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math.DS2010★ 24 cited
Lecture notes on Mather's theory for Lagrangian systems
Alfonso Sorrentino
These are introductory lecture notes on Mather's theory for Tonelli Lagrangian and Hamiltonian systems. They are based on a series of lectures given by the author at Università deg…
math.DS2007★ 1 cited
On the total disconnectedness of the quotient Aubry set
Alfonso Sorrentino
In this paper we show that the quotient Aubry set associated to certain Lagrangians is totally disconnected (i.e., every connected component consists of a single point). Moreover,…