2 papers
math.PR2026
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…
math.PR2025
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…