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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…
math.SP2020★ 1 cited
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…