𝐶ⁿ interval maps not Borel conjugate to any 𝐶^{∞} map

DOI10.1090/S0002-9939-03-07222-8zbMath1033.37021OpenAlexW2131856365MaRDI QIDQ4452199

Sylvie Ruette

Publication date: 12 February 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07222-8

zbMATH Keywords

invariant measurestopological dynamicsmaximal entropytopological conjugacies

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Unnamed Item
• A continuous one-dimensional mapping without a measure with maximal entropy
• Continuity properties of entropy
• Ergodic theory on compact spaces
• Intrinsic ergodicity of smooth interval maps
• Mixing \(C^r\) maps of the interval without maximal measure.

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