7 papers
SzegÅ 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…
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…
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…
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_…
The two-dimensional Coulomb gas: fluctuations through a spectral gap
Yacin Ameur, Christophe Charlier, Joakim Cronvall
We study a class of radially symmetric Coulomb gas ensembles at inverse temperature , for which the droplet consists of a number of concentric annuli, having at least one bou…