A note on the measure-theoretic pressure in mean metric

DOI10.1007/s40840-023-01473-7OpenAlexW4321494941MaRDI QIDQ2699568

Lei Liu, Junjie Zhang, Cao Zhao

Publication date: 19 April 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-023-01473-7

zbMATH Keywords

topological pressuremeasure-theoretic pressuremean metric

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics in general topological spaces (37B02)

Cites Work

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• Definition of measure-theoretic pressure using spanning sets
• Measure-theoretic pressure for subadditive potentials
• Topological pressure and the variational principle for noncompact sets
• Hausdorff dimension of quasi-circles
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Measure complexity and Möbius disjointness
• Measure complexity and rigid systems
• Irregular sets, the $𝛽$-transformation and the almost specification property
• Repellers for real analytic maps
• Topological Entropy for Noncompact Sets
• Topological Entropy
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Measure-theoretic pressure and topological pressure in mean metrics

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