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math.DS2025
Singular KAM theory for convex Hamiltonian systems
Santiago Barbieri, Luca Biasco, Luigi Chierchia +1
In this note, we briefly discuss how singular KAM Theory - which was worked out in a previous work by L.B. and L.C. for the mechanical case - can b…
math.DS2024
Nearly-optimal effective stability estimates around Diophantine tori of Hölder Hamiltonians
Santiago Barbieri, Gerard Farré
We prove that the solutions of Hölder-differentiable Hamiltonian systems, associated to initial conditions in a small ball of radius around a Lagrangian, Diophantine,…