The Semicircle Law, Free Random Variables and Entropy

Language: English

Published by American Mathematical Society, US, 2006

0821841351 / 9780821841358

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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.

Seller Inventory # LU-9780821841358

Title
The Semicircle Law, Free Random Variables and Entropy
Author
Fumio Hiai, Petz Denes
Publisher
American Mathematical Society, US
Publication year
2006
Condition
New
Binding
Paperback
Language
English
ISBN 10
0821841351
ISBN 13
9780821841358
Item weight
704 grams

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