Branching structure for the transient random walk on a strip in a random environment

2012/04/05 by Wenming Hong, Hong, Wenming, Meijuan Zhang +1
Mathematics · #FOS: Mathematics #Primary 60J80 #Probability (math.PR) #math.PR #msc:60G50 #msc:60J80 #secondary 60G50

paper · pdf · doi:10.48550/arxiv.1204.1104

16 pages

arxiv created 2012/04/05 · arxiv updated 2012/04/06

Abstract

An intrinsic branching structure within the transient random walk on a strip in a random environment is revealed. As applications, which enables us to express the hitting time explicitly, and specifies the density of the absolutely continuous invariant measure for the "environments viewed from the particle".

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