Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a strip

DOI10.1007/s00440-007-0091-0zbMath1141.60070OpenAlexW1982868681MaRDI QIDQ929374

Ilya Ya. Goldsheid

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1007/s00440-007-0091-0

zbMATH Keywords

RWRECentral limit theoremQuenched random environmentsRandom walks on a strip

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 disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (14)

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 ⋮ Simple transient random walks in one-dimensional random environment: the central limit theorem ⋮ Local limit theorems for random walks in a 1D random environment ⋮ Dynamical random walk on the integers with a drift ⋮ Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards ⋮ Quenched limit theorems for nearest neighbour random walks in 1D random environment ⋮ Large deviations for hitting times of a random walk in random environment on a strip ⋮ Tail estimates for one-dimensional non nearest-neighbor random walk in random environment ⋮ Stable laws and spectral gap properties for affine random walks ⋮ 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 ⋮ Laws of iterated logarithm for transient random walks in random environments

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