Free probability theory

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Free probability theory / Dan-Virgil Voiculescu, editor

資料種別:: 図書
出版情報:: Providence, RI : American Mathematical Society, c1997
形態:: vii, 312 p. ; 26cm
シリーズ名:: Fields Institute communications ; v. 12 <BA21942251>
著者名:: Voiculescu, D. V. (Dan V.), 1949- <DA07328271>
ISBN:: 9780821806753 [0821806750] (: alk. paper)
書誌ID:: BA29374094

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注記:

Papers from a workshop on random matrices and operator algebra free products held Mar. 1995 at the Fields Institute
Includes bibliographical references

主題:

Free products (Group theory)--Congresses; Operator algebras--Congresses; Selfadjoint operators--Congresses

言語:

英語

目次情報:

Free Brownian motion, free stochastic calculus, and random matrices / P. Biane

Large $N$ quantum field theory and matrix models / M. R. Douglas

Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states / K. Dykema

Amalgamated free product $C^*$-algebras and $KK$-theory / E. C. Germain

Connexion coefficients for the symmetric group, free products in operator algebras, and random matrices / I. P. Goulden ; D. M. Jackson

On Voiculescu's $R$- and $S$-transforms for free noncommuting random variables / U. Haagerup

$R$-diagonal pairs-A common approach to Haar unitaries and circular elements / A. M. Nica ; R. Speicher

A class of $C$*-algebras generalizing both Cuntz-Krieger algebras and crossed products by${\mathbb Z}$ / M. V. Pimsner

An invariant for subfactors in the von Neumann algebra of a free group / F. Radulescu

Limit distributions of matrices with bosonic and fermionic entries / D. Y. Shlyakhtenko

$R$-transform of certain joint distributions

On universal products

Boolean convolution / R. Woroudi

States and shifts on infinite free products of $C$*-algebras / E. Stormer

The analogues of entropy and of Fisher's information measure in free probability theory. IV: Maximum entropy and freeness / D. Voiculescu

Universal correlation in random matrix theory: A brief introduction for mathematicians / A. Zee

Free Brownian motion, free stochastic calculus, and random matrices / P. Biane

Large $N$ quantum field theory and matrix models / M. R. Douglas

Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states / K. Dykema

Amalgamated free product $C^*$-algebras and $KK$-theory / E. C. Germain

Connexion coefficients for the symmetric group, free products in operator algebras, and random matrices / I. P. Goulden ; D. M. Jackson

On Voiculescu's $R$- and $S$-transforms for free noncommuting random variables / U. Haagerup

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