Higher dimensional multifractal analysis of non-uniformly hyperbolic systems

DOI10.1016/j.jmaa.2014.07.024zbMath1347.37057arXiv1311.5083OpenAlexW2963989148MaRDI QIDQ401392

Xiao Yao, Guan-Zhong Ma

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5083

zbMATH Keywords

multifractal analysismeasure concatenation

Mathematics Subject Classification ID

Fractals (28A80) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)

Related Items (2)

Multifractal analysis of dimension spectrum in non-uniformly hyperbolic systems ⋮ Multifractal analysis of the historic set in non-uniformly hyperbolic systems

Cites Work

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• Multifractal analysis of non-uniformly hyperbolic systems
• Ergodic limits on the conformal repellers
• Localized asymptotic behavior for almost additive potentials
• RECURRENCE, DIMENSION AND ENTROPY
• Geometry of limit sets for expansive Markov systems
• The Lyapunov spectrum of some parabolic systems

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