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Free transportation cost inequalities for non-commutative multi-variables

Fumio Hiai·Yoshimichi Ueda
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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.

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Fumio Hiai, Yoshimichi Ueda. 2005-01-16. Free transportation cost inequalities for non-commutative multi-variables. https://doi.org/10.1142/s0219025706002457

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