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.
The entropy power conjecture implies the McKean conjecture
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Entropy production for the Landau equation with Maxwell molecules is non-increasing after a finite time under moment and temperature-distribution conditions, partially resolving a 1966 conjecture.
A hexagonal perturbation on the triangular torus, wrapped in a Gaussian envelope, yields an explicit two-dimensional counterexample to log-convexity of Fisher information along the heat flow, disproving the Cheng-Geng conjecture for d greater than or equal to 2.
citing papers explorer
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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.
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On the monotonicity of the entropy production in the Landau-Maxwell equation
Entropy production for the Landau equation with Maxwell molecules is non-increasing after a finite time under moment and temperature-distribution conditions, partially resolving a 1966 conjecture.
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A Hexagonal Counterexample to Log-Convexity of Fisher Information Along the Heat Flow
A hexagonal perturbation on the triangular torus, wrapped in a Gaussian envelope, yields an explicit two-dimensional counterexample to log-convexity of Fisher information along the heat flow, disproving the Cheng-Geng conjecture for d greater than or equal to 2.