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math.PR2022★ 2 cited
Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability
Alberto Chiarini, Giovanni Conforti, Giacomo Greco +1
We show convergence of the gradients of the Schrödinger potentials to the Brenier map in the small-time limit under general assumptions on the marginals, which allow for unbounded…
math.PR2022
Viscosity solutions of Hamilton-Jacobi equation in spaces and applications to large deviations
Nicola Gigli, Luca Tamanini, Dario Trevisan
The aim of this paper is twofold. - In the setting of RCD(K,) metric measure spaces, we derive uniform gradient and Laplacian contraction estimates along solutions of the v…