28 citations · 52 across the 4 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2013★ 6 cited
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…
math-ph2012★ 6 cited
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…
math-ph2011★ 12 cited
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…