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A Fully Discrete Variational Approximation of Mather Measures and Sets

Camilli, Fabio et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdesdynamical-systemsnumerical-analysisoptimization-and-control
We introduce a fully--discrete variational approximation of Mather measures and sets for Tonelli Lagrangians on the flat torus, together with a numerical procedure for approximating the entire Mather set. The scheme is based on a fully--discrete Lax--Oleinik operator with integer winding labels. We
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