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23 April 2024
 
  » arxiv » math.PR/9905151

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Stationary Measures for Random Walks in a Random Environment with Random Scenery
Russell Lyons ; Oded Schramm ;
Date 24 May 1999
Journal New York J. Math. 5 (1999), 107--113 (electronic).
Subject Probability MSC-class: 60B99, 60J15 (Primary) 28D15 (Secondary) | math.PR
AbstractLet $Gamma$ act on a countable set V with only finitely many orbits. Given a $Gamma$-invariant random environment for a Markov chain on V and a random scenery, we exhibit, under certain conditions, an equivalent stationary measure for the environment and scenery from the viewpoint of the random walker. Such theorems have been very useful in investigations of percolation on quasi-transitive graphs.
Source arXiv, math.PR/9905151
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