Gaussian Completely Monotone Conjecture
Prior state unknown→disproved
also refutes the McKean and Toscani conjectures
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probability-statistics / Entropy & heat flow
Gaussian Completely Monotone Conjecture
Along the heat flow, do the successive time derivatives of the entropy of $X + \sqrt{t}\,Z$ alternate in sign, as conjectured by Cheng and Geng? An explicit measure on $\mathbb{R}$ has a fifth derivative with the forbidden sign.
15Significance / 100
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Along the heat flow, do the successive time derivatives of the entropy of $X + \sqrt{t}\,Z$ alternate in sign, as conjectured by Cheng and Geng? An explicit measure on $\mathbb{R}$ has a fifth derivative with the forbidden sign.
also refutes the McKean and Toscani conjectures
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