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VOL. 57 | 2009 From Charged Polymers to Random Walk in Random Scenery

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

Rights: Copyright © 2009, Institute of Mathematical Statistics

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