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math.DS2011★ 2 cited
Reducibility of cocycles under a Brjuno-Rüssmann arithmetical condition
Claire Chavaudret, Stefano Marmi
The arithmetics of the frequency and of the rotation number play a fundamental role in the study of reducibility of analytic quasi-periodic cocycles which are sufficiently close to…
math.DS2011
There is only one KAM curve
Carlo Carminati, Stefano Marmi, David Sauzin
We consider the standard family of area-preserving twist maps of the annulus and the corresponding KAM curves. Addressing a question raised by Kolmogorov, we show that, instead of…