13 citations · 21 across the 7 of their papers we have counts for
7 papers
Fatal errors and misuse of mathematics in the Hong-Page Theorem and Landemore's epistemic argument
Álvaro Romaniega
In the pursuit of understanding collective intelligence, the Hong-Page Theorems have been presented as cornerstones of the interplay between diversity and ability. However, upon ri…
Non-integrability and chaos for natural Hamiltonian systems with a random potential
Alberto Enciso, Daniel Peralta-Salas, Álvaro Romaniega
Consider the ensemble of Gaussian random potentials on the -dimensional torus where, essentially, is a real-valued trigonometric polynomial of…
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…
Nodal set of monochromatic waves satisfying the Random Wave Model
Álvaro Romaniega, Andrea Sartori
We construct deterministic solutions to the Helmholtz equation in which behave accordingly to the Random Wave Model. We then find the number of their nodal domains,…
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…
A new class of entropic information measures, formal group theory and information geometry
Miguel A. Rodríguez, Álvaro Romaniega, Piergiulio Tempesta
In this work, we study generalized entropies and information geometry in a group-theoretical framework. We explore the conditions that ensure the existence of some natural properti…