Thumbnail - No thumbnail

On the Conley decomposition of Mather sets

Bernard, Patrick (2010), On the Conley decomposition of Mather sets, Revista Matematica Iberoamericana, 26, 1, p. 115-132. 10.4171/RMI/596

Type
Article accepté pour publication ou publié
External document link
https://arxiv.org/abs/0807.1593v2
Date
2010
Journal name
Revista Matematica Iberoamericana
Volume
26
Number
1
Publisher
Consejo Superior de Investigaciones Científicas
Pages
115-132
Publication identifier
Metadata
Show full item record
Author(s)
Bernard, Patrick cc
Abstract (EN)
In the context of Mather's theory of Lagrangian systems, we study the decomposition in chain-transitive classes of the Mather invariant sets. As an application, we prove, under appropriate hypotheses, the semi-continuity of the so-called Aubry set as a function of the Lagrangian.
Subjects / Keywords
Mather measures; Lagrangian Systems; Semi-continuity of the Aubry set; minimizing measures; chain transitivity