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

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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…