4 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…
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 {Ï^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_…
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 extern…
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…