Maximal Surface Area of a convex set in ${\mathbb{R}}^n$ with respect to log concave rotation invariant measures

Galyna Livshyts

It was shown by K. Ball and F. Nazarov, that the maximal surface area of a convex set in ${\mathbb{R}}^n$ with respect to the Standard Gaussian measure is of order $n^{\frac{1}{4}}$.…