Free transportation cost inequalities for non-commutative multi-variables
Operator Algebras
2019-05-21 v1 Probability
Abstract
We prove the free analogue of the transportation cost inequality for tracial distributions of non-commutative self-adjoint (also unitary) multi-variables based on random matrix approximation procedure.
Keywords
Cite
@article{arxiv.math/0501238,
title = {Free transportation cost inequalities for non-commutative multi-variables},
author = {Fumio Hiai and Yoshimichi Ueda},
journal= {arXiv preprint arXiv:math/0501238},
year = {2019}
}