A general two-scale criteria for logarithmic Sobolev inequalities

DOI10.1016/j.jfa.2008.09.019zbMath1170.60012OpenAlexW1985927261MaRDI QIDQ1017706

Tony Lelièvre

Publication date: 12 May 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.09.019

zbMATH Keywords

logarithmic Sobolev inequalitytwo-scale criteria

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (8)

Pathwise estimates for an effective dynamics ⋮ Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions ⋮ Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics ⋮ Analysis of an adaptive biasing force method based on self-interacting dynamics ⋮ Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape ⋮ Partial differential equations and stochastic methods in molecular dynamics ⋮ Long-time convergence of an adaptive biasing force method: the bi-channel case ⋮ Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias

Cites Work

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• A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
• A new criterion for the logarithmic Sobolev inequality and two applications
• Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
• Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
• Long-time convergence of an adaptive biasing force method
• Effective dynamics using conditional expectations

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