Recurrence and transience criteria for random walk in a random environment
From MaRDI portal
Publication:797222
DOI10.1214/aop/1176993304zbMath0545.60066OpenAlexW2093337698MaRDI QIDQ797222
Publication date: 1984
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176993304
Lyapunov exponentsmultiplicative ergodic theoremrandom walk in a random environmentdifference equations with random coefficientsrecurrence and transience criteria
Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Related Items
On some random walks on \(\mathbb{Z}\) in random medium ⋮ Computable examples of the maximal Lyapunov exponent ⋮ Behavior of random walks on \(\mathbb Z\) in Gibbsian medium ⋮ An extension of Kesten's renewal theorem for random walk in a random environment ⋮ 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 ⋮ Deterministically driven random walks in a random environment on \(\mathbb{Z}\) ⋮ Law of large numbers for random walk with unbounded jumps and birth and death process with bounded jumps in random environment ⋮ Anomalous transport in disordered dynamical systems ⋮ Random walk in random environment with asymptotically zero perturbations ⋮ Multivariate linear recursions with Markov-dependent coefficients ⋮ Cutpoints of (1,2) and (2,1) random walks on the lattice of positive half line ⋮ On product of companion matrices ⋮ RECURRENCE OF SELF-REPELLING AND SELF-ATTRACTING WALKS ON THE PRE-SIERPIŃSKI GASKET AND ℤ ⋮ Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards ⋮ Lower bounds for the maximal Lyapunov exponent ⋮ Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a strip ⋮ Lingering random walks in random environment on a strip ⋮ Sets of matrices all infinite products of which converge ⋮ BRANCHING STRUCTURE FOR THE TRANSIENT (1, R)-RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS ⋮ RANDOM WALK IN QUASI-PERIODIC RANDOM ENVIRONMENT ⋮ Transient random walks on a strip in a random environment ⋮ Random walks in random environments of metric groups ⋮ INTRINSIC BRANCHING STRUCTURE WITHIN (L-1) RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS ⋮ On Parrondo's paradox: how to construct unfair games by composing fair games ⋮ Lyapunov functions for random walks and strings in random environment ⋮ Random walks on discrete point processes
