Weak rigidity of entropy spectra

DOI10.1080/14689367.2021.1876841zbMath1472.37006arXiv2009.06256OpenAlexW3128240178MaRDI QIDQ4995189

Katsukuni Nakagawa

Publication date: 23 June 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06256

zbMATH Keywords

Gibbs measuresentropy spectrarigidities of entropy spectra

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Symbolic dynamics (37B10)

Related Items (2)

Rigidity of entropy spectra for one-parameter family of polynomials ⋮ Continuity of isomorphisms applied to rigidity problems of entropy spectra

Cites Work

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• Hyperbolic structure preserving isomorphisms of Markov shifts. II
• Non-negative matrices and Markov chains. 2nd ed
• Multifractal nonrigidity of topological Markov chains
• Multifractal rigidity for piecewise linear Markov maps

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