4 papers
The pair correlation function of the Sine process
Shengqi Qiu, Yahui Qu, Lingfan Yuan +2
We derive an explicit formula for the pair correlation function of the Sine process in terms of Bessel functions of the first kind. This provides the first single-variable spec…
Soft edge limit of the Laguerre beta-ensemble at the lower edge
Yun Li, Benedek Valkó, Jiaming Xu
We show that the lower edge of the appropriately scaled size Laguerre beta-ensemble with parameter converges to the process as whe…
On the pair correlation function of the Sine process
Yahui Qu, Benedek Valkó
We study the Sine process, the bulk point process scaling limit of beta-ensembles. We provide a representation of its pair correlation function for all via a stochastic d…
Solvable Families of Random Block Tridiagonal Matrices
Brian Rider, Benedek Valkó
We introduce two families of random tridiagonal block matrices for which the joint eigenvalue distributions can be computed explicitly. These distributions are novel within random…