Homomorphisms to \(\mathbb R\) constructed from random walks

DOI10.5802/aif.2577zbMath1274.60015OpenAlexW1513349005MaRDI QIDQ624777

Anders Karlsson, A. G. Erschler

Publication date: 9 February 2011

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116326

zbMATH Keywords

entropyGaussian estimatesdriftLiouville type theoremsrandom walks on groupsgroups of intermediate growthgrowth of harmonic functionshomomorphisms to \(\mathbb R\)

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05)

Related Items

Poisson-Furstenberg boundary and growth of groups ⋮ Homomorphisms to \(\mathbb R\) generated by quasimorphisms ⋮ Disorder, entropy and harmonic functions ⋮ Almost invariance of distributions for random walks on groups ⋮ Entropy and drift in word hyperbolic groups ⋮ The Liouville property and Hilbertian compression ⋮ Random walks on countable groups ⋮ Linear drift and entropy for regular covers ⋮ A functional analysis proof of Gromov's polynomial growth theorem ⋮ Sharp lower bounds for the asymptotic entropy of symmetric random walks ⋮ Pointer chasing via triangular discrimination

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