4/30/2003

S.R. Srinivasa Varadhan
New York University

We will discuss results on the large deviation behavior of Random Walks in a Random Environment. These concern the quenched walk  that have an almost sure large deviation behavior and the averaged walk that exhibits a large deviation behavior that could be partly due to large deviations in the environment itself. The quenched case has connections to homogenization of random Hamilton Jacobi equations with small viscosity.