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arXiv · 1003.2139

Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures

Marie-Claude Arnaud
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Abstract

In this article, we study the minimizing measures of the Tonelli Hamiltonians. More precisely, we study the relationships between the so-called Green bundles and various notions as: - the Lyapunov exponents of minimizing measures; -the weak KAM solutions. In particular, we deduce that the support of every minimizing measure all of whose Lyapunov exponents are zero is C1-regular almost everywhere.

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Marie-Claude Arnaud. 2012-02-10. Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures. https://arxiv.org/abs/1003.2139

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