Affiliations: [a] Department of Mathematics and Institute of Physical Science and Technology, University of Maryland, College Park, MD, 20742, USA | [b] School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, Great Britain
Abstract: We consider recurrent diffusive random walks on a strip. We present constructive conditions on Green functions of finite sub-domains which imply a Central Limit Theorem with polynomial error bound, a Local Limit Theorem, and mixing of environment viewed by the particle process. Our conditions can be verified for a wide class of environments including independent environments, quasiperiodic environments, and environments which are asymptotically constant at infinity. The conditions presented deal with a fixed environment, in particular, no stationarity conditions are imposed.
Keywords: Random walks on a strip, Green function, RWRE, CLT, Local Limit Theorem, environment viewed from the particle
