Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards

@inproceedings{Cometsa2012BallisticRF,
title={Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards},
author={Francis Cometsa and Serguei Popovb},
year={2012}
}

Francis Cometsa, Serguei Popovb

Published 2012

We consider a random walk in a stationary ergodic environment in Z, with unbounded jumps. In addition to uniform ellipticity and a bound on the tails of the possible jumps, we assume a condition of strong transience to the right which implies that there are no “traps.” We prove the law of large numbers with positive speed, as well as the ergodicity of the environment seen from the particle. Then, we consider Knudsen stochastic billiard with a drift in a random tube in Rd , d ≥ 3, which serves… CONTINUE READING