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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.14487 |
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| _version_ | 1866909586012766208 |
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| author | Wang, Kai Xu, Mei |
| author_facet | Wang, Kai Xu, Mei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14487 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gaussian limit for Pfaffian point processes Wang, Kai Xu, Mei Probability 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. |
| title | Gaussian limit for Pfaffian point processes |
| topic | Probability |
| url | https://arxiv.org/abs/2504.14487 |