Remarks on the symplectic invariance of Aubry-Mather sets

Abstract : In this short note we discuss and clarify some issues related to the generalization of Bernard's theorem on the symplectic invariance of Aubry, Mather and Mañé sets, to the cases of non-zero cohomology classes or non-exact symplectomorphisms, not necessarily homotopic to the identity.
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Marco Mazzucchelli, Alfonso Sorrentino. Remarks on the symplectic invariance of Aubry-Mather sets. Comptes Rendus Mathématique, Elsevier Masson, 2016, 354, pp.419 - 423. ⟨10.1016/j.crma.2016.01.001⟩. ⟨ensl-01404276⟩

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