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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…
math.SP2021
Critical point asymptotics for Gaussian random waves with densities of any Sobolev regularity
Alberto Enciso, Daniel Peralta-Salas, Álvaro Romaniega
We consider Gaussian random monochromatic waves on the plane depending on a real parameter that is directly related to the regularity of its Fourier transform. Specifically…