Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1179.37059
Khanin, K.; Teplinsky, A.
Herman's theory revisited. (English)
[J] Invent. Math. 178, No. 2, 333-344 (2009). ISSN 0020-9910; ISSN 1432-1297/e

Authors' abstract: We prove that a $C^{2+\alpha }$-smooth orientation-preserving circle diffeomorphism with rotation number in Diophantine class $D _{\delta }, 0\leq \delta < \alpha \leq 1, \alpha - \delta \neq 1$, is $C^{1+\alpha - \delta }$-smoothly conjugate to a rigid rotation. This is the first sharp result on the smoothness of the conjugacy. We also derive the most precise version of Denjoy's inequality for such diffeomorphisms.
[Ljubiša Kocić (Niš)]

MSC 2000:: *37E10 Maps of the circle

Keywords: Diophantine class; cross ratio distortion; circle diffeomorphisms; Denjoy's type inequality

Cited in: Zbl 1224.37022

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]