Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities
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Publication:1747752
DOI10.1214/17-AOP1184zbMath1426.60066arXiv1507.01086OpenAlexW2963901128MaRDI QIDQ1747752
François Bolley, Arnaud Guillin, Ivan Gentil
Publication date: 27 April 2018
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.01086
logarithmic Sobolev inequalityFokker-Planck equationsoptimal transportTalagrand inequalityBrascamp-Lieb inequality
Inequalities; stochastic orderings (60E15) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60)
Related Items (10)
Instability results for the logarithmic Sobolev inequality and its application to related inequalities ⋮ Concentration of information content for convex measures ⋮ Convexity and regularity properties for entropic interpolations ⋮ Optimal Concentration of Information Content for Log-Concave Densities ⋮ A sharp symmetrized form of Talagrand's transport-entropy inequality for the Gaussian measure ⋮ Dynamical aspects of the generalized Schrödinger problem via Otto calculus -- a heuristic point of view ⋮ Some remarks on the stability of the log-Sobolev inequality for the Gaussian measure ⋮ Intertwinings, second-order Brascamp–Lieb inequalities and spectral estimates ⋮ Intertwining relations for diffusions in manifolds and applications to functional inequalities ⋮ Asymptotics of smoothed Wasserstein distances
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