Young-Heon Kim, Jun Kitagawa
Published 2012-11-27Version 1
We extend a dimensional upper bound on how much an optimal transport map can degenerate for the quadratic transportation cost, originally due to Caffarelli, to cost functions that satisfy the curvature condition of Ma, Trudinger, and Wang.
Five lectures on optimal transportation: Geometry, regularity and applications
Bounds on optimal transport maps onto log-concave measures
Boundary $\varepsilon$-regularity in optimal transportation
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