From the 1 of 4 linked papers with an AI index.
4 papers
The pair correlation function of the Sine process
Shengqi Qiu, Yahui Qu, Lingfan Yuan +2
The paper derives an explicit formula for the pair correlation function of the Sine_6 process, expressing it in terms of Bessel functions of the first kind, extending known results…
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 wh…
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…
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…