A generic property of families of Lagrangian systems

Patrick Bernard (1) , Gonzalo Contreras (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 CIMAT - Centro de Investigación en Matemáticas

We prove that a generic lagrangian has finitely many minimizing measures for every cohomology class.

Domaines: Systèmes dynamiques [math.DS]

Patrick Bernard, Gonzalo Contreras. A generic property of families of Lagrangian systems. Annals of Mathematics, 2008, 167 (3), pp.1-10. ⟨10.4007/annals.2008.167.1099⟩. ⟨hal-00294671⟩