Countable Markov partitions suitable for thermodynamic formalism

DOI10.3934/jmd.2018018zbMath1407.37044arXiv1803.02054OpenAlexW2962803779MaRDI QIDQ1717647

Lucia D. Simonelli, Michael Jakobson

Publication date: 8 February 2019

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02054

zbMATH Keywords

thermodynamic formalismSRB measureMarkov partitionshyperbolic attractorsGurevich pressure

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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