The Semicircle Law, Free Random Variables and Entropy - Couverture souple

Hiai, Fumio; Denes, Petz

 
9780821841358: The Semicircle Law, Free Random Variables and Entropy
Couverture souple
ISBN 10 : 0821841351 ISBN 13 : 9780821841358
Editeur : American Mathematical Society, 2006

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2006
Langue
anglais
ISBN 10 
0821841351
ISBN 13 
9780821841358
Reliure
Broché
Nombre de pages
376
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780821820810: The Semicircle Law, Free Random Variables, and Entropy

Edition présentée

ISBN 10 :  0821820818 ISBN 13 :  9780821820810
Editeur : American Mathematical Society, 2000
Couverture rigide