Articles & talks

Papers in this page may be subjected to changes and updates.

Articles & Preprints

  • Exponential stability estimates for the 1D NLS, with L. Biasco and M. Procesi (submitted 2018) [Link to ArXiv],
  • Exponential and sub-exponential stabililty times for the NLS on the circle (with L. Biasco and M. Procesi), Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.  (2018)
  • Almost-periodic solutions for the nonlinear Schrödinger equation, with L. Biasco and M. Procesi (in redaction, 2018)
  • A normal form à la Moser for diffeomorphisms and a generalization of Rüssmann’s translated curve theorem to higher dimensions, Analysis & PDE 11-1 (2018), 149–170 [PDF]
  • Normal forms for perturbations of systems possessing a Diophantine invariant torus, Ergodic Theory and Dynamical Systems, 1-47. doi:10.1017/etds.2017.116 (first published online) [PDF]
  • Normally hyperbolic invariant circles via elliptic methods: an example, in revision (2016)

In preparation

  • Spin-orbit systems with general dissipation (with B. Fayad)

Ph.D thesis

  • Quasi-périodicité et quasi-conservativité [PDF]
    Thèse de doctorat, Observatoire de Paris (Octobre 2015)
    Jury: J. Laskar (président), A. Chenciner et Jacques Féjoz (directeurs), L. Chierchia et J.-P. Marco (rapporteurs), B. Fayad (examinateur)

EXPOSÉS INVITÉS (INVITED TALKS)

  • On almost periodic solutions for the nonlinear Schrödinger equation.
    Università degli Studi di Roma Torvergata, December 2017
  • A generalization of Rüssmann’s translated curve theorem to higher dimensions.
    Imperial College, March 2017
  • From Moser’s normal form to a dissipative KAM theory.
    The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, july 2016
  • Normal forms for perturbations of systems possessing a Diophantine invariant torus.
    Warwick Dynamical Systems Workshop, 6-8 june 2016
  • From Moser’s normal form to a dissipative KAM theory.
    Seminario di Fisica Matematica, Univesità Federico II, Naples, april 2016
  • Moser’s normal form and dissipative KAM theory
    Séminaire Géométrie et Systèmes Dynamiques, Institut de Mathématiques de Bourgogne, mars 2016
  • Normal forms for perturbations of systems possessing an invariant Diophantine torus
    Séminaire de Systèmes Dynamiques, Analyse et Géométrie, Avignon, mars 2016
  • Forme normale de Moser et théorie KAM dissipative. Application au problème Spin-Orbite en mécanique céleste
    Séminaire de Géométrie Hamiltonienne, Institut mathématique de Jussieu, janvier 2016
  • Moser’s normal form and applications
    Euler International Mathematical Institute, St. Petersbourg, june 2015
  • Moser’s normal form and dissipative KAM theory
    Séminaire Dynamique et Géométrie, Université Nice Sophia-Antipolis, avril 2015
  • Moser’s normal form and applications
    Seminario Enriques, Universià degli Studi di Milano, octobre 2013
  • Forme normale de Moser et théorie KAM dissipative
    Semaine KAM (Trimestre sur la dynamique des N-corps), Institut Henri Poincaré, sept 2013
  • Variétés invariantes dans les systèmes dissipatifs
    Journées Scientifiques de l’IMCCE, Observatoire de Paris, octobre 2012