Dimension-free Gaussian tail estimates for linear functionals on convex bodies

Brayden Letwin, Dan Mikulincer

Let $K\subset {\mathbb{R}}^n$ be a centered convex body of volume one. We prove that there exist absolute constants $c,C>0$ and an orthonormal set of vectors $\hat{I}˜\subset S^{n-1}$ w…