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Random matrices, random processes and integrable systems

Author: J P Harnad
Publisher: New York : Springer, ©2011.
Series: CRM series in mathematical physics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Random matrices, random processes and integrable systems provides an in-depth examination of random matrices with applications over a vast variety of domains, including multivariate statistics, random growth models, and many others. Leaders in the field apply the theory of integrable systems to the solution of fundamental problems in random systems and processes using an interdisciplinary approach that sheds new  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: J P Harnad
ISBN: 1441995137 9781441995131
OCLC Number: 706920609
Description: xviii, 524 pages : illustrations ; 24 cm.
Contents: Preface / John Harnad --
pt. I. Random matrices, random processes and integrable models: Random and integrable models in mathematics and physics / Pierre van Moerbeke --
Integrable systems, random matrices, and random processes / Mark Adler --
pt. II. Random matrices and applications: Integral operators in random matrix theory / Harold Widom --
Lectures on random matrix models / Pavel M. Bleher --
Large N asymptotics in random matrices / Alexander R. Its --
Formal matrix integrals and combinatorics of maps / B. Eynard --
Application of random matrix theory to multivariate statistics / Momar Dieng and Craig A. Tracy.
Series Title: CRM series in mathematical physics.
Responsibility: John Harnad, editor.
More information:

Abstract:

This book explores the remarkable connections between two domains that seem unrelated: random matrices and integrable systems. It applies the theory of integrable systems to the solution of  Read more...

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From the reviews:"The present volume consists of seven introductory articles originating from an intensive series of advanced courses given by the authors at the CRM in Montreal ... . All articles Read more...

 
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