61 citations · 174 across the 27 of their papers we have counts for
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math.AP2019
Bounds on optimal transport maps onto log-concave measures
Maria Colombo, Max Fathi
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,…
math.PR2019★ 8 cited
Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces
Matthias Erbar, Max Fathi, André Schlichting
We consider non-linear evolution equations arising from mean-field limits of particle systems on discrete spaces. We investigate a notion of curvature bounds for these dynamics bas…
math.PR2019★ 3 cited
A proof of the Caffarelli contraction theorem via entropic regularization
Max Fathi, Nathael Gozlan, Maxime Prodhomme
We give a new proof of the Caffarelli contraction theorem, which states that the Brenier optimal transport map sending the standard Gaussian measure onto a uniformly log-concave pr…