Deficit Estimates for the Logarithmic Sobolev Inequality
classification
🧮 math.AP
math.PR
keywords
inequalitylogarithmicsobolevanalysisapproachdeficitdiscussestimates
read the original abstract
We identify sharp spaces and prove quantitative and non-quantitative stability results for the logarithmic Sobolev inequality involving Wasserstein and $L^p$ metrics. The techniques are based on optimal transport theory and Fourier analysis. We also discuss a probabilistic approach.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.