Centered Sobolev inequality and exponential convergence in \(\Phi\)-entropy

DOI10.1016/J.SPL.2019.01.002zbMath1474.60042arXiv1703.00491OpenAlexW2963076766WikidataQ115566835 ScholiaQ115566835MaRDI QIDQ1726927

Xianqiang Yang

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00491

zbMATH Keywords

diffusion processexponential convergenceSobolev inequality\(\phi\)-entropy

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Diffusion processes (60J60)

Related Items (1)

Exponential convergence in the Wasserstein metric \(W_1\) for one dimensional diffusions

Cites Work

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• A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
• Sobolev inequalities and Myers's diameter theorem for an abstract Markov generator
• Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities
• Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
• Sobolev inequalities for probability measures on the real line
• On Choosing and Bounding Probability Metrics
• Analysis and Geometry of Markov Diffusion Operators
• The geometry of Markov diffusion generators

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