4 citations · 9 across the 8 of their papers we have counts for
8 papers
A direct approach to soft and hard edge universality for random normal matrices
Joakim Cronvall, Aron Wennman
We develop a unified approach to universality of local scaling limits for eigenvalues of random normal matrices, or equivalently for planar Coulomb gases at inverse temperature $β=…
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…
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…
Random normal matrices: eigenvalue correlations near a hard wall
Yacin Ameur, Christophe Charlier, Joakim Cronvall
We study pair correlation functions for planar Coulomb systems in the pushed phase, near a ring-shaped impenetrable wall. We assume coupling constant and that the number …
Disk counting statistics near hard edges of random normal matrices: the multi-component regime
Yacin Ameur, Christophe Charlier, Joakim Cronvall +1
We consider a two-dimensional point process whose points are separated into two disjoint components by a hard wall, and study the multivariate moment generating function of the cor…
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 boun…
Exponential moments for disk counting statistics at the hard edge of random normal matrices
Yacin Ameur, Christophe Charlier, Joakim Cronvall +1
We consider the multivariate moment generating function of the disk counting statistics of a model Mittag-Leffler ensemble in the presence of a hard wall. Let be the number of…
Szegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomials
Yacin Ameur, Joakim Cronvall
In this work we find and discuss an asymptotic formula, as , for the reproducing kernel in spaces of full-plane weighted polynomials $W(z)=P(z)\cdot e^{-\fra…