Asymptotic direction in random walks in random environment revisited

DOI10.1214/09-BJPS028zbMath1200.60092arXiv0902.1115OpenAlexW2099562883MaRDI QIDQ985985

Alejandro F. Ramírez, Alexander Drewitz

Publication date: 9 August 2010

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1115

zbMATH Keywords

asymptotic directionsrandom walk in random environmentrenewal times

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37)

Related Items (3)

Selected Topics in Random Walks in Random Environment ⋮ Quenched and averaged large deviations for random walks in random environments: the impact of disorder ⋮ Asymptotic direction of random walks in Dirichlet environment

Cites Work

• Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment
• Generalized random walk in a random environment
• Asymptotic direction for random walks in random environments
• Limit velocity and zero-one laws for diffusions in random environment
• Integrability of exit times and ballisticity for random walks in Dirichlet environment
• Slowdown estimates and central limit theorem for random walks in random environment
• A law of large numbers for random walks in random environment
• An effective criterion for ballistic behavior of random walks in random environment
• A non-ballistic law of large numbers for random walks in i. i. d. random environment
• On a class of transient random walks in random environment
• 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
• Sums of Stationary Sequences Cannot Grow Slower Than Linearly

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