Publication

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

Thomas Mountford, Jean-Christophe Mourrat
2015
Journal Articles

Abstract

We consider the simple random walk on Z(d) evolving in a random i.i.d. potential taking values in [0, +infinity). The potential is not assumed integrable, and can be rescaled by a multiplicative factor lambda > 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 lambda tends to zero.

Official source

https://infoscience.epfl.ch/entities/publication/f4b73549-3f25-460a-9d68-4fe874624d44

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

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