148 citations · 457 across the 19 of their papers we have counts for
4 papers · 1 filter
Intermediate deviation regime for the full eigenvalue statistics in the complex Ginibre ensemble
Bertrand Lacroix-A-Chez-Toine, Jeyson Andres Monroy Garzon, Christopher Sebastian Hidalgo Calva +4
We study the Ginibre ensemble of complex random matrices and compute exactly, for any finite , the full distribution as well as all the cumulants of the number $N_r…
Universal behavior of the full particle statistics of one-dimensional Coulomb gases with an arbitrary external potential
Rafael Díaz Hernández Rojas, Christopher Sebastian Hidalgo Calva, Isaac Pérez Castillo
We present a complete theory for the full particle statistics of the positions of bulk and extremal particles in a one-dimensional Coulomb Gas (CG) with an arbitrary potential, in…
Phase transitions in the condition number distribution of Gaussian random matrices
Isaac Pérez Castillo, Eytan Katzav, Pierpaolo Vivo
We study the statistics of the condition number (the ratio between largest and smallest squared singular values) of Gaussian rando…
Typical properties of large random economies with linear activities
A. De Martino, M. Marsili, I. Pérez Castillo
We study the competitive equilibrium of large random economies with linear activities using methods of statistical mechanics. We focus on economies with commodities, firms,…