The Semicircle Law, Free Random Variables and Entropy Paperback / softback
by Fumio Hiai, Petz Denes
Part of the Mathematical Surveys and Monographs series
Paperback / softback
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Description
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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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:376 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/2006
- Category:
- ISBN:9780821841358
Other Formats
- PDF from £88.20
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:376 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/2006
- Category:
- ISBN:9780821841358
