For a closed connected manifold N, we construct a family of functions on the Hamiltonian
group G of the cotangent bundle T^* N, and a family of functions on the space of smooth …

John Mather's seminal works in Hamiltonian dynamics represent some of the most important
contributions to our understanding of the complex balance between stable and unstable …

Let $ H (q, p) $ be a Hamiltonian on $ T^* T^ n $. We show that the sequence $ H_ {k}(q, p)=
H (kq, p) $ converges for the $\gamma $ topology defined by the author, to $\bar {H}(p) …

In his article [23] on generating functions Viterbo constructed a bi-invariant metric on the
group of compactly supported Hamiltonian symplectomorphisms of ℝ2n. Using the setup of …

This article is concerned with the study of Mather's\beta-function associated to Birkhoff
billiards. This function corresponds to the minimal average action of orbits with a prescribed …

Dans une première partie, nous développerons la théorie de l'homogénéisation
symplectique ainsi que ses applications à la théorie de Mather et à la rigidité symplectique …

A Birkhoff billiard is a system describing the inertial motion of a point mass inside a strictly
convex planar domain, with elastic reflections at the boundary. The study of the associated …

On discute et clarifie quelques questions liées à la généralisation du théorème de Bernard
sur l'invariance symplectique des ensembles d'Aubry, de Mather et de Mañé aux cas de …

A quasi-integral on a locally compact space is a certain kind of (not necessarily linear)
functional on the space of continuous functions with compact support of that space. We …

A mathematical billiard is a system describing the inertial motion of a point mass inside a
domain, with elastic reflections at the boundary. The study of the associated dynamics is …