Authors:
- Covers a variety of different facets of free probability, giving a flavor of the breadth of the subject
- Features exercises scattered throughout the text
- Showcases basic ideas and results in order to focus on their relation
- Includes supplementary material: sn.pub/extras
Part of the book series: Fields Institute Monographs (FIM, volume 35)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
This volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications, representation theory of large groups, quantum groups, the invariant subspace problem, large deviations, subfactors, and beyond. This book puts a special emphasis on the relation of free probability to random matrices, but also touches upon the operator algebraic, combinatorial, and analytic aspects of the theory.
The book serves as a combination textbook/research monograph, with self-contained chapters, exercises scattered throughout the text, and coverage of important ongoing progress of the theory. It will appeal to graduate students and all mathematicians interested in random matrices and free probability from the point of view of operator algebras, combinatorics, analytic functions, or applications in engineering and statistical physics.
Reviews
Authors and Affiliations
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Department of Mathematics and Statistics, Queen’s University, Kingston, Canada
James A. Mingo
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FB Mathematik, Universität des Saarlandes, Saarbrücken, Germany
Roland Speicher
Bibliographic Information
Book Title: Free Probability and Random Matrices
Authors: James A. Mingo, Roland Speicher
Series Title: Fields Institute Monographs
DOI: https://doi.org/10.1007/978-1-4939-6942-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media LLC 2017
Hardcover ISBN: 978-1-4939-6941-8Published: 26 June 2017
Softcover ISBN: 978-1-4939-8346-9Published: 27 July 2018
eBook ISBN: 978-1-4939-6942-5Published: 24 June 2017
Series ISSN: 1069-5273
Series E-ISSN: 2194-3079
Edition Number: 1
Number of Pages: XIV, 336
Number of Illustrations: 45 b/w illustrations
Topics: Probability Theory and Stochastic Processes, Functional Analysis