Open Access
VOL. 48 | 2006 On random walks in random scenery
F. M. Dekking, P. Liardet

Editor(s) Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy

IMS Lecture Notes Monogr. Ser., 2006: 47-52 (2006) DOI: 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.


Published: 1 January 2006
First available in Project Euclid: 28 November 2007

zbMATH: 1123.60073
MathSciNet: MR2306187

Digital Object Identifier: 10.1214/074921706000000068

Primary: 28D05

Keywords: colour record , Random scenery , Random walk , skew product transformation

Rights: Copyright © 2006, Institute of Mathematical Statistics

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