EVENT DETAILS AND ABSTRACT

Title: Crossing velocities of random walks in a random potential
Speaker: Elena Kosygina
Speaker Info: Baruch College, CUNY
Brief Description:
Special Note:
Abstract:

We consider random walks in an i.i.d. non-negative potential on the d-dimensional integer lattice. The walks are conditioned to hit a remote location and are studied under the annealed path measure. We show that the expected time to reach y increases only linearly in |y| so that the walk is ballistic in all dimensions. In dimension one we prove the existence of the asymptotic speed as y goes to infinity. Joint work with Thomas Mountford (EPFL, Switzerland).