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20142023
most citedAsymptotics of Hankel determinants with a one-cut regular potential and Fisher-Hartwig singularities

40 citations · 223 across the 39 of their papers we have counts for

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Showing 2022 · math-phShow all

6 papers · 2 filters

math-ph2022★ 4 cited

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…

math-ph2022★ 1 cited

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…

math-ph2022★ 1 cited

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…

math-ph2022

On the almost-circular symplectic induced Ginibre ensemble

Sung-Soo Byun, Christophe Charlier

We consider the symplectic induced Ginibre process, which is a Pfaffian point process on the plane. Let be the number of points. We focus on the almost-circular regime where mo…

math-ph2022★ 5 cited

On the characteristic polynomial of the eigenvalue moduli of random normal matrices

Sung-Soo Byun, Christophe Charlier

We study the characteristic polynomial where the are drawn from the Mittag-Leffler ensemble, i.e. a two-dimensional determinantal poin…

math-ph2022★ 12 cited

Exponential moments for disk counting statistics of random normal matrices in the critical regime

Christophe Charlier, Jonatan Lenells

We obtain large asymptotics for the -point moment generating function of the disk counting statistics of the Mittag-Leffler ensemble. We focus on the critical regime where a…