Universal estimates for critical circle mappings

DOI10.1063/1.165826zbMath0899.58051OpenAlexW2047345884WikidataQ73464104 ScholiaQ73464104MaRDI QIDQ4390271

Konstantin M. Khanin

Publication date: 9 November 1998

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165826

zbMATH Keywords

asymptotic behaviorthermodynamic formalismuniversal estimatescritical circle mappingsrenormalized mappings

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items

Piecewise linear models for the quasiperiodic transition to chaos, Rigidity of smooth critical circle maps, A Note on the Conjugacy Between Two Critical Circle Maps, Critical circle maps near bifurcation, 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, A Farey tree organization of locking regions for simple circle maps, Renormalisation of bicritical circle maps, Robust rigidity for circle diffeomorphisms with singularities, Statistics of Poincaré recurrences for a class of smooth circle maps, Fractal properties of critical invariant curves, On an invariant measure for homeomorphisms of a circle with a point of break, Dynamics of multicritical circle maps, Note on Lyapunov exponent for critical circle maps, There are no σ-finite absolutely continuous invariant measures for multicritical circle maps ^*, Singular measures in circle dynamics

Cites Work

• A new proof of M. Herman's theorem
• Rational rotation numbers for maps of the circle
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)