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math.AP2024
Concentration of eigenfunctions on singular Riemannian manifolds
Charlotte Dietze, Larry Read
We consider a compact Riemannian manifold with boundary and a metric that is singular at the boundary. The associated Laplace-Beltrami operator is of the form of a Grushin operator…
math.SP2024
On the asymptotic number of low-lying states in the two-dimensional confined Stark effect
Larry Read
We investigate the Stark operator restricted to a bounded domain with Dirichlet boundary conditions. In the semiclassical limit, a three-term asymptotic expa…