Partition function for the 2d Coulomb gas on a Jordan curve
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917918029119488 |
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| author | Courteaut, Klara Johansson, Kurt |
| author_facet | Courteaut, Klara Johansson, Kurt |
| contents | We prove an asymptotic formula for the partition function of a 2d Coulomb gas at inverse temperature $β>0$ confined to lie on a Jordan curve. This also gives a central limit theorem for a linear statistic of the particles in the gas. We obtain different expressions for the asymptotic mean and variance which involve either the exterior conformal mapping of the curve or the Grunsky operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09726 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Partition function for the 2d Coulomb gas on a Jordan curve Courteaut, Klara Johansson, Kurt Probability Complex Variables 60K35, 60F05, 31A We prove an asymptotic formula for the partition function of a 2d Coulomb gas at inverse temperature $β>0$ confined to lie on a Jordan curve. This also gives a central limit theorem for a linear statistic of the particles in the gas. We obtain different expressions for the asymptotic mean and variance which involve either the exterior conformal mapping of the curve or the Grunsky operator. |
| title | Partition function for the 2d Coulomb gas on a Jordan curve |
| topic | Probability Complex Variables 60K35, 60F05, 31A |
| url | https://arxiv.org/abs/2304.09726 |