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 …

The aim of these notes is to present a self contained account of discrete weak KAM theory.
Put aside the intrinsic elegance of this theory, it is also a toy model for classical weak KAM …

An entropic characterization of the flat metrics on the two torus | Geometriae Dedicata Skip to
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In this paper, we study time-periodic perturbation of classical systems with two degrees of
freedom. A transition chain is established, by passing through small neighborhood of double …

We prove that all the Tonelli Hamiltonians defined on the cotangent bundle T^* T^ n T∗ T n
of the n n-dimensional torus that have no conjugate points are C^ 0 C 0 integrable, ie T^* T …

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 …

In this article we study the persistence of Lagrangian periodic tori for symplectic twist maps
of the $2 d $-dimensional annulus and prove a rigidity result for completely integrable ones …

In this article we study the fragility of Lagrangian periodic tori for symplectic twist maps of the
2d-dimensional annulus and prove a rigidity result for completely integrable ones. More …

The main goal of this paper is to understand finer properties of the effective burning velocity
from a combustion model introduced by Majda and Souganidis (1994 Nonlinearity 7 1–30) …

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 …