Deficit Estimates for the Logarithmic Sobolev Inequality
Analysis of PDEs
2018-05-17 v1 Probability
Abstract
We identify sharp spaces and prove quantitative and non-quantitative stability results for the logarithmic Sobolev inequality involving Wasserstein and metrics. The techniques are based on optimal transport theory and Fourier analysis. We also discuss a probabilistic approach.
Cite
@article{arxiv.1805.06107,
title = {Deficit Estimates for the Logarithmic Sobolev Inequality},
author = {Emanuel Indrei and Daesung Kim},
journal= {arXiv preprint arXiv:1805.06107},
year = {2018}
}
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24 pages