37 citations · 126 across the 20 of their papers we have counts for
23 papers
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…
Aubry-Mather theory on graphs
Antonio Siconolfi, Alfonso Sorrentino
We formulate Aubry-Mather theory for Hamiltonians/Lagrangians defined on graphs and discuss its relationship with weak KAM theory developed in [24].
On the rigidity of integrable deformations of twist maps and Hamiltonian flows
Jessica Elisa Massetti, Alfonso Sorrentino
In this article we investigate rigidity properties of integrable area-preserving twist maps of the cylinder. More specifically, we prove that if a deformation of the standard integ…
Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle
Stefano Galatolo, Alfonso Sorrentino
We prove quantitative statistical stability results for a large class of small perturbations of circle diffeomorphisms with irrational rotation numbers. We show that if the…
On the regularity of Mather's -function for standard-like twist maps
Carlo Carminati, Stefano Marmi, David Sauzin +1
We consider the minimal average action (Mather's function) for area preserving twist maps of the annulus. The regularity properties of this function share interesting relations…
On the Homogenization of the Hamilton-Jacobi Equation
Alfonso Sorrentino
In this article we describe how the celebrated result by Lions, Papanicolau and Varadhan on the Homogenization of Hamilton-Jacobi equation can be extended beyond the Euclidean sett…