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Seminar

Hamiltonian Seminar: Analytic invariant curves for analytic twist map October 19, 2018 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Abed Bounemoura (Université de Paris IX (Paris-Dauphine))
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Yoccoz proved that Bruno's arithmetic condition is optimal for the analytic linearization of a circle diffeomorphism close to a rotation. We will explain how to use this result to prove that the same condition is optimal for the analytic preservation of quasi-periodic invariant curves of twists maps, as well as new questions in this context. We will also discuss partial results in higher dimension.

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