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arXiv:1910.09035 [math.AP]AbstractReferencesReviewsResources

Bounds on optimal transport maps onto log-concave measures

Maria Colombo, Max Fathi

Published 2019-10-20Version 1

We consider strictly log-concave measures, whose bounds degenerate at infinity. We prove that the optimal transport map from the Gaussian onto such a measure is locally Lipschitz, and that the eigenvalues of its Jacobian have controlled growth at infinity.

Categories: math.AP
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