Valleys and the maximum local time for random walk in random environment

DOI10.1007/s00440-006-0005-6zbMath1106.60082arXivmath/0508579OpenAlexW2594093088MaRDI QIDQ863485

Nina Gantert, Amir Dembo, Yuval Peres, Zhan Shi

Publication date: 26 January 2007

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

Full work available at URL: https://arxiv.org/abs/math/0508579

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Large deviations (60F10) Processes in random environments (60K37) Local time and additive functionals (60J55)

Related Items (11)

A weakness in strong localization for Sinai's walk ⋮ Almost sure estimates for the concentration neighborhood of Sinai's walk ⋮ Almost sure behavior for the local time of a diffusion in a spectrally negative Lévy environment ⋮ Invariant distributions and scaling limits for some diffusions in time-varying random environments ⋮ Upper limits of Sinai's walk in random scenery ⋮ Localization of favorite points for diffusion in a random environment ⋮ Collisions of several walkers in recurrent random environments ⋮ Arbitrary many Walkers meet infinitely often in a subballistic random environment ⋮ The infinite valley for a recurrent random walk in random environment ⋮ Almost sure asymptotics for the local time of a diffusion in Brownian environment ⋮ The Maximum of the Local Time of a Diffusion Process in a Drifted Brownian Potential

Cites Work

• Localization of random walks in one-dimensional random environments
• Many visits to a single site by a transient random walk in random environment.
• A local time curiosity in random environment
• The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
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