A symmetry property for a class of random walks in stationary random environments on Z

Jean-Marc Derrien; Frédérique Plantevin

doi:10.1239/jap/1339878790

Abstract

A correspondence formula between the laws of dual Markov chains on Z with two transition jumps is established. This formula contributes to the study of random walks in stationary random environments. Counterexamples with more than two jumps are exhibited.

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Jean-Marc Derrien. Frédérique Plantevin. "A symmetry property for a class of random walks in stationary random environments on Z." J. Appl. Probab. 49 (2) 338 - 350, June 2012. https://doi.org/10.1239/jap/1339878790

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Published: June 2012

First available in Project Euclid: 16 June 2012

zbMATH: 1255.60120

MathSciNet: MR2977799

Digital Object Identifier: 10.1239/jap/1339878790

Subjects:

Primary: 60J10 , 60K37

Keywords: conductance and resistance , Duality , Markov chain , Random walk , stationary random environment

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