Free Probability and Random Matrices
暫譯: 自由機率與隨機矩陣

Mingo, James A., Speicher, Roland

  • 出版商: Springer
  • 出版日期: 2018-07-27
  • 售價: $6,540
  • 貴賓價: 9.5$6,213
  • 語言: 英文
  • 頁數: 336
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1493983466
  • ISBN-13: 9781493983469
  • 海外代購書籍(需單獨結帳)

商品描述

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.

商品描述(中文翻譯)

本卷向各類讀者開啟了自由機率的世界。自由機率源於算子代數理論,與不交叉分割、隨機矩陣、無線通信的應用、大群體的表示理論、量子群、不可約子空間問題、大偏差、子因子等交織在一起。本書特別強調自由機率與隨機矩陣之間的關係,但也觸及了該理論的算子代數、組合和分析方面。

本書作為結合教材與研究專著,包含獨立的章節、散佈於文本中的練習題,以及對該理論重要進展的涵蓋。它將吸引研究生以及所有對隨機矩陣和自由機率感興趣的數學家,無論是從算子代數、組合學、分析函數,還是工程和統計物理的應用角度。