37 citations · 126 across the 20 of their papers we have counts for
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math.DS2013
A variational approach to the study of the existence of invariant Lagrangian graphs
Alfonso Sorrentino
This paper surveys some results by the author and collaborators on the existence of invariant Lagrangian graphs for Tonelli Hamiltonian systems. The presentation is based on an inv…
math.DS2013
Computing Mather's β-function for Birkhoff billiards
Alfonso Sorrentino
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. This function corresponds to the minimal average action of orbits with a prescribe…
math.DS2013
Symplectic and contact properties of the Mañé critical value of the universal cover
Gabriel P. Paternain, Alfonso Sorrentino
We discuss several symplectic aspects related to the Mañé critical value c_u of the universal cover of a Tonelli Hamiltonian. In particular we show that the critical energy level i…