Free monotone transport

By solving a free analog of the Monge-Ampère equation, we prove a non-commutative analog of Brenier's monotone transport theorem: if an n-tuple of self-adjoint non-commutative random variables Z [subscript 1],...,Z [subscript n] satisfies a regularity condition (its conjugate variables ξ [subs...

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Bibliographic Details
Main Authors: Guionnet, Alice (Contributor), Shlyakhtenko, D. (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer-Verlag Berlin Heidelberg, 2015-01-15T17:23:51Z.
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