A weakness in strong localization for Sinai's walk

DOI10.1214/009117906000000863zbMath1117.60091arXivmath/0606376OpenAlexW3106291326MaRDI QIDQ2370098

Zhan Shi, Olivier Zindy

Publication date: 22 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0606376

zbMATH Keywords

local timeoccupation timerandom walk in random environmentfavorite site

Mathematics Subject Classification ID

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

Related Items (4)

Almost sure estimates for the concentration neighborhood of Sinai's walk ⋮ Upper limits of Sinai's walk in random scenery ⋮ Collisions of several walkers in recurrent random environments ⋮ Arbitrary many Walkers meet infinitely often in a subballistic random environment

Cites Work

• Splitting at the infimum and excursions in half-lines for random walks and Lévy processes
• Localization of random walks in one-dimensional random environments
• Valleys and the maximum local time for random walk in random environment
• A local time curiosity in random environment
• Almost sure estimates for the concentration neighborhood of Sinai's walk
• The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
• Random walks in a random environment
• Large deviations
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