Random walks in space time mixing environments

Abstract

We prove that random walks in random environments, that are exponentially mixing in space and time, are almost surely diffusive, in the sense that their scaling limit is given by the Wiener measure.

28 pages

References in corpus (4)

• High Temperature Expansions and Dynamical Systems
• Coupled Analytic Maps
• Random walk in Markovian environment
• Random Walk in deterministically changing environment

Cited by in corpus (11)

• Random walks in dynamic random environments: A transference principle
• Energy transfer in a fast-slow Hamiltonian system
• Random walk driven by the simple exclusion process
• 'Return to equilibrium' for weakly coupled quantum systems: a simple polymer expansion
• Transient random walk in symmetric exclusion: limit theorems and an Einstein relation
• Continuity and anomalous fluctuations in random walks in dynamic random environments: numerics, phase diagrams and conjectures
• Analysis of random walks in dynamic random environments via $L^2$-perturbations
• Diffusion in Energy Conserving Coupled Maps
• Diffusion for a quantum particle coupled to phonons in $d\ge 3$
• Invariant distributions and scaling limits for some diffusions in time-varying random environments
• Absolute Continuity and Weak Uniform Mixing of Random Walk in Dynamic Random Environment