Detalls del llibre
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.
Llegir més - Autors Fumio Hiai, Petz Denes
- ISBN13 9780821841358
- ISBN10 0821841351
- Pàgines 376
- Any Edició 2026
- Fecha de publicación 03/05/2026
- Idioma Alemany, Francès
Ressenyes i valoracions
Semicircle Law, Free Random Variables and Entropy (Alemany, Francès)
- De
- Fumio Hiai, Petz Denes
- |
- American Mathematical Society (2026)
- 9780821841358



