On the Conley decomposition of Mather sets
classification
🧮 math.DS
keywords
matherdecompositionlagrangiansetsapplicationappropriateaubrychain-transitive
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In the context of Mather's theory of Lagrangian systems, we study the decomposition in chain-transitive classes of the Mather invariant sets. As an application, we prove, under appropriate hypotheses, the semi-continuity of the so-called Aubry set as a function of the Lagrangian.
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