Laurent Michel(UNSA)
"Analyse semiclassique de l'algorithme de Metropolis sur un domaine borné"

We consider the semiclassical Metropolis operator on a bounded domain. We obtain a precise description of its spectrum that give useful bounds on rates of convergence for the Metropolis algorithm. As an example, we treat the random placement of N hard discs in the unit square, the original application of the Metropolis algorithm. This is a joint work with P. Diaconis and G. Lebeau.