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arXiv · 2504.14487

Gaussian limit for Pfaffian point processes

Kai Wang·Mei Xu
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Abstract

We prove a central limit theorem for linear statistics of a broad class of Pfaffian point processes. As an application, we derive Gaussian limits for scaled linear statistics of step functions in the Pfaffian $\mathrm{Sine_4}$ and $\mathrm{Sine}_1$ processes.

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Kai Wang, Mei Xu. 2025-04-20. Gaussian limit for Pfaffian point processes. https://arxiv.org/abs/2504.14487

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