Strong and false asymptotic freeness of large random matrices
type: Dataset
description: The thesis fits into the random matrix theory, in intersection with free probability and operator algebra. It is part of a general approach which is common since the last decades: using tools and concepts of non commutative probability in order to get general results about the spectrum of large random matrices. Where are interested here in generalization of Voiculescu's asymptotic freeness theorem. In Chapter 1 and 2, we show some results of strong asymptotic freeness for gaussian, random unitary and deterministic matrices. In Chapter 3 and 4, we introduce the notion of asymptotic false freeness for deterministic matrices and certain random matrices, Hermitian with independent sub-diagonal entries, interpolating Wigner and Lévy models.
landing page: https://theses.hal.science/tel-00673551
identifier: NNT: 2011ENSL0696
keyword: asymptotic-freeness
keyword: c--algebra
keyword: c--algebre
keyword: free-probability
keyword: graphes-aleatoires
keyword: infoeu-reposemanticsdoctoralthesis
keyword: liberte-asymptotique
keyword: mathmath-gmmathematics-mathgeneral-mathematics-mathgm
keyword: probabilites-libres
keyword: random-matrix-theory
keyword: spectral-graph-theory
keyword: theorie-des-matrices-aleatoires
keyword: theorie-spectrale-des-graphes
keyword: theses
issued: 2026-05-27T05:35:55.101436
modified: 2026-05-27T05:35:55.101443
language: fr
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Strong and false asymptotic freeness of large random matrices
type: Distribution
format: HTML
access URL: https://theses.hal.science/tel-00673551
issued: 2026-05-27T05:35:55.214377
modified: 2026-05-27T05:35:55.043514