Overview

The book treats free probability theory, which has been extensively developed since the early 1980s. The emphasis is put on entropy and the random matrix model approach. The volume is a unique presentation demonstrating the extensive interrelation between the topics. Wigner's theorem and its broad generalizations, such as asymptotic freeness of independent matrices, are explained in detail. Consistent throughout the book is the parallelism between the normal and semicircle laws. Voiculescu's multivariate free entropy theory is presented with full proofs and extends the results to unitary operators. Some applications to operator algebras are also given. Based on lectures given by the authors in Hungary, Japan, and Italy, the book is a good reference for mathematicians interested in free probability theory and can serve as a text for an advanced graduate course.

Full Product Details

Author:   Fumio Hiai ,  Petz Denes
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   New edition
Volume:   No. 77
Dimensions:   Width: 17.70cm , Height: 2.00cm , Length: 25.30cm
Weight:   0.704kg
ISBN:  

9780821841358

ISBN 10:   0821841351
Pages:   376
Publication Date:   30 March 2006
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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