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

2013/06/21 by Le, Thi Thu Hien
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1306.5152

Abstract

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

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