Free random variables : a noncommutative probability approach to free products with applications to random matrices, operator algebras, and harmonic analysis on free groups
著者
書誌事項
Free random variables : a noncommutative probability approach to free products with applications to random matrices, operator algebras, and harmonic analysis on free groups
（CRM monograph series, v. 1）
American Mathematical Society, c1992
注記
Includes bibliographical references (p. 69-70)
内容説明・目次
内容説明
This book presents the first comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. Basic examples of this kind of theory are provided by convolution operators on free groups and by the asymptotic behavior of large Gaussian random matrices. The probabilistic approach to free products has led to a recent surge of new results on the von Neumann algebras of free groups. The book is ideally suited as a textbook for an advanced graduate course and could also provide material for a seminar. In addition to researchers and graduate students in mathematics, this book will be of interest to physicists and others who use random matrices.
目次
Free products Free random variables in noncommutative probability theory Free harmonic analysis Random matrices and asymptotic freeness Free product factors.
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