83 citations · 122 across the 12 of their papers we have counts for
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Spectral cluster asymptotics of the Dirichlet to Neumann operator on the two-sphere
S. Pérez-Esteva, A. Uribe, C. Villegas-Blas
We study the spectrum of the Dirichlet to Neumann operator of the two-sphere associated to a Schrödinger operator in the unit ball. The spectrum forms clusters of size aro…
The Steklov spectrum of convex polygonal domains I: spectral finiteness
Emily B. Dryden, Carolyn Gordon, Javier Moreno +2
We explore the Steklov eigenvalue problem on convex polygons, focusing mainly on the inverse Steklov problem. Our primary finding reveals that, for almost all convex polygonal doma…
On the pseudospectra of Schrödinger operators on Zoll manifolds
David Sher, Alejandro Uribe, Carlos Villegas-Blas
We consider non-self-adjoint Schrödinger operators where is the Laplace-Beltrami operator on a Zoll manifold and . We obtain asymptotic re…
Asymptotic Density of Eigenvalue Clusters for the Perturbed Landau Hamiltonian
Alexander Pushnitski, Georgi Raikov, Carlos Villegas-Blas
We consider the Landau Hamiltonian (i.e. the 2D Schroedinger operator with constant magnetic field) perturbed by an electric potential V which decays sufficiently fast at infinity.…