Phi-entropy inequalities and Fokker-Planck equations
classification
🧮 math.PR
keywords
equationsfokker-planckinequalitiesapplicationsbehaviourcriterioncurvature-dimensiondiffusion
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We present new $\Phi$-entropy inequalities for diffusion semigroups under the curvature-dimension criterion. They include the isoperimetric function of the Gaussian measure. Applications to the long time behaviour of solutions to Fokker-Planck equations are given.
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