Functional Inequalities for the Wasserstein Dirichlet Form

DOI10.1007/978-3-0348-0021-1_16zbMath1257.58024OpenAlexW36513101MaRDI QIDQ2904881

Wilhelm Stannat

Publication date: 24 August 2012

Published in: Seminar on Stochastic Analysis, Random Fields and Applications VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0021-1_16

zbMATH Keywords

logarithmic Sobolev inequalityWasserstein diffusionreflecting lines diffusion

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes and stochastic analysis on manifolds (58J65) Spaces of measures, convergence of measures (28A33) Transition functions, generators and resolvents (60J35)

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Transportation cost inequalities for Wasserstein diffusions

Cites Work

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• The logarithmic Sobolev inequality for the Wasserstein diffusion
• Dirichlet forms and symmetric Markov processes
• On the validity of the log-Sobolev inequality for symmetric Fleming-Viot operators.
• Entropic measure and Wasserstein diffusion