On the continuity of lyapunov exponents of random walks in random potentials

Abstract

We consider a simple random walk in an i.i.d. non-negative potential on the d-dimensional integer lattice, $d\ge 3$. We study the quenched Lyapunov exponents, and present a probabilistic proof of its continuity when the potentials converge in distribution.

24p

Cited by in corpus (1)

• Strict comparison for the Lyapunov exponents of the simple random walk in random potentials