Yahui Qu

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math.PR2026

The pair correlation function of the Sine $_{6}$ process

Shengqi Qiu, Yahui Qu, Lingfan Yuan +2

We derive an explicit formula for the pair correlation function of the Sine $_{6}$ 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 $_{β}$ process

Yahui Qu, Benedek Valkó

We study the Sine $_{β}$ process, the bulk point process scaling limit of beta-ensembles. We provide a representation of its pair correlation function for all $β > 0$ via a stochastic d…

The pair correlation function of the Sine6​ process

On the pair correlation function of the Sineβ​ process

The pair correlation function of the Sine $_{6}$ process

On the pair correlation function of the Sine $_{β}$ process