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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Etat : New. Treats free probability theory, which has been extensively developed since the early 1980s. This work focuses on entropy and the random matrix model approach. It is suitable as a reference for mathematicians interested in free probability theory and can serve as a text for an advanced graduate course. Series: Mathematical Surveys and Monographs. Num Pages: 376 pages. BIC Classification: PBKF; PBT; PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 253 x 177 x 21. Weight in Grams: 702. . 2006. Paperback. . . . . N° de réf. du vendeur V9780821841358
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Einband - flex.(Paperback). Etat : New. Treats free probability theory, which has been extensively developed since the early 1980s. This work focuses on entropy and the random matrix model approach. It is suitable as a reference for mathematicians interested in free probability theory and can ser. N° de réf. du vendeur 880956205
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Etat : New. Treats free probability theory, which has been extensively developed since the early 1980s. This work focuses on entropy and the random matrix model approach. It is suitable as a reference for mathematicians interested in free probability theory and can serve as a text for an advanced graduate course. Series: Mathematical Surveys and Monographs. Num Pages: 376 pages. BIC Classification: PBKF; PBT; PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 253 x 177 x 21. Weight in Grams: 702. . 2006. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780821841358
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Paperback. Etat : New. 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. N° de réf. du vendeur LU-9780821841358
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