6 citations · 8 across the 2 of their papers we have counts for
6 papers
-convergence for a class of action functionals induced by gradients of convex functions
Luigi Ambrosio, Aymeric Baradat, Yann Brenier
Given a real function , the rate function for the large deviations of the diffusion process of drift given by the Freidlin-Wentzell theorem coincides with the time in…
Minimizing relative entropy of path measures under marginal constraints
Aymeric Baradat, Christian Léonard
We study generalizations of the Schrödinger problem in statistical mechanics in two directions: when the density is constrained at more than two times, and when the joint law of th…
Nonlinear instability in Vlasov type equations around rough velocity profiles
Aymeric Baradat
In the Vlasov-Poisson equation, every configuration which is homogeneous in space provides a stationary solution. Penrose gave in 1960 a criterion for such a configuration to be li…
Small noise limit and convexity for generalized incompressible flows, Schrödinger problems, and optimal transport
Aymeric Baradat, Léonard Monsaingeon
This paper is concerned with six variational problems and their mutual connections: The quadratic Monge-Kantorovich optimal transport, the Schrödinger problem, Brenier's relaxed mo…
On the existence of a scalar pressure field in the Brödinger problem
Aymeric Baradat
This work deals with the entropic regularization of the Brenier problem for perfect incompressible fluids introduced by Arnaudon, Cruzeiro, Léonard and Zambrini. We show that as in…
Continuous dependence of the pressure field with respect to endpoints for ideal incompressible fluids
Aymeric Baradat
In the Brenier variational model for perfect fluids, the datum is the joint law of the initial and final positions of the particles. In this paper, we show that both the optimal ac…