Phi-entropy inequalities and Fokker-Planck equations

Details Phi-entropy inequalities and Fokker-Planck equations Phi-entropy inequalities and Fokker-Planck equations

2010-02-24

arxiv.org/abs/1002.4478v1

Journal de Math\'ematiques Pures et Appliqu\'es 93, 5 (2010) 449-473

Mathematics

Probability

Scientific paper

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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