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Fields Institute Monographs

Free Probability and Random Matrices

Authors: Mingo, James A., Speicher, Roland

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  • 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
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eBook £79.50
price for United Kingdom (gross)
  • ISBN 978-1-4939-6942-5
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £99.99
price for United Kingdom (gross)
  • ISBN 978-1-4939-6941-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover £99.99
price for United Kingdom (gross)
  • ISBN 978-1-4939-8346-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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

“This book is an excellent survey, respectively introduction, into recent developments in free probability theory and its applications to random matrices. The authors superbly guide the reader through a number of important examples and present a carefully selected list of 207 relevant publications.” (Ludwig Paditz, zbMATH 1387.60005, 2018)

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook £79.50
price for United Kingdom (gross)
  • ISBN 978-1-4939-6942-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £99.99
price for United Kingdom (gross)
  • ISBN 978-1-4939-6941-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover £99.99
price for United Kingdom (gross)
  • ISBN 978-1-4939-8346-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Free Probability and Random Matrices
Authors
Series Title
Fields Institute Monographs
Series Volume
35
Copyright
2017
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media LLC
eBook ISBN
978-1-4939-6942-5
DOI
10.1007/978-1-4939-6942-5
Hardcover ISBN
978-1-4939-6941-8
Softcover ISBN
978-1-4939-8346-9
Series ISSN
1069-5273
Edition Number
1
Number of Pages
XIV, 336
Number of Illustrations
45 b/w illustrations
Topics