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20182026
most citedAubry set for sub-Riemannian control systems

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math.DS2026

A Fully Discrete Variational Approximation of Mather Measures and Sets

Fabio Camilli, Cristian Mendico

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 approximatin…

math.DS2026

Semi-Discrete Approximation of Aubry and Mather sets

Fabio Camilli, Cristian Mendico

We study the semi-discrete approximation of Aubry and Mather sets for Tonelli Lagrangians on the flat torus. Starting from the discrete Lax--Oleinik equation, we introduce natural…