Alfonso Sorrentino

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In the study of Tonelli Lagrangian and Hamiltonian systems, a central role in understanding the dynamical and topological properties of the action-minimizing sets (also called Mather and Aubry sets), is played by the so-called Mather’s average action (sometimes referred to as β-function or effective Lagrangian), with particular attention to its(More)
In this article we discuss a weaker version of Liouville’s theorem on the integrability of Hamiltonian systems. We show that in the case of Tonelli Hamiltonians the involution hypothesis on the integrals of motion can be completely dropped and still interesting information on the dynamics of the system can be deduced. Moreover, we prove that on the(More)
Given a smooth compact Riemannian manifold M and a Hamiltonian H on the cotangent space T∗M , strictly convex and superlinear in the momentum variables, we prove uniqueness of certain “ergodic” invariant Lagrangian graphs within a given homology or cohomology class. In particular, in the context of quasi-integrable Hamiltonian systems, our result implies(More)
A comparison between graphene flakes and graphene oxide as filler in gelatin based systems for low-cost transient biodegradable energy storage applications has been carried out. The two bio-composites have been prepared and characterized by rheological measurements, cyclic voltammetry measurements, chronopotentiometry measurements and impedance(More)
In this work the preparation of flexible polymeric films with controlled electrical conductivity, light transmission and surface wettability is reported. A drop casted graphene oxide thin film is photo-reduced at different levels by UV light or laser irradiation. Optical microscopy, IR spectroscopy, electrical characterization, Raman spectroscopy and static(More)
The first stages of the crystallization of polycaprolactone (PCL) were studied using several techniques. The crystallization exotherms measured by differential scanning calorimetry (DSC) were analyzed and compared with results obtained by polarized optical microscopy (POM), rheology, and atomic force microscope (AFM). The experimental results suggest a(More)
∗Current Address: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, United Kingdom. Email address: as998@cam.ac.uk †Supported also by Fondation des Sciences Mathématiques de Paris, Herchel-Smith foundation and Agence Nationale de la Recherche project “Hamilton-Jacobi et théorie KAM(More)
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