Singular measures in circle dynamics
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Publication:1311674
DOI10.1007/BF02099758zbMath0792.58025arXivmath/9206205OpenAlexW2069059197MaRDI QIDQ1311674
Jacek Graczyk, Grzegorz Świątek
Publication date: 21 January 1994
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9206205
Related Items
Asymptotic distribution of hitting times for critical maps of the circle ⋮ Rigidity of smooth critical circle maps ⋮ A Note on the Conjugacy Between Two Critical Circle Maps ⋮ Circle homeomorphisms with breaks with no \(C^{2-\nu}\) conjugacy ⋮ Hausdorff dimension of invariant measures of multicritical circle maps ⋮ Automorphic measures and invariant distributions for circle dynamics ⋮ Invariant measure of a circle map with a mixed type of singularities ⋮ On critical circle homeomorphisms with infinite number of break points ⋮ Distribution of the displacement sequence of an orientation preserving circle homeomorphism ⋮ The Hölder property of singular invariant measures of circle homeomorphisms with single corners ⋮ Conjugations between circle maps with a single break point ⋮ Rotation number, invariant measures and ratio set of PL homeomorphisms of the circle. ⋮ Fractal properties of critical invariant curves ⋮ Dynamics of multicritical circle maps ⋮ There are no σ-finite absolutely continuous invariant measures for multicritical circle maps *
Cites Work
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- Universal scaling in circle maps
- Quantitative universality for a class of nonlinear transformations
- On the Hausdorff dimension of some fractal sets
- Fractal measures and their singularities: The characterization of strange sets
- Fractal bifurcation sets, renormalization strange sets and their universal invariants
- Universal estimates for critical circle mappings
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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