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arXiv · 1306.5152

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

Thi Thu Hien Le
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Abstract

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

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Thi Thu Hien Le. 2013-06-21. On the continuity of lyapunov exponents of random walks in random potentials. https://arxiv.org/abs/1306.5152

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