On Groups, Slow Heat Kernel Decay Yields Liouville Property and Sharp Entropy Bounds

DOI10.1093/IMRN/RNY034OpenAlexW2964309947WikidataQ130192844 ScholiaQ130192844MaRDI QIDQ5217268

Yuval Peres, Tianyi Zheng

Publication date: 24 February 2020

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05174

Mathematics Subject Classification ID

Asymptotic properties of groups (20F69) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (5)

Law of large numbers for the drift of the two-dimensional wreath product ⋮ Long range random walks and associated geometries on groups of polynomial growth ⋮ On the boundary at infinity for branching random walk ⋮ Amenability of Groups and G-Sets ⋮ Collisions of random walks in dynamic random environments

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