Abstract
We prove that two seemingly-different models of random walk in random environment are generically quite close to one another. One model comes from statistical physics, and describes the behavior of a randomly-charged random polymer. The other model comes from probability theory, and was originally designed to describe a large family of asymptotically self-similar processes that have stationary increments.
Information
Published: 1 January 2009
First available in Project Euclid: 3 August 2009
zbMATH: 1271.60106
Digital Object Identifier: 10.1214/09-LNMS5714
Subjects:
Primary:
60K35
Secondary:
60K37
Keywords:
polymer measures
,
Random walk in random scenery
Rights: Copyright © 2009, Institute of Mathematical Statistics