Weak Poincaré inequalities, decay of Markov semigroups and concentration of measures

DOI10.1007/s10114-004-0435-yzbMath1093.47512OpenAlexW2181286385MaRDI QIDQ2581227

Fengyu Wang, Qizhi Zhang

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0435-y

zbMATH Keywords

Markov semigroupweak Poincaré inequalityconcentration estimate

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Markov semigroups and applications to diffusion processes (47D07)

Related Items (2)

From Lyapunov Functions to Sobolev Inequalities ⋮ Weak entropy inequalities and entropic convergence

Cites Work

• Unnamed Item
• \(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case
• Herbst inequalities for supercontractive semigroups
• Logarithmic Sobolev inequalities and exponential integrability
• Explicit bounds of the first eigenvalue.
• Functional inequalities for the decay of sub-Markov semigroups
• Functional inequalities for empty essential spectrum
• Coupling, convergence rates of Markov processes and weak Poincaré inequalities
• Logarithmic Sobolev Inequalities
• Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds
• Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups

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