Mixing \(C^r\) maps of the interval without maximal measure.

DOI10.1007/BF02784534zbMath1187.37057arXiv1901.00325MaRDI QIDQ1611543

Sylvie Ruette

Publication date: 22 February 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00325

zbMATH Keywords

local entropytopologically mixingtransformations of the intervalinvariant measure of maximal entropy

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Related Items (11)

A convex analysis approach to entropy functions, variational principles and equilibrium states ⋮ surface diffeomorphisms with no maximal entropy measure ⋮ Asymptotich-expansiveness rate ofC^∞maps ⋮ Symbolic dynamics for one dimensional maps with nonuniform expansion ⋮ Jumps of entropy for C^rinterval maps ⋮ 3-adic system and chaos ⋮ Existence of measures of maximal entropy for 𝒞^{𝓇} interval maps ⋮ Symbolic extensions and continuity properties of the entropy ⋮ Puzzles of quasi-finite type, zeta functions and symbolic dynamics for multi-dimensional maps ⋮ 𝐶ⁿ interval maps not Borel conjugate to any 𝐶^{∞} map ⋮ Maximal entropy measures for piecewise affine surface homeomorphisms

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