The entropy power conjecture implies the McKean conjecture
Information Theory
2024-08-27 v2 math.IT
Abstract
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.
Cite
@article{arxiv.2408.07275,
title = {The entropy power conjecture implies the McKean conjecture},
author = {Guillaume Wang},
journal= {arXiv preprint arXiv:2408.07275},
year = {2024}
}
Comments
3 pages. v2: cosmetic improvements