Santiago Verdasco

collaborators

3 papers

math.SP2026

Quantum Limits of the Laplacian perturbed along a geodesic on $S^{2}$

Santiago Verdasco

This article studies the high-frequency behavior of eigenstates of perturbations of the Laplace-Beltrami operator on the two-sphere $S^{2}$ by a measure supported on an eq…

math.SP2026

High-energy eigenfunctions of point perturbations of the Laplacian on the spheres $S^{2}$ and $S^{3}$

Santiago Verdasco

We study the set of Quantum Limits, and more generally, of semiclassical measures of sequences of eigenfunctions of perturbations of the Laplacian on the spheres $S^{2}$ a…

math.SP2026

High-energy eigenfunctions of point-perturbations of the Laplacian

Santiago Verdasco

In this paper, we explore the high-frequency properties of eigenfunctions of point perturbations of the Laplacian on a compact Riemannian manifold. These systems cannot be obtained…

Quantum Limits of the Laplacian perturbed along a geodesic on S2

High-energy eigenfunctions of point perturbations of the Laplacian on the spheres S2 and S3

High-energy eigenfunctions of point-perturbations of the Laplacian

Quantum Limits of the Laplacian perturbed along a geodesic on $S^{2}$

High-energy eigenfunctions of point perturbations of the Laplacian on the spheres $S^{2}$ and $S^{3}$