BIRKHOFF SPECTRA FOR ONE-DIMENSIONAL MAPS WITH SOME HYPERBOLICITY

DOI10.1142/S021949371000284XzbMath1183.37037arXiv0803.1522OpenAlexW2962788011MaRDI QIDQ5187839

Yong Moo Chung

Publication date: 9 March 2010

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1522

zbMATH Keywords

multifractal spectralocal dimensionBirkhoff averagehyperbolic measure

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Dimension theory of smooth dynamical systems (37C45)

Related Items (8)

Birkhoff spectrum for Hénon-like maps at the first bifurcation ⋮ Multifractal formalism for Benedicks–Carleson quadratic maps ⋮ The thermodynamic approach to multifractal analysis ⋮ Multifractal analysis of weighted ergodic averages ⋮ Birkhoff spectrum for piecewise monotone interval maps ⋮ Lyapunov spectrum for Hénon-like maps at the first bifurcation ⋮ Multifractal analysis in non-uniformly hyperbolic interval maps ⋮ Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems

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