Stability and the equality case in the B-theorem
Metric Geometry
2023-05-30 v1 Functional Analysis
Probability
Abstract
In this paper, we show the stability, and characterize the equality cases in the strong B-inequality of Cordero-Erasquin, Fradelizi and Maurey \cite{B-conj}. As an application, we establish uniqueness of Bobkov's maximal Gaussian measure position from \cite{Bobkov-Mpos}.
Cite
@article{arxiv.2305.17794,
title = {Stability and the equality case in the B-theorem},
author = {Orli Herscovici and Galyna V. Livshyts and Liran Rotem and Alexander Volberg},
journal= {arXiv preprint arXiv:2305.17794},
year = {2023}
}