Diego Berti

collaborators

4 papers

math.DS2026

Expansive solutions and the boundary at infinity for the homogeneous $N$ -body problem

Diego Berti, Davide Polimeni, Susanna Terracini

We investigate expansive solutions of the $N$ -body problem in $R^{d}$ ( $d \geq 2$ ) driven by homogeneous Newtonian potentials of degree $- I^\pm$ . We establish the existence of hal…

math.DS2025

Symmetric solutions of the $n$ -body problem: a numerical study of Floquet multipliers and Morse indices

Diego Berti, Gian Marco Canneori, Roberto Ciccarelli +3

In this paper, we consider periodic solutions of the $n$ -body problem that satisfy symmetry constraints, expressed through invariance under finite group actions. We focus on their…

math.DS2025

On the regularity of solutions to the Hamilton-Jacobi equations for the N-body problem

Diego Berti, Davide Polimeni, Susanna Terracini

We prove that certain suitably renormalized value functions associated with the $d$ -dimensional ( $d \geq 2$ ) $N$ -body problem corresponding to different limiting shapes of expanding…

math.AP2025

New bounds on the high Sobolev norms of the 1d NLS solutions

Diego Berti, Fabrice Planchon, Nikolay Tzvetkov +1

We introduce modified energies that are suitable to get upper bounds on the high Sobolev norms for solutions to the $1$ D periodic NLS. Our strategy is rather flexible and allows us…

Expansive solutions and the boundary at infinity for the homogeneous N-body problem

Symmetric solutions of the n-body problem: a numerical study of Floquet multipliers and Morse indices

On the regularity of solutions to the Hamilton-Jacobi equations for the N-body problem

New bounds on the high Sobolev norms of the 1d NLS solutions

Expansive solutions and the boundary at infinity for the homogeneous $N$ -body problem

Symmetric solutions of the $n$ -body problem: a numerical study of Floquet multipliers and Morse indices