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20082026
most citedAn abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifold

68 citations · 199 across the 21 of their papers we have counts for

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math.AP2023★ 1 cited

Almost-periodic solutions to the NLS equation with smooth convolution potentials

Livia Corsi, Guido Gentile, Michela Procesi

We consider the one-dimensional NLS equation with a convolution potential and a quintic nonlinearity. We prove that, for most choices of potentials with polynomially decreasing Fou…

math.DS2023

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…