On the degeneracy of optimal transportation
classification
🧮 math.AP
keywords
costoptimaltransportationboundcaffarelliconditioncurvaturedegeneracy
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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.
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