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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.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…
math.DS2024
Maximal tori in infinite-dimensional Hamiltonian systems: a Renormalization Group approach
Livia Corsi, Guido Gentile, Michela Procesi
We study the existence of infinite-dimensional invariant tori in a mechanical system of infinitely many rotators weakly interacting with each other. We consider explicitly interact…