Solesne Bourguin, Boston University

Title: Finitely many moments theorems on Markov chaos.

Abstract: In this talk, we show how to use the Markov diffusion generator framework introduced by Ledoux in order to obtain limit theorems for the approximation of invariant measures of diffusions, where a sufficient condition for convergence is given in terms of a finite linear combination of moments. We will illustrate these results for the Pearson class of probability measures, and recover classical results as particular cases.