Bounds on optimal transport maps onto log-concave measures
Analysis of PDEs
2019-10-22 v1
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.
Keywords
Cite
@article{arxiv.1910.09035,
title = {Bounds on optimal transport maps onto log-concave measures},
author = {Maria Colombo and Max Fathi},
journal= {arXiv preprint arXiv:1910.09035},
year = {2019}
}