Free Probability for Pairs of Faces I

被引：64

作者：

Voiculescu, Dan-Virgil ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2014年 / 332卷 / 03期

基金：

美国国家科学基金会;

关键词：

MULTIPLICATION;

D O I：

10.1007/s00220-014-2060-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a notion of bi-freeness for systems of non-commutative random variables with two faces, one of left variables and another of right variables. This includes bi-free convolution operations, bi-free cumulants, the bi-free central limit, and bi-freeness with amalgamation over an algebra B.

引用

页码：955 / 980

页数：26

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