Shannon-McMillan-Breiman theorem along almost geodesics in negatively curved groups

DOI10.1007/s10959-023-01291-4arXiv2311.03874OpenAlexW4388220339MaRDI QIDQ6204806

Publication date: 2 April 2024

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2311.03874

zbMATH Keywords

hyperbolic groups Rokhlin entropy orbital entropy almost geodesics entropy equipartition theorems p.m.p. action of countable groups Skew transformations

Mathematics Subject Classification ID

Strong limit theorems (60F15) Ergodic theory on groups (22D40) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Hyperbolic groups and nonpositively curved groups (20F67)

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