Benedek Valk'o

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20232026

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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.PR2026

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 $n$ Laguerre beta-ensemble with parameter $a = a_{n}$ converges to the $Airy_{β}$ process as $n \to \infty$ whe…

The pair correlation function of the Sine6​ process

Soft edge limit of the Laguerre beta-ensemble at the lower edge

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