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math.SP2023
Equivalence of local weak and Benjamini--Schramm formulations of Berry's random wave model
Alba García-Ruiz
Berry's random wave model predicts that high-energy eigenfunctions of classically chaotic systems can be modeled locally, at the wavelength scale, by the Gaussian monochromatic ran…
math.SP2022
Inverse localization and global approximation for some Schrödinger operators on hyperbolic spaces
Alberto Enciso, Alba García-Ruiz, Daniel Peralta-Salas
We consider the question of whether the high-energy eigenfunctions of certain Schrödinger operators on the -dimensional hyperbolic space of constant curvature are flexibl…
math.SP2021
Localization properties of high energy eigenfunctions on flat tori
Alberto Enciso, Alba García-Ruiz, Daniel Peralta-Salas
We consider the question of when the Laplace eigenfunctions on an arbitrary flat torus are flexible enough to approximate, over the natural length sc…