On an invariant measure for homeomorphisms of a circle with a point of break

The differentiability of the conjugation of certain diffeomorphisms of the circle

Yitzhak Katznelson, Donald Ornstein · Ergodic Theory and Dynamical Systems · 1989 · 142 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +7

Smoothness of conjugacies of diffeomorphisms of the circle with rotations

Yakov G. Sinai, Konstantin Khanin · Russian Mathematical Surveys · 1989 · 103 citations

Natural Sciences, Mathematics, Probability Theory +7

A new proof of M. Herman's theorem

Konstantin Khanin, Ya. G. Sinai · Communications in Mathematical Physics · 1987 · 85 citations

Natural Sciences, Mathematics, Number Theory +1

Smooth conjugacy and renormalisation for diffeomorphisms of the circle

J. Stark · Nonlinearity · 1988 · 41 citations

Natural Sciences, Mathematics, Geometry +7

Universal estimates for critical circle mappings

Konstantin Khanin · Chaos An Interdisciplinary Journal of Nonlinear Science · 1991 · 38 citations

Natural Sciences, Mathematics, Physics +15