Lectures on the Combinatorics of Free Probability (London Mathematical Society Lecture Note Series, Series Number 335) - Softcover

Nica, Alexandru

Softcover

ISBN 10: 0521858526 ISBN 13: 9780521858526

Publisher: Cambridge University Press, 2006

Synopsis

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 book is the first to give 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.

About this title

Book Description

This 2006 book gives a self-contained and comprehensive introduction to free probability theory and has its main focus on the combinatorial aspects. It can be used as a textbook for an introductory graduate level course, and is also well-suited for the individual study of free probability.

About the Author

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2006
• ISBN 10: 0521858526
• ISBN 13: 9780521858526
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 434