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The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys and Monographs)
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Description for The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys and Monographs)
Paperback. 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.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2006
Publisher
American Mathematical Society
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
376
Place of Publication
Providence, United States
ISBN
9780821841358
SKU
V9780821841358
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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