Andrea Venturelli

most citedGlobally minimizing parabolic motions in the Newtonian N-body problem

29 citations · 29 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2024

Uniqueness of hyperbolic Busemann functions in the Newtonian N-body problem

Ezequiel Maderna, Andrea Venturelli

For the N-body problem we prove that any two hyperbolic rays having the same limit shape define the same Busemann function. We localize a region of differentiability for these func…

math.DG2024

On potentials whose level sets are orbits

Philippe Bolle, Marco Mazzucchelli, Andrea Venturelli

A level orbit of a mechanical Hamiltonian system is a solution of Newton equation that is contained in a level set of the potential energy. In 2003, Mark Levi asked for a character…

math.DS2015★ 29 cited

Globally minimizing parabolic motions in the Newtonian N-body problem

Ezequiel Maderna, Andrea Venturelli

We consider the $N$ -body problem in $R^{d}$ with the newtonian potential $1/ r$ . We prove that for every initial configuration $x_{i}$ and for every minimizing normalized centr…