14 citations · 58 across the 16 of their papers we have counts for
17 papers
The hard edge tacnode process and the hard edge Pearcey process with non-intersecting squared Bessel paths
Steven Delvaux, Bálint Vető
A system of non-intersecting squared Bessel processes is considered which all start from one point and they all return to another point. Under the scaling of the starting and endin…
Universality and critical behavior in the chiral two-matrix model
Steven Delvaux, Dries Geudens, Lun Zhang
We study the chiral two-matrix model with polynomial potential functions and , which was introduced by Akemann, Damgaard, Osborn and Splittorff. We show that the squared sin…
The tacnode kernel: equality of Riemann-Hilbert and Airy resolvent formulas
Steven Delvaux
We study nonintersecting Brownian motions with two prescribed starting and ending positions, in the neighborhood of a tacnode in the time-space plane. Several expressions have been…
Non-intersecting squared Bessel paths at a hard-edge tacnode
Steven Delvaux
The squared Bessel process is a 1-dimensional diffusion process related to the squared norm of a higher dimensional Brownian motion. We study a model of non-intersecting square…
High order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets
Steven Delvaux, Abey López García
We study monic polynomials generated by a high order three-term recursion with arbitrary and for all . The rec…
A family of Nikishin systems with periodic recurrence coefficients
Steven Delvaux, Abey López García, Guillermo López Lagomasino
Suppose we have a Nikishin system of measures with the th generating measure of the Nikishin system supported on an interval $Δ_k\subset\er$ with …