Ballistic random walks in random environment at low disorder

DOI10.1214/009117904000000739zbMath1063.60149arXivmath/0302076OpenAlexW4294350162MaRDI QIDQ1769505

Christophe Sabot

Publication date: 21 March 2005

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

Full work available at URL: https://arxiv.org/abs/math/0302076

zbMATH Keywords

random mediaGreen functionrandom walkannealed random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37)

Related Items (10)

Einstein relation for random walks in random environment ⋮ Limit theorem for sub-ballistic random walks in Dirichlet environment in dimension \(d \geq 3\) ⋮ A monotonicity property for random walk in a partially random environment ⋮ The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior ⋮ Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\) ⋮ The speed of a biased random walk on a percolation cluster at high density ⋮ Velocity Estimates for Symmetric Random Walks at Low Ballistic Disorder ⋮ New examples of ballistic RWRE in the low disorder regime ⋮ Localization at the boundary for conditioned random walks in random environment in dimensions two and higher ⋮ Asymptotic direction of random walks in Dirichlet environment

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• Random walks in a random environment

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