Lyapunov exponents of random walks in small random potential: The upper bound

Thomas Mountford; Jean Christophe Mourrat

doi:10.1214/EJP.v20-3489

Lyapunov exponents of random walks in small random potential: The upper bound

Thomas Mountford, Jean Christophe Mourrat

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the simple random walk on Z^d evolving in a random i.i.d. potential taking values in [0;+∞). The potential is not assumed integrable, and can be rescaled by a multiplicative factor λ > 0. Completing the work started in a companion paper, we give the asymptotic behaviour of the Lyapunov exponents for d ≥ 3, both annealed and quenched, as the scale parameter λ tends to zero.

Original language	English (US)
Article number	49
Pages (from-to)	1-18
Number of pages	18
Journal	Electronic Journal of Probability
Volume	20
DOIs	https://doi.org/10.1214/EJP.v20-3489
State	Published - 2015

Keywords

Anderson model
Lyapunov exponents
Random walk in random potential

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/EJP.v20-3489

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Lyapunov exponents of random walks in small random potential: The upper bound

Abstract

Keywords

ASJC Scopus subject areas

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