Herman's Theory Revisited (Extension)

Details Herman's Theory Revisited (Extension) Herman's Theory Revisited (Extension)

2007-06-30

arxiv.org/abs/0707.0078v3

Ukr. Math. J., 2008, Vol.60, no.2 (in Ukrainian)

Mathematics

Dynamical Systems

12 pages, this paper is a logical continuation of its first reference; aknowledgement added

Scientific paper

We prove that a $C^{3+\beta}$-smooth orientation-preserving circle
diffeomorphism with rotation number in Diophantine class $D_\delta$,
$0<\beta<\delta<1$, is $C^{2+\beta-\delta}$-smoothly conjugate to a rigid
rotation.

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