C. Villegas-Blas

activity

20242026

collaborators

4 papers

math.DG2026

The Steklov spectrum of convex polygonal domains II: investigating spectral determination

Emily B. Dryden, Carolyn Gordon, Javier Moreno +2

The extent to which the geometry of an object is determined by some associated spectral data is a longstanding problem. We investigate this problem in the context of the Steklov sp…

math.AP2025

Longtime dynamics for the Landau Hamiltonian with a time dependent magnetic field

Dario Bambusi, Benoit GrÃ©bert, Alberto Maspero +2

We consider a modulated magnetic field, $B (t) = B_{0} + ε f (I ¨ t)$ , perpendicular to a fixed plane, where $B_{0}$ is constant, $ε > 0$ and $f$ a periodic function on th…

math.SP2024

Spectral cluster asymptotics of the Dirichlet to Neumann operator on the two-sphere

We study the spectrum of the Dirichlet to Neumann operator of the two-sphere associated to a SchrÃ¶dinger operator in the unit ball. The spectrum forms clusters of size $O (1/ k)$ ar…

math.SP2024

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…