40 citations · 223 across the 39 of their papers we have counts for
8 papers · 1 filter
Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ
Christophe Charlier, Tom Claeys, Giulio Ruzza
We obtain uniform asymptotics for deformed Airy kernel determinants, which arise in models of finite temperature free fermions and which characterize the narrow wedge solution of t…
Large gap asymptotics on annuli in the random normal matrix model
Christophe Charlier
We consider a two-dimensional determinantal point process arising in the random normal matrix model and which is a two-parameter generalization of the complex Ginibre point process…
Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles
Christophe Charlier
We study the moment generating function of the disk counting statistics of a two-dimensional determinantal point process which generalizes the complex Ginibre point process. This m…
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 .…
Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities
Christophe Charlier
Muttalib-Borodin determinants are generalizations of Hankel determinants and depend on a parameter . In this paper, we obtain large asymptotics for Muttalib-B…
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…
The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem
Elliot Blackstone, Christophe Charlier, Jonatan Lenells
The Bessel process models the local eigenvalue statistics near of certain large positive definite matrices. In this work, we consider the probability \begin{align*} \mathbb{P}\…