We consider the simple random walk on Zd 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.
- Anderson model
- Lyapunov exponents
- Random walk in random potential
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty