An explicit non-Gaussian probability measure on R makes the fifth time derivative of entropy positive along the heat flow, disproving the Gaussian completely monotone conjecture and related claims.
A short proof of the ``concavity of entropy power''
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Counterexample to the Gaussian Completely Monotone Conjecture
An explicit non-Gaussian probability measure on R makes the fifth time derivative of entropy positive along the heat flow, disproving the Gaussian completely monotone conjecture and related claims.