A functional Breuer-Major theorem with Poisson noise
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911240469610496 |
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| author | Kong, Fanhao Wang, Haiyi |
| author_facet | Kong, Fanhao Wang, Haiyi |
| contents | We extend the functional Breuer-Major theorem for Gaussians to the Poisson case, where the stationary sequence arises from a Poisson point process. We use the $L^p$ spectral gap inequality of Poisson point process as a tool to prove tightness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26216 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A functional Breuer-Major theorem with Poisson noise Kong, Fanhao Wang, Haiyi Probability We extend the functional Breuer-Major theorem for Gaussians to the Poisson case, where the stationary sequence arises from a Poisson point process. We use the $L^p$ spectral gap inequality of Poisson point process as a tool to prove tightness. |
| title | A functional Breuer-Major theorem with Poisson noise |
| topic | Probability |
| url | https://arxiv.org/abs/2510.26216 |