On Lyapunov exponents of Green's function for diffusions and random walks in a random potential

MATHEMATICAL PHYSICS SEMINAR
Topic:On Lyapunov exponents of Green's function for diffusions and random walks in a random potential
Speaker:Elena Kosygina
Affiliation:Baruch College, CUNY and Member, School of Mathematics
Date:Friday, February 27
Time/Room:4:00pm - 5:00pm/S-101

The talk will consist of two parts. At first, we shall review connections between Lyapunov exponents, large deviations for diffusions in random media, and the homogenization problem for some stochastic Hamilton-Jacobi-Bellman equations. The second part of the talk will discuss results of the joint work with T. Mountford (EPFL) and M. Zerner (University of Tuebingen) concerning the behavior of quenched and averaged Lyapunov exponents for random walks on Z^d in small i.i.d. potentials.