The entropy power conjecture implies the McKean conjecture

Published 24 Jul 2024 in cs.IT and math.IT | (2408.07275v2)

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.

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Guillaume Wang

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