Random-walks in Asymmetric Random-environments

Bricmont, Jean;Kupiainen, Antti
(1991) Communications in Mathematical Physics — Vol. 142, n° 2, p. 345-420 (1991)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 3.18 MB
Request a copy

Details

Authors
  • Bricmont, JeanUCLouvain
    Author
  • Kupiainen, AnttiUCLouvain
    Author
Abstract
We consider random walks on Z(d) with transitions rates p(x, y) given by a random matrix. If p is a small random perturbation of the simple random walk, we show that the walk remains diffusive for almost all environments p if d > 2. The result also holds for a continuous time Markov process with a random drift. The corresponding path space measures converge weakly, in the scaling limit, to the Wiener process, for almost every p.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Bricmont, J., & Kupiainen, A. (1991). Random-walks in Asymmetric Random-environments. Communications in Mathematical Physics, 142(2), 345-420. https://doi.org/10.1007/BF02102067 (Original work published 1991)