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On random walks in random scenery

F. M. Dekking·P. Liardet
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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.

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F. M. Dekking, P. Liardet. 2006-08-09. On random walks in random scenery. https://doi.org/10.1214/074921706000000068

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