On \(C^2\)-diffeomorphisms of the circle which are of type III\(_1\).

DOI10.1007/BF01389227zbMath0506.58019OpenAlexW2022597162MaRDI QIDQ1836918

Klaus Schmidt, Jane M. Hawkins

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142896

zbMATH Keywords

Lebesgue measureLiouville numbersirrational rotation numberHerman's theorem

Mathematics Subject Classification ID

Ergodic theory (37A99) Differential topological aspects of diffeomorphisms (57R50) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items

Notes on a theorem of Katznelson and Ornstein, A new proof of M. Herman's theorem, On piecewise smoothness of conjugacy of classPcircle homeomorphisms to diffeomorphisms and rotations, Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne, Conjugation between circle maps with several break points, Diffeomorphisms of manifolds with nonsingular Poincaré flows, Conjugations between circle maps with a single break point, Smooth linearization of commuting circle diffeomorphisms, An Extention of Herman’s Theorem for Nonlinear Circle Maps with Two Breaks

Cites Work

• Sigma-finite invariant measures for smooth mappings of the circle
• Unnamed Item