Slow movement of random walk in random environment on a regular tree

DOI10.1214/009117906000001150zbMath1124.60083arXivmath/0608036OpenAlexW2953365132MaRDI QIDQ2456035

Zhan Shi, Yue Yun Hu

Publication date: 17 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0608036

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)

Related Items (11)

Range and critical generations of a random walk on Galton-Watson trees ⋮ Heavy range of the randomly biased walk on Galton-Watson trees in the slow movement regime ⋮ Speed of vertex-reinforced jump process on Galton-Watson trees ⋮ SLLN and annealed CLT for random walks in I.I.D. random environment on Cayley trees ⋮ Scaling limit of the recurrent biased random walk on a Galton-Watson tree ⋮ Almost sure convergence for stochastically biased random walks on trees ⋮ Some limit properties of the harmonic mean of transition probabilities for Markov chains in Markovian environments indexed by Cayley's trees ⋮ Transient random walks in random environment on a Galton-Watson tree ⋮ The number of generations entirely visited for recurrent random walks in a random environment ⋮ Bounds on the speed and on regeneration times for certain processes on regular trees ⋮ The heavy range of randomly biased walks on trees

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