Works cited by this work

14 works

Work: Conjugations Between Two Critical Circle Maps With Non-integer Exponents

Smoothness of conjugacies of diffeomorphisms of the circle with rotations
Yakov G. Sinai, Konstantin Khanin
Article198924 citations
ABI
Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations
Michael R. Herman
Article197921 citations
ABI
On an invariant measure for homeomorphisms of a circle with a point of break
Akhtam Dzhalilov, Konstantin Khanin
Article199820 citations
ABI
The absolute continuity of the conjugation of certain diffeomorphisms of the circle
Yitzhak Katznelson, Donald Ornstein
Article198918 citations
ABI
Ergodic Theory
I. P. Cornfeld, S. V. Fomin, Ya. G. Sinaǐ
Book198216 citations
ABI
Sur les courbes définies par les équations différentielles à la surface du tore
Arnaud Denjoy
Article193214 citations
ABI
Singular measures in circle dynamics
Jacek Graczyk, Grzegorz Świa̧tek
Article199310 citations
ABI
Rigidity of critical circle mappings I
Edson de Faria, Welington de Melo
Article199910 citations
ABI
A rapidly convergent iteration method and non-linear partial differential equations - I
Jürgen Moser
Article19668 citations
ABI
Robust rigidity for circle diffeomorphisms with singularities
Konstantin Khanin, A. Teplinsky
Article20077 citations
ABI
Rational rotation numbers for maps of the circle
Grzegorz Świa̧tek
Article19886 citations
ABI
Universal estimates for critical circle mappings
Konstantin Khanin
Article19915 citations
ABI
On rigidity of critical circle maps
Artur Avila
Article20132 citations
ABI
The Rigidity Problem for Analytic Critical Circle Maps
D. Khmelev, Michael Yampolsky
Article20062 citations
ABI