On an invariant measure for homeomorphisms of a circle with a point of break
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Publication:1289324
DOI10.1007/BF02463336zbMath0921.58035OpenAlexW2040470280MaRDI QIDQ1289324
Konstantin M. Khanin, Akhtam Dzhalilov
Publication date: 30 September 1999
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02463336
Related Items
A Note on the Conjugacy Between Two Critical Circle Maps ⋮ A remark on Denjoy's inequality for PL circle homeomorphisms with two break points ⋮ The Thermodynamic Formalism and the Central Limit Theorem for Stochastic Perturbations of Circle Maps with a Break ⋮ Invariant measure of a circle map with a mixed type of singularities ⋮ On conjugacies between piecewise-smooth circle maps ⋮ Conjugation between circle maps with several break points ⋮ Renormalizations of circle homeomorphisms with a single break point ⋮ On piecewise class \(PC^r\) homeomorphisms of the circle which are piecewise \(C^ r (r\geq 1)\) conjugate to irrational rotations ⋮ On the invariant measure of a piecewise-smooth circle homeomorphism of Zygmund class ⋮ A circle diffeomorphism with breaks that is absolutely continuously linearizable ⋮ On conjugations of circle homeomorphisms with two break points ⋮ 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. ⋮ On the singularity of the conjugation between piecewise-smooth circle homeomorphisms ⋮ Non-rigidity for circle homeomorphisms with several break points ⋮ An Extention of Herman’s Theorem for Nonlinear Circle Maps with Two Breaks ⋮ The thermodynamic formalism and exponents of singularity of invariant measure of circle maps with a single break
Cites Work
- A new proof of M. Herman's theorem
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- Sur les courbes definies par les équations différentielles à la surface du tore
- Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
- Universal estimates for critical circle mappings
- Smooth conjugacy and renormalisation for diffeomorphisms of the circle
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