[{"article_type":"original","isi":1,"intvolume":"        27","external_id":{"isi":["001251464300001"],"arxiv":["2307.11029"]},"citation":{"ieee":"J. Reker, “Fluctuation moments for regular functions of Wigner Matrices,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 27, no. 3. Springer Nature, 2024.","ista":"Reker J. 2024. Fluctuation moments for regular functions of Wigner Matrices. Mathematical Physics, Analysis and Geometry. 27(3), 10.","apa":"Reker, J. (2024). Fluctuation moments for regular functions of Wigner Matrices. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-024-09483-y\">https://doi.org/10.1007/s11040-024-09483-y</a>","ama":"Reker J. Fluctuation moments for regular functions of Wigner Matrices. <i>Mathematical Physics, Analysis and Geometry</i>. 2024;27(3). doi:<a href=\"https://doi.org/10.1007/s11040-024-09483-y\">10.1007/s11040-024-09483-y</a>","short":"J. Reker, Mathematical Physics, Analysis and Geometry 27 (2024).","chicago":"Reker, Jana. “Fluctuation Moments for Regular Functions of Wigner Matrices.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s11040-024-09483-y\">https://doi.org/10.1007/s11040-024-09483-y</a>.","mla":"Reker, Jana. “Fluctuation Moments for Regular Functions of Wigner Matrices.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 27, no. 3, 10, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s11040-024-09483-y\">10.1007/s11040-024-09483-y</a>."},"fulldoi":"https://doi.org/10.1007/s11040-024-09483-y","date_created":"2024-06-21T09:31:17Z","publisher":"Springer Nature","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"},"language":[{"iso":"eng"}],"researchdata_availability":"not applicable","date_updated":"2026-10-16T08:35:04Z","department":[{"_id":"LaEr"}],"license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1,"oa":1,"arxiv":1,"author":[{"last_name":"Reker","first_name":"Jana","full_name":"Reker, Jana","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9"}],"ddc":["519"],"doi":"10.1007/s11040-024-09483-y","day":"20","issue":"3","volume":27,"publication":"Mathematical Physics, Analysis and Geometry","file_date_updated":"2024-06-26T11:26:42Z","abstract":[{"text":"We compute the deterministic approximation for mixed fluctuation moments of products of deterministic matrices and general Sobolev functions of Wigner matrices. Restricting to polynomials, our formulas reproduce recent results of Male et al. (Random Matrices Theory Appl. 11(2):2250015, 2022), showing that the underlying combinatorics of non-crossing partitions and annular non-crossing permutations continue to stay valid beyond the setting of second-order free probability theory. The formulas obtained further characterize the variance in the functional central limit theorem given in the recent companion paper (Reker in Preprint, arXiv:2204.03419, 2023). and thus allow identifying the fluctuation around the thermal value in certain thermalization problems.","lang":"eng"}],"das_tickbox":"1","oa_version":"Published Version","dataavailabilitystatement":"Data sharing not applicable to this article as no datasets were generated or analysed during the current study.","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","supplementarymaterial":"yes","publication_status":"published","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"grant_number":"101020331","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"month":"06","quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"article_number":"10","_id":"17154","year":"2024","file":[{"creator":"cchlebak","access_level":"open_access","file_size":1327596,"file_name":"2024_MathPhysAnaGeo_Reker.pdf","checksum":"7d04318d66f765621bdcb648378d458e","date_updated":"2024-06-26T11:26:42Z","file_id":"17175","relation":"main_file","success":1,"date_created":"2024-06-26T11:26:42Z","content_type":"application/pdf"}],"related_material":{"record":[{"status":"public","id":"17164","relation":"dissertation_contains"}]},"type":"journal_article","status":"public","date_published":"2024-06-20T00:00:00Z","title":"Fluctuation moments for regular functions of Wigner Matrices","scopus_import":"1"},{"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["1385-0172"],"eissn":["1572-9656"]},"article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","quality_controlled":"1","month":"07","file_date_updated":"2023-08-23T10:59:15Z","volume":26,"publication":"Mathematical Physics, Analysis and Geometry","issue":"3","doi":"10.1007/s11040-023-09460-x","day":"26","oa_version":"Published Version","abstract":[{"text":"For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the translation invariant Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.","lang":"eng"}],"keyword":["Geometry and Topology","Mathematical Physics"],"scopus_import":"1","title":"On the global minimum of the energy–momentum relation for the polaron","file":[{"access_level":"open_access","checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6","file_id":"14225","date_updated":"2023-08-23T10:59:15Z","file_name":"2023_MathPhysics_Lampart.pdf","file_size":317026,"creator":"dernst","content_type":"application/pdf","date_created":"2023-08-23T10:59:15Z","relation":"main_file","success":1}],"year":"2023","article_number":"17","_id":"14192","date_published":"2023-07-26T00:00:00Z","acknowledgement":"D.M. and K.M. thank Robert Seiringer for helpful discussions. Open access funding provided by Institute of Science and Technology (IST Austria). Financial support from the Agence Nationale de la Recherche (ANR) through the projects ANR-17-CE40-0016, ANR-17-CE40-0007-01, ANR-17-EURE-0002 (J.L.) and from the European Union’s Horizon 2020 research and innovation programme under the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.) is gratefully acknowledged.","status":"public","type":"journal_article","publisher":"Springer Nature","date_created":"2023-08-22T14:09:47Z","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"},"intvolume":"        26","isi":1,"article_type":"original","fulldoi":"https://doi.org/10.1007/s11040-023-09460-x","citation":{"apa":"Lampart, J., Mitrouskas, D. J., &#38; Mysliwy, K. (2023). On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>","ama":"Lampart J, Mitrouskas DJ, Mysliwy K. On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. 2023;26(3). doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>","ista":"Lampart J, Mitrouskas DJ, Mysliwy K. 2023. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 26(3), 17.","ieee":"J. Lampart, D. J. Mitrouskas, and K. Mysliwy, “On the global minimum of the energy–momentum relation for the polaron,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3. Springer Nature, 2023.","mla":"Lampart, Jonas, et al. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3, 17, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>.","chicago":"Lampart, Jonas, David Johannes Mitrouskas, and Krzysztof Mysliwy. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>.","short":"J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and Geometry 26 (2023)."},"external_id":{"arxiv":["2206.14708"],"isi":["001032992600001"]},"corr_author":"1","arxiv":1,"oa":1,"ddc":["510"],"author":[{"last_name":"Lampart","first_name":"Jonas","full_name":"Lampart, Jonas"},{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy"}],"date_updated":"2024-10-09T21:06:41Z","department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}]},{"year":"2022","file":[{"date_created":"2022-01-14T07:27:45Z","content_type":"application/pdf","success":1,"relation":"main_file","file_size":505804,"file_id":"10624","checksum":"d44f8123a52592a75b2c3b8ee2cd2435","date_updated":"2022-01-14T07:27:45Z","file_name":"2022_MathPhyAnalGeo_Henheik.pdf","access_level":"open_access","creator":"cchlebak"}],"_id":"10623","article_number":"3","acknowledgement":"I am very grateful to Robert Seiringer for his guidance during this project and for many valuable comments on an earlier version of the manuscript. Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions and comments, pointing out the reference [22] and for his involvement in a closely related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable comments on an earlier version of the manuscript and Andreas Deuchert for interesting discussions.","date_published":"2022-01-11T00:00:00Z","status":"public","related_material":{"record":[{"status":"public","id":"19540","relation":"dissertation_contains"}]},"type":"journal_article","keyword":["geometry and topology","mathematical physics"],"scopus_import":"1","title":"The BCS critical temperature at high density","publication":"Mathematical Physics, Analysis and Geometry","file_date_updated":"2022-01-14T07:27:45Z","volume":25,"issue":"1","doi":"10.1007/s11040-021-09415-0","day":"11","oa_version":"Published Version","abstract":[{"text":"We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory.","lang":"eng"}],"project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"publication_status":"published","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","quality_controlled":"1","month":"01","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"date_updated":"2026-07-29T13:18:16Z","language":[{"iso":"eng"}],"oa":1,"arxiv":1,"ec_funded":1,"ddc":["514"],"author":[{"last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"}],"intvolume":"        25","isi":1,"article_type":"original","fulldoi":"https://doi.org/10.1007/s11040-021-09415-0","citation":{"ista":"Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 25(1), 3.","ieee":"S. J. Henheik, “The BCS critical temperature at high density,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1. Springer Nature, 2022.","apa":"Henheik, S. J. (2022). The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>","ama":"Henheik SJ. The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. 2022;25(1). doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>","short":"S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).","chicago":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>.","mla":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1, 3, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>."},"external_id":{"isi":["000741387600001"],"arxiv":["2106.02015"]},"corr_author":"1","publisher":"Springer Nature","date_created":"2022-01-13T15:40:53Z","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"}},{"publisher":"Springer","date_created":"2018-12-11T11:44:55Z","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"},"intvolume":"        21","article_type":"original","isi":1,"citation":{"chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>.","short":"T. Moser, R. Seiringer, Mathematical Physics, Analysis and Geometry 21 (2018).","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 21, no. 3, 19, Springer, 2018, doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>.","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 21, no. 3. Springer, 2018.","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics, Analysis and Geometry. 21(3), 19.","ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics, Analysis and Geometry</i>. 2018;21(3). doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>","apa":"Moser, T., &#38; Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics, Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>"},"fulldoi":"https://doi.org/10.1007/s11040-018-9275-3","external_id":{"isi":["000439639700001"]},"oa":1,"ec_funded":1,"ddc":["530"],"author":[{"last_name":"Moser","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","full_name":"Moser, Thomas"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"date_updated":"2026-08-12T14:12:56Z","project":[{"grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"grant_number":"P27533_N27","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund","call_identifier":"FWF"}],"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","has_accepted_license":"1","publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"month":"09","quality_controlled":"1","issue":"3","publication":"Mathematical Physics, Analysis and Geometry","volume":21,"file_date_updated":"2020-07-14T12:45:01Z","doi":"10.1007/s11040-018-9275-3","day":"01","oa_version":"Published Version","publist_id":"7767","abstract":[{"text":"We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system.","lang":"eng"}],"scopus_import":"1","title":"Stability of the 2+2 fermionic system with point interactions","article_number":"19","_id":"154","file":[{"relation":"main_file","date_created":"2018-12-17T16:49:02Z","content_type":"application/pdf","creator":"dernst","access_level":"open_access","file_size":496973,"file_id":"5729","date_updated":"2020-07-14T12:45:01Z","checksum":"411c4db5700d7297c9cd8ebc5dd29091","file_name":"2018_MathPhysics_Moser.pdf"}],"year":"2018","date_published":"2018-09-01T00:00:00Z","acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","related_material":{"record":[{"status":"public","id":"52","relation":"dissertation_contains"}]},"type":"journal_article","status":"public"}]