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math.OA2021★ 12 cited
Duality for optimal couplings in free probability
Wilfrid Gangbo, David Jekel, Kyeongsik Nam +1
We study the free probabilistic analog of optimal couplings for the quadratic cost, where classical probability spaces are replaced by tracial von Neumann algebras, and probability…
math.OA2021
Tracial smooth functions of non-commuting variables and the free Wasserstein manifold
David Jekel, Wuchen Li, Dimitri Shlyakhtenko
We formulate a free probabilistic analog of the Wasserstein manifold on (the formal Riemannian manifold of smooth probability densities on ), and we us…