35 citations · 57 across the 17 of their papers we have counts for
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math.AP2020
Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We prove a bound on the growth of Sobolev norms for unbounded time dependent perturbations of the Laplacian on flat tori.
math-ph2020
Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We study Schrödinger operators with Floquet boundary conditions on flat tori obtaining a spectral result giving an asymptotic expansion of all the eigenvalues. The expansion is in…
math.DS2020
A simple proof for a Nekhoroshev theorem
Dario Bambusi, Beatrice Langella
We prove a version of the Nekhoroshev's estimate on the stability times of the actions in close to integrable Hamiltonian systems. The proof we give is a variant of the…