Limit law for transition probabilities and moderate deviations for Sinai's random walk in random environment

DOI10.1007/s00440-003-0273-3zbMath1027.60091OpenAlexW1975674978MaRDI QIDQ1408500

Francis Comets, Serguei Popov

Publication date: 23 September 2003

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

Full work available at URL: https://doi.org/10.1007/s00440-003-0273-3

zbMATH Keywords

metastabilityspectral gaprandom environmentSinai's regime\(t\)-stable pointselevationmoments of return

Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (13)

On slowdown and speedup of transient random walks in random environment ⋮ On the concentration of Sinai's walk ⋮ Random walk in random environment with asymptotically zero perturbations ⋮ Annealed tail estimates for a Brownian motion in a drifted Brownian potential ⋮ Localization for a random walk in slowly decreasing random potential ⋮ Spectral analysis of Sinai's walk for small eigenvalues ⋮ Application of moderate deviation techniques to prove Sinai theorem on RWRE ⋮ Logarithmic speeds for one-dimensional perturbed random walks in random environments ⋮ Alternative proof for the localization of Sinai's walk ⋮ Moderate deviations for diffusions with Brownian potentials ⋮ A note on quenched moderate deviations for Sinai's random walk in random environment ⋮ Heat kernel decay on a stationary environment of conductances ⋮ Diffusion in random environment and the renewal theorem

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