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

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.

Published in:
Electronic Journal Of Probability, 20, 1-18
Year:
2015
Publisher:
Seattle, Univ Washington, Dept Mathematics
ISSN:
1083-6489
Keywords:
Laboratories: