Transience and thermodynamic formalism for infinitely branched interval maps

DOI10.1112/jlms/jdr081zbMath1258.37042arXiv1104.5452OpenAlexW3105479803WikidataQ59184806 ScholiaQ59184806MaRDI QIDQ2909047

Henk Bruin, Mike Todd

Publication date: 29 August 2012

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

Full work available at URL: https://arxiv.org/abs/1104.5452

zbMATH Keywords

thermodynamic formalismHausdorff dimensiontopological pressureacip

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (7)

Multifractal analysis for Markov interval maps with countably many branches ⋮ Recurrence and transience for suspension flows ⋮ Wild attractors and thermodynamic formalism ⋮ Transience and multifractal analysis ⋮ Fair measures for countable-to-one maps ⋮ The pressure function for infinite equilibrium measures ⋮ Thermodynamic formalism for transient dynamics on the real line

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