45 citations · 94 across the 16 of their papers we have counts for
24 papers
Monge-Ampère gravitating fluids. Least action principles and particle systems
Christian Léonard, Roya Mohayaee
The Monge-Ampère gravitation theory (MAG) was introduced by Brenier in 2011 to obtain an approximate solution of the early Universe reconstruction problem. It is a modification of…
Time reversal of Markov processes with jumps under a finite entropy condition
Giovanni Conforti, Christian Léonard
Motivated by entropic optimal transport, time reversal of Markov jump processes in is investigated. Relying on an abstract integration by parts formula for the carré…
Feynman-Kac formula under a finite entropy condition
Christian Léonard
Motivated by entropic optimal transport, we investigate an extended notion of solution to the parabolic equation with a final boun…
Time reversal of diffusion processes under a finite entropy condition
Patrick Cattiaux, Giovanni Conforti, Ivan Gentil +1
Motivated by entropic optimal transport, time reversal of diffusion processes is revisited. An integration by parts formula is derived for the carré du champ of a Markov process 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…
Revisiting Fortet's proof of existence of a solution to the Schrödinger system
Christian Léonard
Since a few years, the Schrödinger problem captures the attention of a growing community of mathematicians interested in optimal transport problems. The first result of existence o…