Lecture notes on Mather's theory for Lagrangian systems

Alfonso Sorrentino

Type: Preprint

Publication Date: 2010-01-01

Citations: 28

DOI: https://doi.org/10.48550/arxiv.1011.0590

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+ PDF Chat	Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set	2018	Olga Bernardi Anna Florio
+ PDF Chat	Differentiability of Mather's average action and integrability on closed surfaces	2011	Daniel Massart Alfonso Sorrentino
+	On the Optimal Transport of Semiclassical Measures	2015	Lorenzo Zanelli
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+ PDF Chat	Variational construction of positive entropy invariant measures of Lagrangian systems and Arnold diffusion	2018	Siniša Slijepčević
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Works Cited by This (39)

Action	Title	Year	Authors
+ PDF Chat	Failure of convergence of the Lax-Oleinik semi-group in the time periodic case	2000	Albert Fathi John N. Mather
+	Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory	2003	Gabriel P. Paternain Leonid Polterovich Karl Friedrich Siburg
+ PDF Chat	Connecting orbits of time dependent Lagrangian systems	2002	Patrick Bernard
+	The discrete Frenkel-Kontorova model and its extensions	1983	S. Aubry P. Y. Le Daëron
+ PDF Chat	Smooth critical sub-solutions of the Hamilton-Jacobi equation	2007	Patrick Bernard
+	More Denjoy minimal sets for area preserving diffeomorphisms	1985	John N. Mather
+	On minimizing measures of the action of autonomous Lagrangians	1995	Mario Carneiro
+	Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens	1997	Albert Fathi
+	Existence of quasi-periodic orbits for twist homeomorphisms of the annulus	1982	John N. Mather
+	Lagrangian flows: The dynamics of globally minimizing orbits-II	1997	Gonzalo Contreras Jorge Delgado Renato Iturriaga