5 citations · 6 across the 4 of their papers we have counts for
13 papers
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…
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…
On the generating function of the Pearcey process
Christophe Charlier, Philippe Moreillon
The Pearcey process is a universal point process in random matrix theory. In this paper, we study the generating function of the Pearcey process on any number of intervals. We…
The hard-to-soft edge transition: exponential moments, central limit theorems and rigidity
Christophe Charlier, Jonatan Lenells
The local eigenvalue statistics of large random matrices near a hard edge transitioning into a soft edge are described by the Bessel process associated with a large parameter .…
Long-time asymptotics for an integrable evolution equation with a Lax pair
Christophe Charlier, Jonatan Lenells
We derive a Riemann--Hilbert representation for the solution of an integrable nonlinear evolution equation with a Lax pair. We use the derived representation to obtain…
Gap probabilities in the bulk of the Airy process
Elliot Blackstone, Christophe Charlier, Jonatan Lenells
We consider the probability that no points lie on large intervals in the bulk of the Airy point process. We make a conjecture for all the terms in the asymptotics up to and inc…