Free Probability for Pairs of Faces I
Operator Algebras
2015-06-16 v1 Probability
Abstract
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 and the bi-free central limit.
Keywords
Cite
@article{arxiv.1306.6082,
title = {Free Probability for Pairs of Faces I},
author = {Dan-Virgil Voiculescu},
journal= {arXiv preprint arXiv:1306.6082},
year = {2015}
}
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33 pages