Dimensional characteristics of invariant measures for circle diffeomorphisms

DOI10.1017/S0143385708000916zbMath1186.37032arXiv0809.0343OpenAlexW2963294506MaRDI QIDQ3650307

Victoria Sadovskaya

Publication date: 14 December 2009

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

Full work available at URL: https://arxiv.org/abs/0809.0343

zbMATH Keywords

boxinvariant measuresrationalcircle diffeomorphismHausdorff dimensionspointwiseDiophantine and Liouville rotation numbers

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (4)

On Dirac physical measures for transitive flows ⋮ Hausdorff dimension of invariant measures of multicritical circle maps ⋮ Anatole Katok ⋮ Hausdorff dimension of invariant measure of circle diffeomorphisms with a break point

Cites Work

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• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Dimension and product structure of hyperbolic measures
• Dimension, entropy and Lyapunov exponents
• Dimension of invariant measures for maps with exponent zero
• Ergodic theory of chaos and strange attractors
• Non-standard smooth realizations of Liouville rotations

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