Large deviations for transient random walks in random environment on a Galton-Watson tree

DOI10.1214/09-AIHP204zbMath1191.60119arXiv0811.0438MaRDI QIDQ974774

Elie E. F. Aidekon

Publication date: 7 June 2010

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0438

zbMATH Keywords

law of large numberslarge deviationsGalton-Watson treerandom walk in random environment

Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

Local times of subdiffusive biased walks on trees ⋮ Functional central limit theorem for random walks in random environment defined on regular trees ⋮ Almost sure convergence for stochastically biased random walks on trees ⋮ Large deviation principles induced by the Stiefel manifold, and random multidimensional projections ⋮ Bounds on the speed and on regeneration times for certain processes on regular trees

Cites Work

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• Critical random walk in random environment on trees
• Biased random walks on Galton-Watson trees
• Martingale convergence in the branching random walk

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