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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Springer-Verlag Berlin Heidelberg,
2015-01-15T17:23:51Z.
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Subjects: | |
Online Access: | Get fulltext |