Global graph of metric entropy on expanding Blaschke products

DOI10.3934/dcds.2020325zbMath1461.37004OpenAlexW3083135434MaRDI QIDQ1995551

Yunping Jiang

Publication date: 24 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020325

zbMATH Keywords

harmonic measureGibbs measuremetric entropycardioid of Mandelbrot setexpanding Blaschke productglobal graphparabolic Blaschke product

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the circle (37E10) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Ergodic theorems, spectral theory, Markov operators (37A30)

Cites Work

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• First return map and invariant measures
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• Geometric Gibbs theory
• Infimum of the metric entropy of volume preserving Anosov systems
• Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, II
• Expanding endomorphisms of the circle revisited
• THERMODYNAMIC FORMALISM METHODS IN ONE-DIMENSIONAL REAL AND COMPLEX DYNAMICS
• Endomorphisms of Compact Differentiable Manifolds

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