English

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

Probability 2013-08-26 v4

Abstract

We consider a simple random walk in an i.i.d. non-negative potential on the d-dimensional integer lattice, d3d\geq 3. We study the quenched Lyapunov exponents, and present a probabilistic proof of its continuity when the potentials converge in distribution.

Keywords

Cite

@article{arxiv.1306.5152,
  title  = {On the continuity of lyapunov exponents of random walks in random potentials},
  author = {Thi Thu Hien Le},
  journal= {arXiv preprint arXiv:1306.5152},
  year   = {2013}
}

Comments

24p