Shannon's theorem for locally compact groups

DOI10.1214/21-AOP1529zbMath1487.60008arXiv1812.07292OpenAlexW4213443772MaRDI QIDQ2119207

Giulio Tiozzo, Behrang Forghani

Publication date: 23 March 2022

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07292

zbMATH Keywords

entropyPoisson boundaryrandom walks on groups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) General properties and structure of locally compact groups (22D05) Boundary theory for Markov processes (60J50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Compactifications of horospheric products, Strong Shannon–McMillan–Breiman’s theorem for locally compact groups, Poisson representation and Furstenberg entropy of hypergroups

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