Dimension spectrum of asymptotically additive potentials forC1average conformal repellers

DOI10.1088/0951-7715/26/9/2441zbMath1306.37032OpenAlexW2002779109MaRDI QIDQ2852517

Yong-Luo Cao

Publication date: 9 October 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/26/9/2441

zbMATH Keywords

dimension spectrumconformal repeller

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

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The Hausdorff dimension estimation for an ergodic hyperbolic measure of $C^1$-diffeomorphism ⋮ The thermodynamic approach to multifractal analysis ⋮ Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles ⋮ Multifractal analysis of asymptotically additive sequences ⋮ Dimension estimates in non-conformal setting ⋮ Measure theoretic pressure and dimension formula for non-ergodic measures ⋮ Additive, almost additive and asymptotically additive potential sequences are equivalent ⋮ THE STABILITY OF HAUSDORFF DIMENSION FOR THE LEVEL SETS UNDER THE PERTURBATION OF CONFORMAL REPELLERS ⋮ Exceptional sets for average conformal dynamical systems

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