Hadrian Quan

collaborators

3 papers

math.AP2024

Exponential localization of 2d Magnetic Schrödinger eigenfunctions via Brownian flux

Hadrian Quan

We study solutions of $\frac{1}{2} (- i \nabla - A (x))^{2} f = λ f$ on domains $Ω \subset R^{2}$ with Dirichlet boundary conditions and prove exponential decay estimates in terms of an…

math.AP2023

On localization of eigenfunctions of the magnetic Laplacian

Jeffrey S. Ovall, Hadrian Quan, Robyn Reid +1

Let $Ω \subset R^{d}$ and consider the magnetic Laplace operator given by $H (A) = (- i \nabla - A (x))^{2}$ , where $A : Ω \to R^{d}$ , 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…