3 papers
math.DS2026
Long time stability for Lagrangian tori in infinite dimensional lattice systems
Livia Corsi, Michela Procesi
We consider a mechanical system of infinitely many rotators weakly interacting with each other and prove that the infinite dimensional invariant tori provided by \cite{CGP} are Lag…
math.AP2025
Asymptotically full measure sets of almost-periodic solutions for the NLS equation
Luca Biasco, Livia Corsi, Guido Gentile +1
We study the dynamics of solutions for a family of nonlinear Schroedinger equations on the circle, with a smooth convolution potential and Gevrey regular initial data. Our main res…
math.DS2024
Analiticity of the Lyapunov exponents of perturbed toral automorphisms
Gian Marco Marin, Federico Bonetto, Livia Corsi
We consider a dynamical system generated by an analytic perturbation of an analytic Anosov diffeomorphism of $\TTT^d$. We show that, if admit a splittin…