Transient random walks on a strip in a random environment

DOI10.1214/08-AOP393zbMath1167.60023arXivmath/0603392MaRDI QIDQ2519686

Alexander Roitershtein

Publication date: 27 January 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603392

zbMATH Keywords

strong law of large numberscentral limit theoremhitting timesrandom environmentrenewal structureenvironment viewed from the particlerandom walks on a strip

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10) Processes in random environments (60K37)

Related Items (10)

One-dimensional finite range random walk in random medium and invariant measure equation ⋮ Central limit theorem for recurrent random walks on a strip with bounded potential ⋮ Law of large numbers for random walk with unbounded jumps and birth and death process with bounded jumps in random environment ⋮ Quenched large deviations for random walk in a random environment ⋮ Local limit theorems for random walks in a 1D random environment ⋮ Large deviations for hitting times of a random walk in random environment on a strip ⋮ BRANCHING STRUCTURE FOR THE TRANSIENT (1, R)-RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS ⋮ Invariant measure for random walks on ergodic environments on a strip ⋮ Constructive approach to limit theorems for recurrent diffusive random walks on a strip ⋮ INTRINSIC BRANCHING STRUCTURE WITHIN (L-1) RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS

Cites Work

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• Recurrence and transience criteria for random walk in a random environment
• Persistent random walks in a one-dimensional random environment
• Mixing: Properties and examples
• Tubular recurrence
• Random walks in random medium on \(\mathbb Z\) and Lyapunov spectrum
• A law of large numbers for random walks in random environment
• Persistent random walks in stationary environment
• On some random walks on \(\mathbb{Z}\) in random medium
• A note on multitype branching processes with immigration in a random environment
• Simple transient random walks in one-dimensional random environment: the central limit theorem
• Recurrence of Co-Cycles and Random Walks
• Sur la récurrence des marches aléatoires unidimensionnelles en environnement aléatoire
• A CRITERION FOR LINEAR DRIFT, AND THE CENTRAL LIMIT THEOREM FOR ONE-DIMENSIONAL RANDOM WALKS IN A RANDOM ENVIRONMENT
• The method of averaging and walks in inhomogeneous environments
• Asymptotic behaviour for random walks in random environments
• Products of Random Matrices
• Recurrence and transience of random walks in random environments on a strip

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