Biased random walk on critical Galton-Watson trees conditioned to survive

DOI10.1007/s00440-012-0462-zzbMath1283.60125arXiv1203.4078OpenAlexW2113870685MaRDI QIDQ377513

Alexander Fribergh, Takashi Kumagai, David A. Croydon

Publication date: 6 November 2013

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

Full work available at URL: https://arxiv.org/abs/1203.4078

zbMATH Keywords

survivalrandom walksGalton-Watson tree

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (9)

Quenched localisation in the Bouchaud trap model with slowly varying traps ⋮ Biased random walk on supercritical percolation: anomalous fluctuations in the ballistic regime ⋮ Biased random walk on the trace of biased random walk on the trace of \(\dots\) ⋮ Escape regimes of biased random walks on Galton-Watson trees ⋮ Central limit theorems for biased randomly trapped random walks on \(\mathbb{Z}\) ⋮ Non-Gaussian fluctuations of randomly trapped random walks ⋮ Functional limit theorems for the Bouchaud trap model with slowly varying traps ⋮ The speed of random walk on Galton-Watson trees with vanishing conductances ⋮ Biased random walks on random graphs

Cites Work

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• Stable limit laws for randomly biased walks on supercritical trees
• Slow movement of a random walk on the range of a random walk in the presence of an external field
• Biased random walks on Galton-Watson trees with leaves
• Limit laws for transient random walks in random environment on \(\mathbb Z\)
• The Alexander-Orbach conjecture holds in high dimensions
• Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive
• A limit theorem for sums of i.i.d. random variables with slowly varying tail probability
• Subdiffusive behavior of random walk on a random cluster
• The genealogy of self-similar fragmentations with negative index as a continuum random tree
• Probabilistic and fractal aspects of Lévy trees
• Biased random walks on Galton-Watson trees
• Random real trees
• Scaling limit for trap models on \(\mathbb Z^d\)
• Random walk on the incipient infinite cluster on trees
• Stochastic-Process Limits
• Universality and extremal aging for dynamics of spin glasses on subexponential time scales
• Randomly biased walks on subcritical trees
• Course 8 Dynamics of trap models
• Scaling limit and aging for directed trap models
• Aging and quenched localization for one-dimensional random walks in random environment in the sub-ballistic regime
• The arcsine law as a universal aging scheme for trap models
• A branching process with mean one and possibly infinite variance
• The total progeny in a branching process and a related random walk
• Weak convergence of first passage time processes
• Phase Transition for the Speed of the Biased Random Walk on the Supercritical Percolation Cluster
• The Influence of the Maximum Term in the Addition of Independent Random Variables
• Regularly varying functions

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