Subadditivity of the log-Sobolev constant on convolutions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915466108207104 |
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| author | Courtade, Thomas A. Wang, Edric |
| author_facet | Courtade, Thomas A. Wang, Edric |
| contents | We present a general subadditivity inequality for log-Sobolev constants of convolution measures. As a corollary, we show that the log-Sobolev constant is monotone along the sequence of standardized convolutions in the central limit theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19648 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Subadditivity of the log-Sobolev constant on convolutions Courtade, Thomas A. Wang, Edric Functional Analysis Information Theory Probability We present a general subadditivity inequality for log-Sobolev constants of convolution measures. As a corollary, we show that the log-Sobolev constant is monotone along the sequence of standardized convolutions in the central limit theorem. |
| title | Subadditivity of the log-Sobolev constant on convolutions |
| topic | Functional Analysis Information Theory Probability |
| url | https://arxiv.org/abs/2508.19648 |