Characterisations of algebraic properties of groups in terms of harmonic functions

DOI10.4171/GGD/375zbMath1392.20036arXiv1409.6326MaRDI QIDQ329576

Matthew C. H. Tointon

Publication date: 21 October 2016

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

Full work available at URL: https://arxiv.org/abs/1409.6326

zbMATH Keywords

Cayley graphrandom walkdiscrete Laplaciandiscrete harmonic functionlinear cellular automaton

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (8)

Three conjectures of Ostrander on digraph Laplacian eigenvectors ⋮ A short remark on the surjectivity of the combinatorial Laplacian on infinite graphs ⋮ Harmonic functions on compactly generated groups ⋮ Connective constants and height functions for Cayley graphs ⋮ Amenability of Groups and G-Sets ⋮ Harmonic functions of linear growth on solvable groups ⋮ A note on the surjectivity of operators on vector bundles over discrete spaces ⋮ Polynomials and harmonic functions on discrete groups

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