KAM theory for ultra-differentiable Hamiltonians
Abed Bounemoura (Université de Paris IX (Paris-Dauphine))
MSRI: Simons Auditorium
We propose an extension of the KAM theorem to a class of ultra-differentiable Hamiltonians (including analytic and Gevrey Hamiltonians) under an adapted arithmetic condition (corresponding to the Bruno-Rüssmann condition in the analytic case). This is joint work with Jacques Féjoz.