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Gaussian limit for Pfaffian point processes

Probability 2025-04-22 v1

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 Sine4\mathrm{Sine_4} and Sine1\mathrm{Sine}_1 processes.

Keywords

Cite

@article{arxiv.2504.14487,
  title  = {Gaussian limit for Pfaffian point processes},
  author = {Kai Wang and Mei Xu},
  journal= {arXiv preprint arXiv:2504.14487},
  year   = {2025}
}
R2 v1 2026-06-28T23:04:33.205Z