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arXiv · 1910.09035

Bounds on optimal transport maps onto log-concave measures

Maria Colombo·Max Fathi
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Abstract

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.

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Maria Colombo, Max Fathi. 2019-10-20. Bounds on optimal transport maps onto log-concave measures. https://arxiv.org/abs/1910.09035

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