Multifractal analysis of ergodic averages: a generalization of Eggleston's theorem

DOI10.1023/A:1013158601371zbMath1073.37008MaRDI QIDQ1868377

Arkady Tempelman

Publication date: 27 April 2003

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

entropypressureHausdorff dimensionergodic theoremsGibbs measuresMultifractal analysis

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

Multifractal analysis for Markov interval maps with countably many branches ⋮ A Breiman type theorem for Gibbs measures ⋮ Multifractal analysis for expanding interval maps with infinitely many branches ⋮ Hausdorff dimension of frequency sets in beta-expansions

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