From Lyapunov Functions to Sobolev Inequalities

DOI10.1137/S0040585X97T987405zbMath1333.60020MaRDI QIDQ3462261

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Publication date: 5 January 2016

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

semigroupLyapunov functionsconvergence rate\(\Psi\)-Sobolev inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15)

Cites Work

• Unnamed Item
• Markov chains and stochastic stability
• Weak entropy inequalities and entropic convergence
• \(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case
• Algebraic convergence of Markov chains
• Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré
• Weak Poincaré inequalities, decay of Markov semigroups and concentration of measures
• Weak logarithmic Sobolev inequalities and entropic convergence
• Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups

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