Integrability of exit times and ballisticity for random walks in Dirichlet environment

DOI10.1214/EJP.v14-609zbMath1192.60113arXiv0801.2875MaRDI QIDQ1039110

Laurent Tournier

Publication date: 20 November 2009

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2875

zbMATH Keywords

reinforced random walksexit timeDirichlet distributionballisticityquotient graphrandom walks in random environment

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Processes in random environments (60K37)

Related Items (12)

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 ⋮ Limit theorem for sub-ballistic random walks in Dirichlet environment in dimension \(d \geq 3\) ⋮ Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment ⋮ Random Dirichlet environment viewed from the particle in dimension \(d\geq 3\) ⋮ Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\) ⋮ 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 ⋮ A quenched functional central limit theorem for random walks in random environments under \((T)_\gamma\) ⋮ Asymptotic direction of random walks in Dirichlet environment

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