153 citations · 388 across the 27 of their papers we have counts for
32 papers
Szegő type correlations for two-dimensional outpost ensembles
Yacin Ameur, Ena Jahic
We consider two-dimensional Coulomb systems for which the coincidence set contains an outpost in the form of a suitable Jordan curve. We study asymptotics for correlations along th…
A formula for the edge density -correction for two-dimensional Coulomb systems
Yacin Ameur
In connection with recent work on smallest gaps, C. Charlier proves that the 1-point function of a suitable planar Coulomb system , in the determinantal case with resp…
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…
On fluctuations of Coulomb systems and universality of the Heine distribution
Yacin Ameur, Joakim Cronvall
We consider a class of external potentials on the complex plane for which the coincidence set to the obstacle problem contains a Jordan curve in the exterior of the dr…
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…