Publications

Publications

·A degenerate Arnold diffusion mechanism in the restricted 3-body problem

(joint with Marcel Guardia and Tere Seara) To appear in Annales scientifiques de l'Ecole normale supérieure, available on arXiv 

·Parabolic saddles and Newhouse domains in celestial mechanics

(joint with Miguel Garrido and Pau Martín) Communications in Mathematical Physics, Volume 406, 173, (2025), available on arXiv 

·Symbolic dynamics in the restricted Isosceles 3-body problem

(joint with Marcel Guardia,  Tere Seara and Claudio Vidal) Journal of Differential Equations, Volume 294 (2021), available on arXiv.  

Preprints

· Partially hyperbolic dynamics in the 3-body problem.  

(joint with Marcel Guardia) (2025) available here.

·KAM invariant tori for infinitely many weakly interacting particles .

(joint with Dima Dolgopyat and Bassam Fayad)  (2025) available here. 

· Hyperbolic dynamics and oscillatory motions in the 3-body problem.  

(joint with Marcel Guardia,  Pau Martín and Tere Seara) (2022) available at arXiv .

· Oscillatory motions in the restricted 3-body problem: A functional analytic approach.

(joint with  Susanna Terracini) (2022) available at arXiv .

In preparation

·Lyapunov unstable approximation of integrable symplectomorphisms

(joint with Bassam Fayad, Maria Saprykina and Tere Seara)