Randomly biased walks on subcritical trees

DOI10.1002/cpa.21416zbMath1254.60094arXiv1101.4041OpenAlexW2594311681MaRDI QIDQ3165462

Alan Hammond, Gérard Ben Arous

Publication date: 26 October 2012

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4041

zbMATH Keywords

Galton-Watson treerandom walk in random environmenttrap models

Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

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Local times of subdiffusive biased walks on trees ⋮ Randomly biased walks on subcritical trees ⋮ Biased random walk on supercritical percolation: anomalous fluctuations in the ballistic regime ⋮ The tail of the length of an excursion in a trap of random size ⋮ Stable limit laws for randomly biased walks on supercritical trees ⋮ Biased random walk on critical Galton-Watson trees conditioned to survive ⋮ Escape regimes of biased random walks on Galton-Watson trees ⋮ Almost sure convergence for stochastically biased random walks on trees ⋮ Biased random walk in positive random conductances on \(\mathbb{Z}^{d}\) ⋮ Biased random walks on Galton-Watson trees with leaves ⋮ Scaling limits for sub-ballistic biased random walks in random conductances ⋮ Non-Gaussian fluctuations of randomly trapped random walks ⋮ The accumulative law and its probability model: an extension of the Pareto distribution and the log-normal distribution ⋮ Lyons‐Pemantle‐Peres Monotonicity Problem for High Biases ⋮ Phase Transition for the Speed of the Biased Random Walk on the Supercritical Percolation Cluster ⋮ Biased random walks on random graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Stable limit laws for randomly biased walks on supercritical trees
• Biased random walks on Galton-Watson trees with leaves
• Limit laws for transient random walks in random environment on \(\mathbb Z\)
• Transient random walks in random environment on a Galton-Watson tree
• Random trees and applications
• Large deviations techniques and applications.
• Random walk in a random environment and first-passage percolation on trees
• The electrical resistance of a graph captures its commute and cover times
• The speed of biased random walk on percolation clusters
• On the anisotropic walk on the supercritical percolation cluster
• Biased random walks on Galton-Watson trees
• Almost sure convergence for stochastically biased random walks on trees
• A probabilistic representation of constants in Kesten's renewal theorem
• Scaling limit for trap models on \(\mathbb Z^d\)
• Diffusion and Reactions in Fractals and Disordered Systems
• Randomly biased walks on subcritical trees
• Course 8 Dynamics of trap models
• Phase Transition for the Speed of the Biased Random Walk on the Supercritical Percolation Cluster