Existence of graphs with sub exponential transitions probability decay and applications

DOI10.24033/bsmf.2595zbMath1222.60051arXiv0704.2337OpenAlexW1659242559MaRDI QIDQ3169202

Clément Rau

Publication date: 28 April 2011

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2337

zbMATH Keywords

isoperimetric inequalitypercolationrandom walkwreath productreturn time

Mathematics Subject Classification ID

Applications of graph theory (05C90) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (1)

Lamplighter random walks on fractals

Cites Work

• Entropy and isoperimetry for linear and non-linear group actions.
• On isoperimetric profiles of finitely generated groups.
• Ultracontractivity and Nash type inequalities
• Isoperimetry and heat kernel decay on percolation clusters.
• Isoperimetry for wreath products of Markov chains and multiplicity of selfintersections of random walks
• Generalized wreath products
• Sur le nombre de points visités par une marche aléatoire sur un amas infini de percolation
• Random Walks on Infinite Graphs and Groups

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