The entropy power conjecture implies the McKean conjecture
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909295653683200 |
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| author | Wang, Guillaume |
| author_facet | Wang, Guillaume |
| contents | After reviewing the entropy power, the McKean, and the Gaussian completely monotone conjectures, we prove that the first implies the second, for each order of the time-derivative. The proof is elementary and is based on manipulating the Bell polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07275 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The entropy power conjecture implies the McKean conjecture Wang, Guillaume Information Theory After reviewing the entropy power, the McKean, and the Gaussian completely monotone conjectures, we prove that the first implies the second, for each order of the time-derivative. The proof is elementary and is based on manipulating the Bell polynomials. |
| title | The entropy power conjecture implies the McKean conjecture |
| topic | Information Theory |
| url | https://arxiv.org/abs/2408.07275 |