Finite-dimensional representations constructed from random walks

DOI10.4171/CMH/444zbMath1428.60012arXiv1609.08585MaRDI QIDQ1989596

Narutaka Ozawa, A. G. Erschler

Publication date: 26 October 2018

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08585

zbMATH Keywords

random walkscentral limit theoremtransition probabilitiesamenable groupsorthogonal representationsKazhdan's property \(T\)harmonic cocycleShalom's property

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Unitary representations of locally compact groups (22D10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (8)

Ergodic theory of affine isometric actions on Hilbert spaces ⋮ Law of large numbers for the drift of the two-dimensional wreath product ⋮ Shalom's property \(H_{\mathrm{FD}}\) and extensions by \(\mathbb{Z}\) of locally finite groups ⋮ Harmonic functions on compactly generated groups ⋮ Asymptotic behaviors of random walks on countable groups ⋮ Isoperimetric inequalities, shapes of Følner sets and groups with Shalom's property \(H_{\mathrm{FD}}\) ⋮ On the vanishing of reduced 1-cohomology for Banach representations ⋮ Superrigidity of actions on finite rank median spaces

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