The sharp log Sobolev inequality on finite cycles
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911725483196416 |
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| author | Frank, Rupert L. Ivanisvili, Paata |
| author_facet | Frank, Rupert L. Ivanisvili, Paata |
| contents | We settle the problem of finding the sharp constant in the log Sobolev inequality on the $n$-cycle for all $n\ge 4$, by showing that it is equal to half of the spectral gap. We deduce this result from an optimal cubic Sobolev inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_29035 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The sharp log Sobolev inequality on finite cycles Frank, Rupert L. Ivanisvili, Paata Analysis of PDEs Classical Analysis and ODEs Functional Analysis We settle the problem of finding the sharp constant in the log Sobolev inequality on the $n$-cycle for all $n\ge 4$, by showing that it is equal to half of the spectral gap. We deduce this result from an optimal cubic Sobolev inequality. |
| title | The sharp log Sobolev inequality on finite cycles |
| topic | Analysis of PDEs Classical Analysis and ODEs Functional Analysis |
| url | https://arxiv.org/abs/2605.29035 |