Minimal growth harmonic functions on lamplighter groups

zbMath1374.60146arXiv1607.00753MaRDI QIDQ2011620

Ariel Yadin, Hugo Duminil-Copin, Gady Kozma, Itai Benjamini

Publication date: 4 August 2017

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00753

zbMATH Keywords

entropyharmonic functionsrandom walkwreath productlamplighterKaimanovich-Vershik

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Asymptotic properties of groups (20F69) Harmonic functions on Riemann surfaces (30F15) Probabilistic methods in group theory (20P05)

Related Items (5)

Law of large numbers for the drift of the two-dimensional wreath product ⋮ Harmonic analysis invariants for infinite graphs via operators and algorithms ⋮ Shalom's property \(H_{\mathrm{FD}}\) and extensions by \(\mathbb{Z}\) of locally finite groups ⋮ Connective constants and height functions for Cayley graphs ⋮ Harmonic functions of linear growth on solvable groups

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