The local Hölder exponent for the dimension of invariant subsets of the circle

DOI10.1017/etds.2015.135zbMath1386.37040arXiv1410.5761OpenAlexW2963394139MaRDI QIDQ4600261

Carlo Carminati, Giulio Tiozzo

Publication date: 8 January 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5761

zbMATH Keywords

bifurcationtopological entropyHölder exponentexpanding map of the circle

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40)

Related Items (7)

Entropy continuity for interval maps with holes ⋮ The bifurcation locus for numbers of bounded type ⋮ Two bifurcation sets arising from the beta transformation with a hole at 0 ⋮ Critical values for the -transformation with a hole at ⋮ Diabolical entropy ⋮ The -transformation with a hole at 0 ⋮ The local Hölder exponent for the entropy of real unimodal maps

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• Entropy continuity for interval maps with holes
• Dimension, entropy and Lyapunov exponents
• On Hausdorff dimension of invariant sets for expanding maps of a circle
• Open circle maps: small hole asymptotics

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