On random walks in random scenery

DOI10.1214/074921706000000068zbMATH Open1123.60073arXivmath/0608218OpenAlexW1666347492MaRDI QIDQ5307896

F. M. Deking, Pierre Liardet

Publication date: 19 September 2007

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.

Full work available at URL: https://arxiv.org/abs/math/0608218

zbMATH Keywords

random walkrandom sceneryskew product transformationcolour record

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measure-preserving transformations (28D05) Processes in random environments (60K37)

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