Gaussian Completely Monotone Conjecture
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Statement
Along the heat flow, do the successive time derivatives of the entropy of alternate in sign, as conjectured by Cheng and Geng? An explicit measure on has a fifth derivative with the forbidden sign.
Context
also refutes the McKean and Toscani conjectures
Cheng-Geng 2015, a named conjecture in network information theory.
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The explicit counterexample measure was found by GPT-5.5 Pro.
also refutes the McKean and Toscani conjectures
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