The Semicircle Law, Free Random Variables and Entropy (Paperback, New edition)

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.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Mathematical Surveys and Monographs
Release date:	2007
Authors:	Fumio Hiai • Petz Denes
Dimensions:	253 x 177 x 21mm (L x W x T)
Format:	Paperback
Pages:	376
Edition:	New edition
ISBN-13:	978-0-8218-4135-8
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General Promotions
LSN:	0-8218-4135-1
Barcode:	9780821841358

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