A simple bound on fluctuations in the 3D Coulomb gas
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915588309254144 |
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| author | Cohen, Alex Hernández, Felipe |
| author_facet | Cohen, Alex Hernández, Felipe |
| contents | The Coulomb gas models an interacting system of $N$ negatively charged particles. We give a new proof that, at sufficiently low temperature, smooth linear statistics $\sum_j φ(x_j)$ are bounded by $C N^{1-2/d}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27129 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A simple bound on fluctuations in the 3D Coulomb gas Cohen, Alex Hernández, Felipe Mathematical Physics Probability The Coulomb gas models an interacting system of $N$ negatively charged particles. We give a new proof that, at sufficiently low temperature, smooth linear statistics $\sum_j φ(x_j)$ are bounded by $C N^{1-2/d}$. |
| title | A simple bound on fluctuations in the 3D Coulomb gas |
| topic | Mathematical Physics Probability |
| url | https://arxiv.org/abs/2510.27129 |