Abstract
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.
Information
Published: 1 January 2006
First available in Project Euclid: 28 November 2007
zbMATH: 1123.60073
MathSciNet: MR2306187
Digital Object Identifier: 10.1214/074921706000000068
Subjects:
Primary:
28D05
Keywords:
colour record
,
Random scenery
,
Random walk
,
skew product transformation
Rights: Copyright © 2006, Institute of Mathematical Statistics
