Asymmetric covariance estimates of Brascamp-Lieb type and related inequalities for log-concave measures

DOI10.1214/11-AIHP462zbMath1270.26016arXiv1106.0709OpenAlexW2963893631MaRDI QIDQ1943317

Elliott H. Lieb, Eric Anders Carlen, Dario Cordero-Erausquin

Publication date: 19 March 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0709

zbMATH Keywords

convexityPoincaré inequalitylog-concavity

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

First-order covariance inequalities via Stein's method ⋮ On the isoperimetric constant, covariance inequalities and \(L_{p}\)-Poincaré inequalities in dimension one ⋮ Covariance representations, \(L^p\)-Poincaré inequalities, Stein's kernels, and high-dimensional CLTs ⋮ Isoperimetric Functional Inequalities via the Maximum Principle: The Exterior Differential Systems Approach ⋮ Log-concavity and strong log-concavity: a review ⋮ Analysis of the feedback particle filter with diffusion map based approximation of the gain ⋮ Intertwining relations for diffusions in manifolds and applications to functional inequalities ⋮ \(\Phi\)-entropy inequalities and asymmetric covariance estimates for convex measures

Cites Work

• Unnamed Item
• Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential
• A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
• A new criterion for the logarithmic Sobolev inequality and two applications
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• The log-Sobolev inequality for unbounded spin systems
• Isoperimetric and analytic inequalities for log-concave probability measures
• From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities
• On Berndtsson's generalization of Prékopa's theorem
• Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems
• Isoperimetric problems for convex bodies and a localization lemma
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Kahane‐Khinchine type inequalities for negative exponent

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