73 citations · 677 across the 78 of their papers we have counts for
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Local limits of high energy eigenfunctions on integrable billiards
Alberto Enciso, Alba Garcia-Ruiz, Daniel Peralta-Salas
Berry's random wave conjecture posits that high energy eigenfunctions of chaotic systems resemble random monochromatic waves at the Planck scale. One important consequence is that,…
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…
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…
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…
Beltrami fields exhibit knots and chaos almost surely
Alberto Enciso, Daniel Peralta-Salas, Álvaro Romaniega
In this paper we show that, with probability 1, a random Beltrami field exhibits chaotic regions that coexist with invariant tori of complicated topologies. The motivation to consi…
Asymptotics for the nodal components of non-identically distributed monochromatic random waves
Alberto Enciso, Daniel Peralta-Salas, Álvaro Romaniega
We study monochromatic random waves on defined by Gaussian variables whose variances tend to zero sufficiently fast. This has the effect that the Fourier transform o…