Large random matrices : lectures on macroscopic asymptotics : école d'été de probabilités de Saint-Flour XXXVI-2006 / Alice Guionnet

Auteur principal collectivité : école d'été de probabilités de Saint-Flour, 36, 2006, AuteurCo-auteur : Guionnet, Alice, 1969-, AuteurType de document : CongrèsCollection : Lecture notes in mathematics, 1957Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, 2009Description : 1 vol. (XII-294 p.) : fig. ; 24 cmISBN: 9783540698968.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 274-285. Index.Sujet MSC : 60-02, Research exposition (monographs, survey articles) pertaining to probability theory
82-02, Research exposition (monographs, survey articles) pertaining to statistical mechanics
15-02, Research exposition (monographs, survey articles) pertaining to linear algebra
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Bibliogr. p. 274-285. Index

Random matrix theory has developed in the last few years, in connection with various fields of mathematics and physics. These notes emphasize the relation with the problem of enumerating complicated graphs, and the related large deviations questions. Such questions are also closely related with the asymptotic distribution of matrices, which is naturally defined in the context of free probability and operator algebra.
The material of this volume is based on a series of nine lectures given at the Saint-Flour Probability Summer School 2006. Lectures were also given by Maury Bramson and Steffen Lauritzen. (Source : 4ème de couverture)

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