On random walks in random scenery
Dynamical Systems
2007-05-23 v1 Probability
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.
Cite
@article{arxiv.math/0608218,
title = {On random walks in random scenery},
author = {F. M. Dekking and P. Liardet},
journal= {arXiv preprint arXiv:math/0608218},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/074921706000000068 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)