Law of large numbers for the maximum of the two-dimensional Coulomb gas potential
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916122793607168 |
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| author | Lambert, Gaultier Leblé, Thomas Zeitouni, Ofer |
| author_facet | Lambert, Gaultier Leblé, Thomas Zeitouni, Ofer |
| contents | We derive the leading order asymptotics of the logarithmic potential of a two dimensional Coulomb gas at arbitrary positive temperature. The proof is based on precise evaluation of exponential moments, and the theory of Gaussian multiplicative chaos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_09912 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Law of large numbers for the maximum of the two-dimensional Coulomb gas potential Lambert, Gaultier Leblé, Thomas Zeitouni, Ofer Probability Mathematical Physics We derive the leading order asymptotics of the logarithmic potential of a two dimensional Coulomb gas at arbitrary positive temperature. The proof is based on precise evaluation of exponential moments, and the theory of Gaussian multiplicative chaos. |
| title | Law of large numbers for the maximum of the two-dimensional Coulomb gas potential |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2303.09912 |