On the trace of branching random walks

DOI10.4171/GGD/156zbMath1243.60065arXiv1002.2781MaRDI QIDQ426203

Sebastian Müller, Itai Benjamini

Publication date: 11 June 2012

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2781

zbMATH Keywords

tracerecurrencebranching random walkinvariant percolationunimodular random network

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Random walks on graphs (05C81)

Related Items (10)

Transience and recurrence of sets for branching random walk via non-standard stochastic orders ⋮ Recurrence of Markov chain traces ⋮ Limit Set of Branching Random Walks on Hyperbolic Groups ⋮ Limit distributions of branching Markov chains ⋮ Asymptotic entropy of the ranges of random walks on discrete groups ⋮ On the boundary at infinity for branching random walk ⋮ Non-intersection of transient branching random walks ⋮ Interacting growth processes and invariant percolation ⋮ Eternal Family Trees and dynamics on unimodular random graphs ⋮ Scaling limits of tree-valued branching random walks

Cites Work

• Unnamed Item
• Ergodic theory on stationary random graphs
• On multidimensional branching random walks in random environment
• Markov chains indexed by trees
• Recurrence of distributional limits of finite planar graphs
• Recurrence of random walk traces
• Processes on unimodular random networks

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