Abstract
We consider random walks in a random environment of the type p0+γξz, where p0 denotes the transition probabilities of a stationary random walk on ℤd, to nearest neighbors, and ξz is an i.i.d. random perturbation. We give an explicit expansion, for small γ, of the asymptotic speed of the random walk under the annealed law, up to order 2. As an application, we construct, in dimension d≥2, a walk which goes faster than the stationary walk under the mean environment.
Citation
Christophe Sabot. "Ballistic random walks in random environment at low disorder." Ann. Probab. 32 (4) 2996 - 3023, October 2004. https://doi.org/10.1214/009117904000000739
Information