Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment

DOI10.1214/09-AIHP344zbMath1209.60055arXiv0905.3917OpenAlexW2016287918MaRDI QIDQ629793

Laurent Tournier, Christophe Sabot

Publication date: 10 March 2011

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3917

zbMATH Keywords

random environmentrandom walktime reversalDirichlet distributiondirectional transience

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

Related Items (13)

Sharp ellipticity conditions for ballistic behavior of random walks in random environment ⋮ Selected Topics in Random Walks in Random Environment ⋮ Random walks in random hypergeometric environment ⋮ Quenched exit estimates and ballisticity conditions for higher-dimensional random walk in random environment ⋮ Random Dirichlet environment viewed from the particle in dimension \(d\geq 3\) ⋮ Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\) ⋮ A quenched invariance principle for non-elliptic random walk in i.i.d. balanced random environment ⋮ Ellipticity criteria for ballistic behavior of random walks in random environment ⋮ Random walks in Dirichlet environment: an overview. Dedicated to Dominique Bakry on the occasion of his 60th birthday ⋮ Asymptotic direction in random walks in random environment revisited ⋮ Local trapping for elliptic random walks in random environments in \(\mathbb {Z}^d\) ⋮ Computable criteria for ballisticity of random walks in elliptic random environment ⋮ Asymptotic direction of random walks in Dirichlet environment

Cites Work

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• Generalized random walk in a random environment
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• Multiscale analysis of exit distributions for random walks in random environments
• Integrability of exit times and ballisticity for random walks in Dirichlet environment
• Phase transition in reinforced random walk and RWRE on trees
• Edge oriented reinforced random walks and RWRE
• A zero-one law for planar random walks in random environment
• The zero-one law for planar random walks in i.i.d. random environments revisited

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