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On the tangent cones of Aubry sets

Published 8 Sep 2017 in math.DS | (1709.02860v2)

Abstract: We show that the paratingent cone of the Aubry set of the Tonelli Hamiltonian is contained in a cone bounded by the Green bundles. Our result improves the earlier result of M.-C. Arnaud on tangent cones of the Aubry sets.

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