Induced topological pressure and the zero-dimensional extension for BS dimensions

DOI10.1063/1.4979628zbMath1364.37035OpenAlexW2604451072MaRDI QIDQ2981034

Zhitao Xing, Ercai Chen

Publication date: 8 May 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4979628

zbMATH Keywords

topological pressure

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Statistical thermodynamics (82B30)

Cites Work

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• Zero-dimensional principal extensions
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• Variational principles for topological entropies of subsets
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• Dimensions of stable sets and scrambled sets in positive finite entropy systems
• Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
• Induced topological pressure for topological dynamical systems
• Topological Entropy
• Induced topological pressure for countable state Markov shifts
• Entropy for Group Endomorphisms and Homogeneous Spaces

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