Neighborhoods on the Grasmannian of marginals with bounded isotropic constant

Grigoris Paouris, Petros Valettas

We show that for any isotropic log-concave probability measure $\mu$ on ${\mathbb{R}}^n$, for every $\epsilon >0$, every $1\le k\le \sqrt{n}$ and any $E\in G_{n,k}$ there exist…