2 citations · 2 across the 1 of their papers we have counts for
3 papers
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.AP2018
Semiclassical scarring on tori in KAM Hamiltonian systems
Sean Gomes, Andrew Hassell
We show that for almost all perturbations in a one-parameter family of KAM Hamiltonians on a smooth compact surface, for almost all KAM Lagrangian tori , we can find a semicla…
math.AP2017★ 2 cited
Quantum ergodicity in mixed and KAM Hamiltonian systems
Sean Gomes
In this thesis, we investigate quantum ergodicity for two classes of Hamiltonian systems satisfying intermediate dynamical hypotheses between the well understood extremes of ergodi…