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- W3122909786 abstract "We prove that the Aubry and Mañé sets introduced by Mather in Lagrangian dynamics are symplectic invariants. In order to do so, we introduce a barrier on phase space. This is also an occasion to suggest an Aubry-Mather theory for nonconvex Hamiltonians Résumé On montre que les ensembles d'Aubry et de Mañé introduits par Mather en dynamique Lagrangienne sont des invariants symplectiques. On introduit pour ceci une barriere dans l'espace des phases. Ceci est aussi l'occasion d'ébaucher une théorie d'Aubry-Mather pour des Hamiltoniens non convexes" @default.
- W3122909786 created "2021-02-01" @default.
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- W3122909786 date "2007-02-15" @default.
- W3122909786 modified "2023-10-14" @default.
- W3122909786 title "Symplectic aspects of Mather theory" @default.
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- W3122909786 doi "https://doi.org/10.1215/s0012-7094-07-13631-7" @default.
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