Poincaré established the problem how much of the stability mechanism of integrable
Hamiltonian systems can persist under small perturbations, which he called “the …

Contact geometry in the restricted three-body problem: a survey | Journal of Fixed Point Theory
and Applications Skip to main content SpringerLink Account Menu Find a journal Publish with …

arXiv:0907.2055v2 [math.DS] 9 Dec 2010 Page 1 arXiv:0907.2055v2 [math.DS] 9 Dec 2010
Differentiability of Mather’s average action and integrability on closed surfaces Daniel Massart …

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 …

The aim of this paper is to state and prove a polynomial analogue of the classical Manning
inequality, relating the topological entropy of a geodesic flow with the growth rate of the …

We construct a short-range potential on a bidimensional full shift and finite alphabet that
exhibits a zero-temperature chaotic behaviour as introduced by van Enter and Ruszel. A …

In the setting of the Weyl quantization on the flat torus T^n, we exhibit a class of wave
functions with uniquely associated Wigner probability measure, invariant under the …

In the framework of toroidal Pseudodifferential operators on the flat torus T^ n:=(R/2 π Z)^ n T
n:=(R/2 π Z) n we begin by proving the closure under composition for the class of Weyl …

In this article we prove that for a smooth fiberwise convex Hamiltonian, the asymptotic Hofer
distance from the identity gives a strict upper bound to the value at 0 of Mather's β function …

This paper deals with the phase space analysis for a family of Schrödinger eigenfunctions ψ
ℏ on the flat torus 𝕋 n=(ℝ/2 π ℤ) n by the semiclassical Wave Front Set. We study those ψ ℏ …