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.
Logarithmic Sobolev Inequalities
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Recasting diffusion noise schedule design as optimal control on Fisher information yields sufficient conditions for O(d/n) sampling error and parametric closed-form schedules that generalize exponential/sigmoid ones and improve empirical performance.
Proves sharp Gaussian isoperimetric inequality for conjugate heat-kernel measures along Ricci flow via monotonicity formula, with consequences for concentration estimates, log-Sobolev inequalities, and related results.
citing papers explorer
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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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Noise Schedule Design for Diffusion Models: An Optimal Control Perspective
Recasting diffusion noise schedule design as optimal control on Fisher information yields sufficient conditions for O(d/n) sampling error and parametric closed-form schedules that generalize exponential/sigmoid ones and improve empirical performance.
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Sharp Gaussian Isoperimetry along a Ricci Flow
Proves sharp Gaussian isoperimetric inequality for conjugate heat-kernel measures along Ricci flow via monotonicity formula, with consequences for concentration estimates, log-Sobolev inequalities, and related results.