Random walks on Galton-Watson trees with random conductances

DOI10.1016/j.spa.2012.01.004zbMath1255.60178arXiv1101.2769OpenAlexW2144834359MaRDI QIDQ424494

Serguei Popov, Marina Vachkovskaia, Nina Gantert, Sebastian Müller

Publication date: 1 June 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2769

zbMATH Keywords

random environmentrandom walkreversibilityrate of escapeeffective conductance

Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Random walks on graphs (05C81)

Related Items

On the speed of distance stationary sequences, On the speed and spectrum of mean-field random walks among random conductances, Speed of the biased random walk on a Galton-Watson tree, Recent progress on the random conductance model, Lyons‐Pemantle‐Peres Monotonicity Problem for High Biases, The speed of random walk on Galton-Watson trees with vanishing conductances, The speed of the tagged particle in the exclusion process on Galton-Watson trees

Cites Work

• Ergodic theory on stationary random graphs
• A central limit theorem for random walk in a random environment on a marked Galton-Watson tree.
• Weak convergence for the minimal position in a branching random walk: a simple proof
• Random walks and percolation on trees
• Transient random walks in random environment on a Galton-Watson tree
• Anchored expansion, percolation and speed. (With an appendix by Gábor Pete)
• Biased random walks on Galton-Watson trees
• Processes on unimodular random networks
• A central limit theorem for biased random walks on Galton-Watson trees
• Probability on Trees and Networks
• Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure
• Anchored expansion and random walk