2 papers
math.DS2026
Halfway between Heaven and Hell
Richard Montgomery
We pose several questions for the classical N-body problem inspired by connections between the virial equation and the Jacobi-Maupertuis formulationof mechanics. We answer some.
math.CO2024
Trees with many leaves in tournaments
Alistair Benford, Richard Montgomery
Sumner's universal tournament conjecture states that every -vertex tournament should contain a copy of every -vertex oriented tree. If we know the number of leaves of an…