The quenched invariance principle for random walks in random environments admitting a bounded cycle representation

DOI10.1214/07-AIHP122zbMath1176.60085arXiv0806.2525MaRDI QIDQ731687

Jean-Dominique Deuschel, Holger Kösters

Publication date: 8 October 2009

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/0806.2525

zbMATH Keywords

invariance principlenon-reversible Markov chainsrandom walks in random environmentscycle representations

Mathematics Subject Classification ID

Processes in random environments (60K37) Functional limit theorems; invariance principles (60F17)

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Cites Work

• Nash inequalities for finite Markov chains
• Quenched invariance principle for simple random walk on percolation clusters
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Upper bounds for symmetric Markov transition functions
• Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion
• Quenched invariance principles for walks on clusters of percolation or among random conduc\-tances
• Functional CLT for random walk among bounded random conductances
• Quenched invariance principles for random walks with random conductances
• Carne-Varopoulos bounds for centered random walks
• Asymptotic behavior of a tagged particle in simple exclusion processes
• The method of averaging and walks in inhomogeneous environments
• Random Walks on Infinite Graphs and Groups
• Fluctuations in Markov Processes
• Quenched invariance principles for random walks on percolation clusters
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