40 citations · 223 across the 39 of their papers we have counts for
6 papers · 1 filter
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…
Upper bounds for the maximum deviation of the Pearcey process
Christophe Charlier
The Pearcey process is a universal point process in random matrix theory and depends on a parameter . Let be the random variable that counts the number of p…
Matrix orthogonality in the plane versus scalar orthogonality in a Riemann surface
Christophe Charlier
We consider a non-Hermitian matrix orthogonality on a contour in the complex plane. Given a diagonalizable and rational matrix valued weight, we show that the Christoffel--Darboux…
Global rigidity and exponential moments for soft and hard edge point processes
Christophe Charlier, Tom Claeys
We establish sharp global rigidity upper bounds for universal determinantal point processes describing edge eigenvalues of random matrices. For this, we first obtain a general resu…
The "good" Boussinesq equation: a Riemann-Hilbert approach
Christophe Charlier, Jonatan Lenells
We develop an inverse scattering transform formalism for the "good" Boussinesq equation on the line. Assuming that the solution exists, we show that it can be expressed in terms of…
Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials
Christophe Charlier
We analyze a random lozenge tiling model of a large regular hexagon, whose underlying weight structure is periodic of period in both the horizontal and vertical directions. Thi…