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math.DS2022
Analytic Smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians
Santiago Barbieri, Jean-Pierre Marco, Jessica Elisa Massetti
In this paper we prove the first result of Nekhoroshev stability for steep Hamiltonians in Hölder class. Our new approach combines the classical theory of normal forms in analytic…
math.DS2022
On the fragility of periodic tori for families of symplectic twist maps
Marie-Claude Arnaud, Jessica Elisa Massetti, Alfonso Sorrentino
In this article we study the fragility of Lagrangian periodic tori for symplectic twist maps of the -dimensional annulus and prove a rigidity result for completely integrable o…