On the transience of processes defined on Galton-Watson trees

DOI10.1214/009117905000000837zbMath1104.60048arXivmath/0606751OpenAlexW3102769828MaRDI QIDQ2497163

Andrea Collevecchio

Publication date: 3 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0606751

zbMATH Keywords

branching processesreinforced random walkrandom walk on trees

Mathematics Subject Classification ID

Related Items (23)

Phase transition for the once-reinforced random walk on \(\mathbb{Z}^{d}\)-like trees ⋮ Recurrence and transience preservation for vertex reinforced jump processes in one dimension ⋮ General random walk in a random environment defined on Galton-Watson trees ⋮ Continuous-time vertex reinforced jump processes on Galton-Watson trees ⋮ Localization for a nonlinear sigma model in a strip related to vertex reinforced jump processes ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ A Monotonicity Property for Once Reinforced Biased Random Walk on $$\mathbb {Z}^d$$ ⋮ Reversibility of a simple random walk on periodic trees ⋮ Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model ⋮ Random memory walk ⋮ A new class of excited random walks on trees ⋮ On the speed of once-reinforced biased random walk on trees ⋮ Phase diagram for once-reinforced random walks on trees with exponential weighting scheme ⋮ Bounds on the speed and on regeneration times for certain processes on regular trees ⋮ On the transience and recurrence of Lamperti's random walk on Galton-Watson trees ⋮ Limit theorems for reinforced random walks on certain trees ⋮ The branching-ruin number as critical parameter of random processes on trees ⋮ An asymptotic result for Brownian polymers ⋮ Inverting Ray-Knight identity ⋮ On a random walk that grows its own tree ⋮ Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model ⋮ Once reinforced random walk on \(\mathbb{Z}\times\gamma\) ⋮ Vertex-reinforced jump process on the integers with nonlinear reinforcement

Cites Work

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