Herman's Theory Revisited

Details Herman's Theory Revisited Herman's Theory Revisited

2007-06-30

arxiv.org/abs/0707.0075v1

Invent. Math. 2009, Vol.178, no.2, pp.333-344

Mathematics

Dynamical Systems

10 pages

Scientific paper

10.1007/s00222-009-0200-z

We prove that a $C^{2+\alpha}$-smooth orientation-preserving circle
diffeomorphism with rotation number in Diophantine class $D_\delta$,
$0<\delta<\alpha\le1$, is $C^{1+\alpha-\delta}$-smoothly conjugate to a rigid
rotation. We also derive the most precise version of Denjoy's inequality for
such diffeomorphisms.

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