A geometric definition of the Aubry-Mather set

published version
february 2010

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Authors: Patrick Bernard and Joana Santos


Journal of Topology and Analysis 2 (2010), no. 3, 385-393.




Abstract:
We study the Aubry set which appears in Mather theory of convex Hamiltonian systems from the point of view of symplectic geometry.



Résumé:
On étudie l'ensemble d'Aubry qui apparait dans la théorie de Mather des systèmes Hamiltoniens convexe du point de vue de la géométrie symplectique.