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math.AP2023
On localization of eigenfunctions of the magnetic Laplacian
Jeffrey S. Ovall, Hadrian Quan, Robyn Reid +1
Let and consider the magnetic Laplace operator given by , where , subject to Dirichlet…
math.SP2023
The wave kernel on asymptotically complex hyperbolic manifolds
Hadrian Quan
We study the behavior of the wave kernel of the Laplacian on asymptotically complex hyperbolic manifolds for finite times. We show that the wave kernel on such manifolds belongs to…
math.DG2023
Self-adjointness criteria and self-adjoint extensions of the Laplace-Beltrami operator on -Grushin manifolds
Ivan Beschastnyi, Hadrian Quan
The Grushin plane serves as one of the simplest examples of a sub-Riemannian manifold whose distribution is of non-constant rank. Despite the fact that the singular set where this…