Non-abelian free group actions: Markov processes, the Abramov–Rohlin formula and Yuzvinskii’s formula

DOI10.1017/S0143385709000844zbMath1221.37009arXiv0806.4420MaRDI QIDQ3068593

Lewis Phylip Bowen

Publication date: 17 January 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.4420

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40)

Related Items (13)

Finite entropy actions of free groups, rigidity of stabilizers, and a Howe-Moore type phenomenon ⋮ The relative f-invariant and non-uniform random sofic approximations ⋮ Endomorphisms of abelian groups with small algebraic entropy ⋮ ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES ⋮ Perfect matchings as IID factors on non-amenable groups ⋮ A Juzvinskii addition theorem for finitely generated free group actions ⋮ A subgroup formula for f-invariant entropy ⋮ Entropy theory for sofic groupoids. I: The foundations ⋮ Nonabelian free group actions: Markov processes, the Abramov–Rohlin formula and Yuzvinskii’s formula – CORRIGENDUM ⋮ The ergodic theory of free group actions: entropy and the \(f\)-invariant ⋮ Examples in the entropy theory of countable group actions ⋮ All properly ergodic Markov chains over a free group are orbit equivalent ⋮ Uniform Sampling of Subshifts of Finite Type on Grids and Trees

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