Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality
Analysis of PDEs
2017-04-04 v3 Probability
Abstract
We provide a full quantitative version of the Gaussian isoperimetric inequality. Our estimate is independent of the dimension, sharp on the decay rate with respect to the asymmetry and with optimal dependence on the mass.
Keywords
Cite
@article{arxiv.1409.2106,
title = {Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality},
author = {Marco Barchiesi and Alessio Brancolini and Vesa Julin},
journal= {arXiv preprint arXiv:1409.2106},
year = {2017}
}