Analytic linearization of circle diffeomorphisms

By J. Yoccoz. 2002

100 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1aa59ad5f3488197861e1a1d623e6c4b334f17a6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Bassam Fayad
2. Henk W. Broer
3. A. Katok

In Geometry and Topology

1. A. Katok
2. Bassam Fayad
3. Henk W. Broer
4. J. Thouvenot
5. M. Saprykina
6. Elon Lindenstrauss
7. Manfred Einsiedler

In Mathematical Physics

1. A. Katok
2. Bassam Fayad
3. Henk W. Broer
4. J. Thouvenot
5. M. Saprykina
6. Elon Lindenstrauss
7. Manfred Einsiedler

Citations in the corpus

• Constructions in elliptic dynamics (2004, background): “Yoccoz [35, 36, 37, 43 ], developing ideas which originally appeared”
• KAM theory: The legacy of Kolmogorov’s 1954 paper (2004, background): “Moreover, the frequencies ω1, ω2, . . . , ωn are required to be independent over the rationals, which implies that the torus is densely filled by each of its trajectories.”