Papers in this page may be subjected to changes and updates.
Articles & Preprints
[8] Flexibility and analytic smoothing in averaging theory, with S. Barbieri and J.-P. Marco (2021), (link to HAL)
[7] On the rigidity of integrable deformations of twist maps and Hamiltonian flows, with a. Sorrentino (2020) (Link to ArXiv)
[6] A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS, with L. Biasco and M. Procesi, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. (2020)
[5] Almost-periodic invariant tori for the NLS on the circle, with L. Biasco and M. Procesi, Annales de l’Institut Henri Poicaré C, Analyse Nonlinéaire (2020) (Link to ArXiv), https://doi.org/10.1016/j.anihpc.2020.09.003
[4] An abstract Birkhoff Normal Form Theorem and exponential
type stability of the 1d NLS, (with L. Biasco and M. Procesi ), Comm. In Math. Phys. (2019) [PDF],
[3] 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)
[2] 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]
[1] 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]
In preparation
- Spin-orbit systems with general dissipation (with B. Fayad)
- Normally hyperbolic invariant circles via elliptic methods: an example
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