On random walks in random scenery

Details On random walks in random scenery On random walks in random scenery

2006-08-09

arxiv.org/abs/math/0608218v1

IMS Lecture Notes--Monograph Series 2006, Vol. 48, 47-52

Mathematics

Dynamical Systems

Published at http://dx.doi.org/10.1214/074921706000000068 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/

Scientific paper

10.1214/074921706000000068

This paper considers 1-dimensional generalized random walks in random
scenery. That is, the steps of the walk are generated by an arbitrary
stationary process, and also the scenery is a priori arbitrary stationary.
Under an ergodicity condition--which is satisfied in the classical case--a
simple proof of the distinguishability of periodic sceneries is given.

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