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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…
math.AP2011★ 6 cited
Translation Invariance of weak KAM solutions of the Newtonian N-body problem
Ezequiel Maderna
We consider in this note the Hamilton-Jacobi equation H(x, dx u) = c, where c \geq 0, of the classical N-body problem in an Euclidean space E of dimension k \geq 2. The fixed point…