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math.DG2020
Self-focal points of ellipsoids of dimension
Sean Gomes, Steve Zelditch
A self-focal point of a Riemannian manifold is a point so that every geodesic starting from returns to at some positive time. It is called a pole if all geodesi…
math.AP2020
Caustics of weakly Lagrangian distributions
Sean Gomes, Jared Wunsch
We study semiclassical sequences of distributions associated to a Lagrangian submanifold of phase space $\lag \subset T^*X$. If is a semiclassical Lagrangian distributi…