153 citations · 388 across the 27 of their papers we have counts for
12 papers · 1 filter
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…
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…
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 …
Eigenvalues of truncated unitary matrices: disk counting statistics
Yacin Ameur, Christophe Charlier, Philippe Moreillon
Let be an truncation of an Haar distributed unitary matrix. We consider the disk counting statistics of the eigenvalues of . We prove that as…
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…