Random walk in quasi-periodic random environment

Julien Brémont (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We consider a one-dimensional random walk with nite range in a random medium de- scribed by an ergodic translation on a torus. For regular data and under a Diophantine condition on the translation we prove a central limit theorem with deterministic centering.

Domaines: Systèmes dynamiques [math.DS]

Julien Brémont. Random walk in quasi-periodic random environment. Stochastics and Dynamics, 2009, 9 (1), pp.47-70. ⟨hal-00794132⟩