On the Maximal Gaussian Perimeter of Convex Sets, Revisited
Probability
2025-08-28 v1 Metric Geometry
Abstract
We revisit Nazarov's construction of a convex set with nearly maximal Gaussian surface area and give an alternate analysis based on the notion of convex influence.
Cite
@article{arxiv.2508.20079,
title = {On the Maximal Gaussian Perimeter of Convex Sets, Revisited},
author = {Shivam Nadimpalli and Caleb Pascale},
journal= {arXiv preprint arXiv:2508.20079},
year = {2025}
}
Comments
11 pages, comments welcome