A subdiffusive behaviour of recurrent random walk in random environment on a regular tree

DOI10.1007/s00440-006-0036-zzbMath1113.60096arXivmath/0603363OpenAlexW2949504831MaRDI QIDQ880942

Zhan Shi, Yue Yun Hu

Publication date: 21 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0603363

zbMATH Keywords

Random walkTreeRandom environmentMandelbrot's multiplicative cascade

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37)

Related Items (18)

Scaling limit of the subdiffusive random walk on a Galton-Watson tree in random environment ⋮ Local times of subdiffusive biased walks on trees ⋮ Range and critical generations of a random walk on Galton-Watson trees ⋮ Speed of vertex-reinforced jump process on Galton-Watson trees ⋮ On large-deviation probabilities for the empirical distribution of branching random walks with heavy tails ⋮ Scaling limit of the recurrent biased random walk on a Galton-Watson tree ⋮ Almost sure convergence for stochastically biased random walks on trees ⋮ Large deviation probabilities for the range of a \(d\)-dimensional supercritical branching random walk ⋮ Lower deviation probabilities for level sets of the branching random walk ⋮ Moderate deviation probabilities for empirical distribution of the branching random walk ⋮ Unnamed Item ⋮ Biased random walks on Galton-Watson trees with leaves ⋮ Transient random walks in random environment on a Galton-Watson tree ⋮ Favorite sites of randomly biased walks on a supercritical 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 ⋮ Lower deviation and moderate deviation probabilities for maximum of a branching random walk ⋮ The heavy range of randomly biased walks on trees

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