Lectures on the Combinatorics of Free Probability

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Alexandru Nica (University of Waterloo, Ontario) Roland Speicher (Queen's University, Ontario)

Lectures on the Combinatorics of Free Probability

Alexandru Nica (University of Waterloo, Ontario), Roland Speicher (Queen's University, Ontario), N. J. Hitchin

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English

Cambridge University Press
07 September 2006

Probability & statistics; Combinatorics & graph theory

Series: London Mathematical Society Lecture Note Series

Free Probability Theory studies a special class of 'noncommutative'random variables, which appear in the context of operators on Hilbert spaces and in one of the large random matrices. Since its emergence in the 1980s, free probability has evolved into an established field of mathematics with strong connections to other mathematical areas, such as operator algebras, classical probability theory, random matrices, combinatorics, representation theory of symmetric groups. Free probability also connects to more applied scientific fields, such as wireless communication in electrical engineering. This 2006 book gives a self-contained and comprehensive introduction to free probability theory which has its main focus on the combinatorial aspects. The volume is designed so that it can be used as a text for an introductory course (on an advanced undergraduate or beginning graduate level), and is also well-suited for the individual study of free probability.

By: Alexandru Nica (University of Waterloo Ontario), Roland Speicher (Queen's University, Ontario)
Series edited by: N. J. Hitchin
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 335
Dimensions: Height: 229mm, Width: 152mm, Spine: 25mm
Weight: 630g
ISBN: 9780521858526
ISBN 10: 0521858526
Series: London Mathematical Society Lecture Note Series
Pages: 434
Publication Date: 07 September 2006
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Alexandru Nica is a Professor of Mathematics at the University of Waterloo, Ontario. Roland Speicher is a Professor of Mathematics at Queen's University, Kingston.

Reviews for Lectures on the Combinatorics of Free Probability

This book is an absolutely indispensable resource for anyone who works in free probability theory, as well as those (advanced undergraduates or graduate students, or professional researchers) newly initiated in the field. Lectures on the Combinatorics of Free Probabilityis sure to be considered one of the important informative texts in this rapidly growing field of study, and it is highly recommended for any reader or researcher in the field. Todd Kemp, Mathematical Reviews