Asymptotic properties of certain anisotropic walks in random media

DOI10.1214/aoap/1026915612zbMath1016.60092OpenAlexW1968678091MaRDI QIDQ1872396

Lian Shen

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aoap/1026915612

zbMATH Keywords

random mediaasymptotic random walksballistic walks

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37)

Related Items (9)

A law of large numbers for random walks in random mixing environments. ⋮ Einstein relation for random walks in random environments ⋮ Biased random walk in positive random conductances on \(\mathbb{Z}^{d}\) ⋮ Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards ⋮ Random Walk Delayed on Percolation Clusters ⋮ Scaling limits for sub-ballistic biased random walks in random conductances ⋮ The speed of biased random walk among random conductances ⋮ Biased random walks on random graphs ⋮ Gaussian fluctuations for random walks in random mixing environments

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• A law of large numbers for random walks in random environment
• General Irreducible Markov Chains and Non-Negative Operators
• The method of averaging and walks in inhomogeneous environments

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