195 citations · 627 across the 82 of their papers we have counts for
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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…
Computability and Beltrami fields in Euclidean space
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
In this article, we pursue our investigation of the connections between the theory of computation and hydrodynamics. We prove the existence of stationary solutions of the Euler equ…
Looking at Euler flows through a contact mirror: Universality and undecidability
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. In recent papers [5, 6, 7, 8] several unknown facets of the E…
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…
Turing universality of the incompressible Euler equations and a conjecture of Moore
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
In this article we construct a compact Riemannian manifold of high dimension on which the time dependent Euler equations are Turing complete. More precisely, the halting of any Tur…
MHD equilibria with nonconstant pressure in nondegenerate toroidal domains
Alberto Enciso, Alejandro Luque, Daniel Peralta-Salas
We prove the existence of piecewise smooth MHD equilibria in three-dimensional toroidal domains of where the pressure is constant on the boundary but not in the inte…