28 citations · 52 across the 4 of their papers we have counts for
4 papers
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…
Transitions between critical kernels: from the tacnode kernel and critical kernel in the two-matrix model to the Pearcey kernel
Dries Geudens, Lun Zhang
In this paper we study two multicritical correlation kernels and prove that they converge to the Pearcey kernel in a certain double scaling limit. The first kernel appears in a mod…
A critical phenomenon in the two-matrix model in the quartic/quadratic case
Maurice Duits, Dries Geudens
We study a critical behavior for the eigenvalue statistics in the two-matrix model in the quartic/quadratic case. For certain parameters, the eigenvalue distribution for one of the…
A vector equilibrium problem for the two-matrix model in the quartic/quadratic case
Maurice Duits, Dries Geudens, Arno B. J. Kuijlaars
We consider the two sequences of biorthogonal polynomials (p_{k,n})_k and (q_{k,n})_k related to the Hermitian two-matrix model with potentials V(x) = x^2/2 and W(y) = y^4/4 + ty^2…