Many visits to a single site by a transient random walk in random environment.

DOI10.1016/S0304-4149(02)00089-3zbMath1059.60100OpenAlexW1997675703MaRDI QIDQ1766077

Zhan Shi, Nina Gantert

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00089-3

zbMATH Keywords

local timerandom walk in random environmentbranching process in random environment

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)

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Cites Work

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• Tail estimates for one-dimensional random walk in random environment
• Characteristic functions of random variables attracted to 1-stable laws
• Quenched, annealed and functional large deviations for one-dimensional random walk in random environment
• A local time curiosity in random environment
• On the maximum of a subcritical branching process in a random environment.
• Random walks in a random environment