Proves uniqueness of Busemann functions for hyperbolic rays sharing a limit shape in the N-body problem, yielding corollaries that such motions are eventually minimizers and that geodesic rays are generically unique without collisions.
Burgos Existence of partially hyperbolic motions in the N -body problem, Proc
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Uniqueness of hyperbolic Busemann functions in the Newtonian N-body problem
Proves uniqueness of Busemann functions for hyperbolic rays sharing a limit shape in the N-body problem, yielding corollaries that such motions are eventually minimizers and that geodesic rays are generically unique without collisions.