Buongiorno sotto l'annuncio di un seminario per Lunedi' 13 Gennaio Grazie Saluti Alessandra **************************************************************************************

When: Monday 13 January, 16.00

Where: Sala di Consiglio, Department of Mathematics, University La Sapienza

Speaker: Maria Gordina (University of Connecticut)

Title: Ergodicity for Langevin dynamics with singular potentials

Abstract: We discuss Langevin dynamics of N particles on R^d interacting through a singular repulsive potential, such as the Lennard-Jones potential, and show that the system converges to the unique invariant Gibbs measure exponentially fast in a weighted total variation distance. The proof relies on an explicit construction of a Lyapunov function using a modified Gamma calculus. In contrast to previous results for such systems, our results imply geometric convergence to equilibrium starting from an essentially optimal family of initial distributions. This is based on join work with F.Baudoin and D.Herzog.