Phi-entropy inequalities for diffusion semigroups

DOI10.1016/j.matpur.2010.02.004zbMath1193.47046arXiv0812.0800OpenAlexW2135177479MaRDI QIDQ968870

Ivan Gentil, François Bolley

Publication date: 10 May 2010

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.0800

zbMATH Keywords

entropy inequalityFokker-Planck equationlogarithmic Sobolev inequalityPoincaré inequalitydiffusion semigroup

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Transition functions, generators and resolvents (60J35)

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Cites Work

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• ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
• A Generalized Poincare Inequality for Gaussian Measures
• Logarithmic Sobolev Inequalities
• Logarithmic Sobolev inequalities for inhomogeneous Markov Semigroups
• Binomial-Poisson entropic inequalities and the M/M/∞queue
• The geometry of Markov diffusion generators

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