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Large Random Matrices: Lectures on Macroscopic Asymptotics

École d'Été de Probabilités de Saint-Flour XXXVI – 2006

Large Random Matrices: Lectures on Macroscopic Asymptotics by Alice Guionnet
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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.

Springer Berlin Heidelberg; April 2009
296 pages; ISBN 9783540698975
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Title: Large Random Matrices: Lectures on Macroscopic Asymptotics
Author: Alice Guionnet
 
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9783540698968
9783540698975