Group-extended Markov systems, amenability, and the Perron-Frobenius operator

DOI10.1090/S0002-9939-2014-12237-4zbMath1346.37036arXiv1205.5126OpenAlexW2048689735MaRDI QIDQ5496253

Johannes Jaerisch

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5126

zbMATH Keywords

Perron-Frobenius operatorthermodynamic formalismamenabilitygroup extensionGurevič pressure

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (7)

Amenability, critical exponents of subgroups and growth of closed geodesics ⋮ Fractal models for normal subgroups of Schottky groups ⋮ Critical exponents of normal subgroups, the spectrum of group extended transfer operators, and Kazhdan distance ⋮ Anosov flows, growth rates on covers and group extensions of subshifts ⋮ Growth gap in hyperbolic groups and amenability ⋮ Dimensions of limit sets of Kleinian groups ⋮ The conformal measures of a normal subgroup of a cocompact Fuchsian group

Cites Work

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• Existence of Gibbs measures for countable Markov shifts
• Thermodynamic formalism for countable Markov shifts
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Thermodynamic formalism for null recurrent potentials

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