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arXiv · 2607.26223

The pair correlation function of the Sine$_6$ process

Shengqi Qiu·Yahui Qu·Lingfan Yuan·Benedek Valkó·Spencer Venancio
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Abstract

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 special function representation of the pair correlation function for the bulk limit of a beta-ensemble beyond the classical values of $\beta=1,2,$ and $4$.

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Shengqi Qiu, Yahui Qu, Lingfan Yuan, Benedek Valkó, Spencer Venancio. 2026-07-28. The pair correlation function of the Sine$_6$ process. https://arxiv.org/abs/2607.26223

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