书目名称 | Free Probability and Random Matrices | 编辑 | James A. Mingo,Roland Speicher | 视频video | | 概述 | 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 f | 丛书名称 | Fields Institute Monographs | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2017 | 关键词 | Guassian random matrices; free central limit theorem; free harmonic analysis; Cauchy transform; asymptot | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4939-6942-5 | isbn_softcover | 978-1-4939-8346-9 | isbn_ebook | 978-1-4939-6942-5Series ISSN 1069-5273 Series E-ISSN 2194-3079 | issn_series | 1069-5273 | copyright | Springer Science+Business Media LLC 2017 |
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