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Remark on the stability of Log-Sobolev inequality for Gaussian measure

2015/06/30 by Filomena Feo, Feo, Filomena, Maria Rosaria Posteraro +3
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1506.08975

openalex publication_date 2015/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we bound the deficit in the logarithmic Sobolev Inequality and in the Talagrand transport-entropy Inequality for the Gaussian measure, in any dimension, by mean of a distance introduced by Bucur and Fragalà.

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