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Free Random Variables
Dan V. Voiculescu
K. J. Dykema
A. Nica
出版
American Mathematical Soc.
, 1992
主題
Mathematics / Algebra / General
Mathematics / Calculus
Mathematics / Probability & Statistics / General
ISBN
0821811401
9780821811405
URL
http://books.google.com.hk/books?id=r7BJAwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.