Lucas Journel
Biography
Bio: Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris
Title: The sampling of singular Gibbs measure
Abstract:
In this talk, we will be interested in sampling the Gibbs measure
for singular potential 
I will present how to derive a ’Talay-Tubaro’
expansion of the invariant measure for some numerical scheme of the Langevin Process
for a class of potential containing the case of n particles with pairwise interaction
through the Lennard-Jones potential, in some confining potential. This involves studying
the long-term behavior of the semi-group of the Langevin process in weighted Sobolev
spaces.
