevier, 2023.","chicago":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” <i>Journal of Functional Analysis</i>. Elsevier, 2023. <a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">https://doi.org/10.1016/j.jfa.2023.110129</a>."},"year":"2023","abstract":[{"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.","lang":"eng"}],"arxiv":1,"doi":"10.1016/j.jfa.2023.110129","day":"15"},{"publisher":"Elsevier","article_type":"original","ec_funded":1,"quality_controlled":"1","publication_status":"published","article_processing_charge":"No","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"date_created":"2023-05-07T22:01:02Z","title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","intvolume":"       285","_id":"12911","scopus_import":"1","author":[{"first_name":"Dario","last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Gerolin, Augusto","last_name":"Gerolin","first_name":"Augusto"},{"id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","last_name":"Portinale","first_name":"Lorenzo","full_name":"Portinale, Lorenzo"}],"issue":"4","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.","volume":285,"doi":"10.1016/j.jfa.2023.109963","arxiv":1,"day":"15","abstract":[{"lang":"eng","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."}],"date_updated":"2023-11-14T13:21:01Z","citation":{"chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” <i>Journal of Functional Analysis</i>. Elsevier, 2023. <a href=\"https://doi.org/10.1016/j.jfa.2023.109963\">https://doi.org/10.1016/j.jfa.2023.109963</a>.","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” <i>Journal of Functional Analysis</i>, vol. 285, no. 4. Elsevier, 2023.","ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. <i>Journal of Functional Analysis</i>. 2023;285(4). doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.109963\">10.1016/j.jfa.2023.109963</a>","apa":"Feliciangeli, D., Gerolin, A., &#38; Portinale, L. (2023). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2023.109963\">https://doi.org/10.1016/j.jfa.2023.109963</a>","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.","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” <i>Journal of Functional Analysis</i>, vol. 285, no. 4, 109963, Elsevier, 2023, doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.109963\">10.1016/j.jfa.2023.109963</a>.","short":"D. Feliciangeli, A. Gerolin, L. Portinale, Journal of Functional Analysis 285 (2023)."},"year":"2023","isi":1,"external_id":{"arxiv":["2106.11217"],"isi":["000990804300001"]},"language":[{"iso":"eng"}],"oa_version":"Preprint","project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"Taming Complexity in Partial Di erential Systems","grant_number":" F06504","call_identifier":"FWF","_id":"260482E2-B435-11E9-9278-68D0E5697425"}],"month":"08","article_number":"109963","publication":"Journal of Functional Analysis","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.11217"}],"related_material":{"record":[{"id":"9792","relation":"earlier_version","status":"public"}]},"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"oa":1,"date_published":"2023-08-15T00:00:00Z","type":"journal_article"},{"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"date_created":"2022-07-29T07:22:08Z","file_size":652573,"checksum":"b75fdad606ab507dc61109e0907d86c0","date_updated":"2022-07-29T07:22:08Z","content_type":"application/pdf","file_name":"2022_JourFunctionalAnalysis_Cipolloni.pdf","access_level":"open_access","success":1,"relation":"main_file","file_id":"11690","creator":"dernst"}],"date_published":"2022-04-15T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"language":[{"iso":"eng"}],"publication":"Journal of Functional Analysis","has_accepted_license":"1","month":"04","article_number":"109394","oa_version":"Published Version","ddc":["500"],"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.","volume":282,"isi":1,"external_id":{"arxiv":["2102.09975"],"isi":["000781239100004"]},"date_updated":"2023-08-02T14:12:35Z","year":"2022","citation":{"chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Thermalisation for Wigner Matrices.” <i>Journal of Functional Analysis</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.jfa.2022.109394\">https://doi.org/10.1016/j.jfa.2022.109394</a>.","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Thermalisation for Wigner matrices,” <i>Journal of Functional Analysis</i>, vol. 282, no. 8. Elsevier, 2022.","ama":"Cipolloni G, Erdös L, Schröder DJ. Thermalisation for Wigner matrices. <i>Journal of Functional Analysis</i>. 2022;282(8). doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109394\">10.1016/j.jfa.2022.109394</a>","apa":"Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2022). Thermalisation for Wigner matrices. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2022.109394\">https://doi.org/10.1016/j.jfa.2022.109394</a>","ista":"Cipolloni G, Erdös L, Schröder DJ. 2022. Thermalisation for Wigner matrices. Journal of Functional Analysis. 282(8), 109394.","mla":"Cipolloni, Giorgio, et al. “Thermalisation for Wigner Matrices.” <i>Journal of Functional Analysis</i>, vol. 282, no. 8, 109394, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109394\">10.1016/j.jfa.2022.109394</a>.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022)."},"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"}],"doi":"10.1016/j.jfa.2022.109394","arxiv":1,"day":"15","file_date_updated":"2022-07-29T07:22:08Z","quality_controlled":"1","article_type":"original","publisher":"Elsevier","author":[{"full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992","last_name":"Cipolloni","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Erdös, László","orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","full_name":"Schröder, Dominik J","orcid":"0000-0002-2904-1856","last_name":"Schröder","first_name":"Dominik J"}],"issue":"8","_id":"10732","scopus_import":"1","title":"Thermalisation for Wigner matrices","intvolume":"       282","publication_status":"published","date_created":"2022-02-06T23:01:30Z","department":[{"_id":"LaEr"}],"article_processing_charge":"Yes (via OA deal)"},{"abstract":[{"lang":"eng","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."}],"day":"01","doi":"10.1016/j.jfa.2022.109441","arxiv":1,"external_id":{"isi":["000781371300008"],"arxiv":["2006.09934"]},"isi":1,"year":"2022","citation":{"mla":"Ivanov, Grigory, and Márton Naszódi. “Functional John Ellipsoids.” <i>Journal of Functional Analysis</i>, vol. 282, no. 11, 109441, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109441\">10.1016/j.jfa.2022.109441</a>.","short":"G. Ivanov, M. Naszódi, Journal of Functional Analysis 282 (2022).","ista":"Ivanov G, Naszódi M. 2022. Functional John ellipsoids. Journal of Functional Analysis. 282(11), 109441.","apa":"Ivanov, G., &#38; Naszódi, M. (2022). Functional John ellipsoids. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2022.109441\">https://doi.org/10.1016/j.jfa.2022.109441</a>","ama":"Ivanov G, Naszódi M. Functional John ellipsoids. <i>Journal of Functional Analysis</i>. 2022;282(11). doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109441\">10.1016/j.jfa.2022.109441</a>","ieee":"G. Ivanov and M. Naszódi, “Functional John ellipsoids,” <i>Journal of Functional Analysis</i>, vol. 282, no. 11. Elsevier, 2022.","chicago":"Ivanov, Grigory, and Márton Naszódi. “Functional John Ellipsoids.” <i>Journal of Functional Analysis</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.jfa.2022.109441\">https://doi.org/10.1016/j.jfa.2022.109441</a>."},"date_updated":"2023-08-02T14:51:11Z","ddc":["510"],"volume":282,"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. ","intvolume":"       282","title":"Functional John ellipsoids","department":[{"_id":"UlWa"}],"date_created":"2022-03-20T23:01:38Z","article_processing_charge":"Yes (via OA deal)","publication_status":"published","issue":"11","author":[{"full_name":"Ivanov, Grigory","last_name":"Ivanov","first_name":"Grigory","id":"87744F66-5C6F-11EA-AFE0-D16B3DDC885E"},{"full_name":"Naszódi, Márton","first_name":"Márton","last_name":"Naszódi"}],"scopus_import":"1","_id":"10887","article_type":"original","publisher":"Elsevier","file_date_updated":"2022-08-02T10:40:48Z","quality_controlled":"1","oa":1,"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"type":"journal_article","date_published":"2022-06-01T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"date_created":"2022-08-02T10:40:48Z","file_size":734482,"checksum":"1cf185e264e04c87cb1ce67a00db88ab","date_updated":"2022-08-02T10:40:48Z","file_name":"2022_JourFunctionalAnalysis_Ivanov.pdf","content_type":"application/pdf","success":1,"relation":"main_file","access_level":"open_access","file_id":"11721","creator":"dernst"}],"article_number":"109441","month":"06","oa_version":"Published Version","has_accepted_license":"1","publication":"Journal of Functional Analysis","language":[{"iso":"eng"}]},{"author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","first_name":"Morris","last_name":"Brooks"},{"first_name":"Giacomo","last_name":"Di Gesù","full_name":"Di Gesù, Giacomo"}],"issue":"3","_id":"9348","scopus_import":"1","title":"Sharp tunneling estimates for a double-well model in infinite dimension","intvolume":"       281","publication_status":"published","date_created":"2021-04-25T22:01:29Z","department":[{"_id":"RoSe"}],"article_processing_charge":"No","quality_controlled":"1","article_type":"original","publisher":"Elsevier","isi":1,"external_id":{"arxiv":["1911.03187"],"isi":["000644702800005"]},"date_updated":"2023-08-08T13:15:11Z","citation":{"ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” <i>Journal of Functional Analysis</i>, vol. 281, no. 3. Elsevier, 2021.","chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">https://doi.org/10.1016/j.jfa.2021.109029</a>.","apa":"Brooks, M., &#38; Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">https://doi.org/10.1016/j.jfa.2021.109029</a>","ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. <i>Journal of Functional Analysis</i>. 2021;281(3). doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">10.1016/j.jfa.2021.109029</a>","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.","short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).","mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” <i>Journal of Functional Analysis</i>, vol. 281, no. 3, 109029, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">10.1016/j.jfa.2021.109029</a>."},"year":"2021","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."}],"arxiv":1,"doi":"10.1016/j.jfa.2021.109029","day":"07","volume":281,"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.","publication":"Journal of Functional Analysis","month":"04","article_number":"109029","oa_version":"Preprint","language":[{"iso":"eng"}],"date_published":"2021-04-07T00:00:00Z","type":"journal_article","oa":1,"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1911.03187"}]},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2009.00992"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"oa":1,"date_published":"2021-09-15T00:00:00Z","type":"journal_article","language":[{"iso":"eng"}],"oa_version":"Preprint","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"month":"09","article_number":"109096","publication":"Journal of Functional Analysis","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.","volume":281,"arxiv":1,"doi":"10.1016/j.jfa.2021.109096","day":"15","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."}],"date_updated":"2023-08-08T13:56:27Z","year":"2021","citation":{"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.” <i>Journal of Functional Analysis</i>, vol. 281, no. 6, 109096, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">10.1016/j.jfa.2021.109096</a>.","short":"A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).","chicago":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">https://doi.org/10.1016/j.jfa.2021.109096</a>.","ieee":"A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons,” <i>Journal of Functional Analysis</i>, vol. 281, no. 6. Elsevier, 2021.","ama":"Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. <i>Journal of Functional Analysis</i>. 2021;281(6). doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">10.1016/j.jfa.2021.109096</a>","apa":"Deuchert, A., &#38; Seiringer, R. (2021). Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">https://doi.org/10.1016/j.jfa.2021.109096</a>"},"isi":1,"external_id":{"isi":["000656508600008"],"arxiv":["2009.00992"]},"publisher":"Elsevier","article_type":"original","quality_controlled":"1","ec_funded":1,"publication_status":"published","department":[{"_id":"RoSe"}],"date_created":"2021-06-06T22:01:28Z","article_processing_charge":"No","title":"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons","intvolume":"       281","_id":"9462","scopus_import":"1","author":[{"first_name":"Andreas","last_name":"Deuchert","full_name":"Deuchert, Andreas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"issue":"6"},{"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"}],"day":"15","arxiv":1,"doi":"10.1016/j.jfa.2021.109234","external_id":{"arxiv":["2008.01492"],"isi":["000703896600005"]},"isi":1,"year":"2021","citation":{"ama":"Dello Schiavo L, Suzuki K. Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. <i>Journal of Functional Analysis</i>. 2021;281(11). doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109234\">10.1016/j.jfa.2021.109234</a>","apa":"Dello Schiavo, L., &#38; Suzuki, K. (2021). Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2021.109234\">https://doi.org/10.1016/j.jfa.2021.109234</a>","ieee":"L. Dello Schiavo and K. Suzuki, “Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces,” <i>Journal of Functional Analysis</i>, vol. 281, no. 11. Elsevier, 2021.","chicago":"Dello Schiavo, Lorenzo, and Kohei Suzuki. “Rademacher-Type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.jfa.2021.109234\">https://doi.org/10.1016/j.jfa.2021.109234</a>.","short":"L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).","mla":"Dello Schiavo, Lorenzo, and Kohei Suzuki. “Rademacher-Type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces.” <i>Journal of Functional Analysis</i>, vol. 281, no. 11, 109234, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109234\">10.1016/j.jfa.2021.109234</a>.","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."},"date_updated":"2023-08-14T07:05:44Z","volume":281,"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.","intvolume":"       281","title":"Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces","article_processing_charge":"No","department":[{"_id":"JaMa"}],"date_created":"2021-10-03T22:01:21Z","publication_status":"published","issue":"11","author":[{"orcid":"0000-0002-9881-6870","full_name":"Dello Schiavo, Lorenzo","first_name":"Lorenzo","last_name":"Dello Schiavo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E"},{"last_name":"Suzuki","first_name":"Kohei","full_name":"Suzuki, Kohei"}],"scopus_import":"1","_id":"10070","article_type":"original","publisher":"Elsevier","ec_funded":1,"quality_controlled":"1","oa":1,"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"type":"journal_article","date_published":"2021-09-15T00:00:00Z","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2008.01492","open_access":"1"}],"article_number":"109234","month":"09","project":[{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"},{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"oa_version":"Preprint","publication":"Journal of Functional Analysis","language":[{"iso":"eng"}]}]