Preprint:
From charged polymers to random walk in random scenery

Xia Chen and Davar Khoshnevisan

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.

Keywords. Polymer measures, random walk in random scenery

AMS Classification (2000) Primary: 60K35; Secondary: 60K37.

Support. Research supported by grants DMS-0704024 (XC) and DMS-0706728 (DK) from the National Science Foundation.

Pre/E-Prints. This paper is available in

Xia Chen
Department of Mathematics
University of Tennessee
Knoxville, TN 37996-1300
xchen@math.utk.edu		 Davar Khoshnevisan
Department of Mathematics
University of Utah
155 S, 1400 E JWB 233
Salt Lake City, UT 84112-0090, U.S.A.
davar@math.utah.edu

Last Update: September 25, 2008
© 2008 - Xia Chen and Davar Khoshnevisan