153 citations · 388 across the 27 of their papers we have counts for
11 papers · 1 filter
A word on thermal equilibrium and fluctuations of two-dimensional Coulomb systems
Yacin Ameur
In this note we examine the relationship between two-dimensional Coulomb systems and the thermal equilibrium measure, such as defined in the lecture notes [arXiv:2407.21194v1], poi…
Remarks on the one-point density of Hele-Shaw -ensembles
Yacin Ameur, Erik Troedsson
In this note we prove equicontinuity for the family of one-point densities with respect to a two-dimensional Coulomb gas at an inverse temperature confined by an externa…
Free energy and fluctuations in the random normal matrix model with spectral gaps
Yacin Ameur, Christophe Charlier, Joakim Cronvall
We study large expansions for the partition function of a Coulomb gas $$Z_n=\frac 1 {π^n}\int_{\mathbb{C}^n}\prod_{1\le i<j\le n}|z_i-z_j|^2\prod_{i=1}^n e^{-nQ(z_i)}\, d^2 z_i…
Gaussian beta ensembles: the perfect freezing transition and its characterization in terms of Beurling-Landau densities
Yacin Ameur, Felipe Marceca, José Luis Romero
The Gaussian -ensemble is a real -point configuration picked randomly with respect to the Boltzmann factor , $H_n=\sum_{i\ne j}\log\frac 1{|x_i…
Almost-Hermitian random matrices and bandlimited point processes
Yacin Ameur, Sung-Soo Byun
We study the distribution of eigenvalues of almost-Hermitian random matrices associated with the classical Gaussian and Laguerre unitary ensembles. In the almost-Hermitian setting,…
The planar low temperature Coulomb gas: separation and equidistribution
Yacin Ameur, José Luis Romero
We consider planar Coulomb systems consisting of a large number of repelling point charges in the low temperature regime, where the inverse temperature grows at least logar…