Strong asymptotic freeness for Wigner and Wishart matrices

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dc.creatorCapitaine, Mireille
dc.creatorDonati-Martin, Catherine
dc.date2005-04-20
dc.date.accessioned2026-07-07T05:19:17Z
dc.date.available2026-07-07T05:19:17Z
dc.descriptionWe prove that any non commutative polynomial of r independent copies of Wigner matrices converges a.s. towards the polynomial of r free semicircular variables in operator norm. This result extends a previous work of Haagerup and Thorbjornsen where GUE matrices are considered, as well as the classical asymptotic freeness for Wigner matrices (i.e. convergence of the moments) proved by Dykema. We also study the Wishart case.
dc.identifierhttps://arxiv.org/abs/math/0504414
dc.identifierhttp://arxiv.org/abs/math/0504414
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74963
dc.subjectProbability
dc.subject15A52; 46L54; 60F99
dc.titleStrong asymptotic freeness for Wigner and Wishart matrices
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