A Free Probability Analogue of the Wasserstein Metric on the Trace-State Space

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dc.creatorBiane, Philippe
dc.creatorVoiculescu, Dan
dc.date2000-06-06
dc.date.accessioned2026-07-07T04:35:45Z
dc.date.available2026-07-07T04:35:45Z
dc.descriptionWe define a free probability analogue of the Wasserstein metric, which extends the classical one. In dimension one, we prove that the square of the Wasserstein distance to the semi-circle distribution is majorized by a modified free entropy quantity.
dc.description14 pages, Incomplete Preliminary Version
dc.identifierhttps://arxiv.org/abs/math/0006044
dc.identifierhttp://arxiv.org/abs/math/0006044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59360
dc.subjectOperator Algebras
dc.subject46L54; 60E99; 94A17
dc.titleA Free Probability Analogue of the Wasserstein Metric on the Trace-State Space
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