Harmonic maps on amenable groups and a diffusive lower bound for random walks

DOI10.1214/12-AOP779zbMath1284.05250arXiv0911.0274OpenAlexW3102493546MaRDI QIDQ378807

James R. Lee, Yuval Peres

Publication date: 12 November 2013

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

Full work available at URL: https://arxiv.org/abs/0911.0274

zbMATH Keywords

harmonic mapsrate of escaperandom walks on graphs

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Probabilistic potential theory (60J45) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05) Random walks on graphs (05C81)

Related Items

Law of large numbers for the drift of the two-dimensional wreath product, Disorder, entropy and harmonic functions, Connective constants and height functions for Cayley graphs, A finitary version of Gromov's polynomial growth theorem., Self-avoiding walks and amenability, The rate of escape for random walks on polycyclic and metabelian groups, Asymptotic behaviors of random walks on countable groups, Behaviors of entropy on finitely generated groups, Mixing time and expansion of non-negatively curved Markov chains, Speed of random walks, isoperimetry and compression of finitely generated groups, The Liouville property and Hilbertian compression, Isoperimetric profiles and random walks on some groups defined by piecewise actions, Topics in Markov chains: mixing and escape rate, Occupation measure of random walks and wired spanning forests in balls of Cayley graphs

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