Geodesic
Smooth linearization of commuting circle diffeomorphisms
Bassam Fayad1 ; Kostantin Khanin2
1Institut Galilée<br/>Université Paris 13<br/>Avenue Jean-Baptiste Clément<br/>93439 Villetaneuse<br/>France
2Department of Mathematics<br/>University of Toronto<br/>Room 6290, 40 St. George Street<br/>Toronto, ON M5S 2E4<br/>Canada
Annals of mathematics, Tome 170 (2009) no. 2, pp. 961-980
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We show that a finite number of commuting diffeomorphisms with simultaneously Diophantine rotation numbers are smoothly conjugated to rotations. This solves a problem raised by Moser.

DOI : 10.4007/annals.2009.170.961

Bassam Fayad  1   ; Kostantin Khanin  2

1 Institut Galilée<br/>Université Paris 13<br/>Avenue Jean-Baptiste Clément<br/>93439 Villetaneuse<br/>France
2 Department of Mathematics<br/>University of Toronto<br/>Room 6290, 40 St. George Street<br/>Toronto, ON M5S 2E4<br/>Canada 
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Bassam Fayad; Kostantin Khanin. Smooth linearization of commuting circle diffeomorphisms. Annals of mathematics, Tome 170 (2009) no. 2, pp. 961-980. doi: 10.4007/annals.2009.170.961

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