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The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys and Monographs) - Softcover

Hiai, Fumio; Petz, Denes

 
9780821841358: The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys and Monographs)
Softcover
ISBN 10: 0821841351 ISBN 13: 9780821841358
Verlag: American Mathematical Society, 2006

Inhaltsangabe

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.

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Verlag
American Mathematical Society
Erscheinungsdatum
2006
Sprache
Englisch
ISBN 10 
0821841351
ISBN 13 
9780821841358
Einband
Taschenbuch
Anzahl der Seiten
376
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
preigu
mail@preigu.de

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