Linear statistics of determinantal point processes and norm representations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929548013076480 |
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| author | Levi, Matteo Marzo, Jordi Ortega-Cerdà, Joaquim |
| author_facet | Levi, Matteo Marzo, Jordi Ortega-Cerdà, Joaquim |
| contents | We study the asymptotic behavior of the fluctuations of smooth and rough linear statistics for determinantal point processes on the sphere and on the Euclidean space. The main tool is the generalization of some norm representation results for functions in Sobolev spaces and in the space of functions of bounded variation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_03204 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Linear statistics of determinantal point processes and norm representations Levi, Matteo Marzo, Jordi Ortega-Cerdà, Joaquim Classical Analysis and ODEs Probability We study the asymptotic behavior of the fluctuations of smooth and rough linear statistics for determinantal point processes on the sphere and on the Euclidean space. The main tool is the generalization of some norm representation results for functions in Sobolev spaces and in the space of functions of bounded variation. |
| title | Linear statistics of determinantal point processes and norm representations |
| topic | Classical Analysis and ODEs Probability |
| url | https://arxiv.org/abs/2311.03204 |