A Remark on Random Walks in Fluctuating Random Media: the Independent Case

#### M.S. Bernabei

1997, v.3, №3, 377-388

ABSTRACT

We study a discrete time random walk on the lattice $Z^\nu$, in mutual interaction with a dynamical random field (environment). We assume that the unperturbed environment is given by a collection of independent and identically distributed random variables, and that the interaction is strictly local. We extend previous results by proving the central limit theorem for the particle position, if we replace the smalless of the perturbation by general nondegeneracy conditions.

Keywords: random walk,random environment,diffusion,central limit theorem