Simple transient random walks in one-dimensional random environment: the central limit theorem

DOI10.1007/s00440-006-0038-xzbMath1134.60065arXivmath/0605775OpenAlexW2071045865MaRDI QIDQ2641899

Ilya Ya. Goldsheid

Publication date: 17 August 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605775

zbMATH Keywords

central limit theoremquenced random environmentsimple random walk RWRE

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

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Cites Work

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• Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a strip
• Limit theorems for one-dimensional transient random walks in Markov environments
• Random Walk in a One-Dimensional Random Medium
• The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
• Asymptotic behaviour for random walks in random environments
• Random walks in a random environment