Strong Shannon–McMillan–Breiman’s theorem for locally compact groups

DOI10.4153/s0008439523000358zbMath1526.60005OpenAlexW4372324977WikidataQ121730044 ScholiaQ121730044MaRDI QIDQ6060874

Unnamed Author, Behrang Forghani

Publication date: 6 November 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439523000358

zbMATH Keywords

entropyrandom walkslocally compact groupsShannon-McMillan-Breiman theorem

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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• Shannon's theorem for locally compact groups
• Boundary behavior for groups of subexponential growth.
• ON THE STRUCTURE OF GROUPS WITH POLYNOMIAL GROWTH II
• The Individual Ergodic Theorem of Information Theory
• Probability with Martingales
• The Basic Theorems of Information Theory
• The Poisson formula for groups with hyperbolic properties

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