--- res: bibo_abstract: - 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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Giorgio foaf_name: Cipolloni, Giorgio foaf_surname: Cipolloni foaf_workInfoHomepage: http://www.librecat.org/personId=42198EFA-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-4901-7992 - foaf_Person: foaf_givenName: László foaf_name: Erdös, László foaf_surname: Erdös foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0001-5366-9603 - foaf_Person: foaf_givenName: Dominik J foaf_name: Schröder, Dominik J foaf_surname: Schröder foaf_workInfoHomepage: http://www.librecat.org/personId=408ED176-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-2904-1856 bibo_doi: 10.1016/j.jfa.2022.109394 bibo_issue: '8' bibo_volume: 282 dct_date: 2022^xs_gYear dct_identifier: - UT:000781239100004 dct_isPartOf: - http://id.crossref.org/issn/0022-1236 - http://id.crossref.org/issn/1096-0783 dct_language: eng dct_publisher: Elsevier@ dct_title: Thermalisation for Wigner matrices@ ...