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cs.IT2024
The entropy power conjecture implies the McKean conjecture
Guillaume Wang
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.…
cs.IT2024★ 1 cited
A higher-order Otto calculus approach to the Gaussian completely monotone conjecture
Guillaume Wang
The Gaussian completely monotone (GCM) conjecture states that the -th time-derivative of the entropy along the heat flow on is positive for even and negative…