%0 Journal Article
%T Neighborhoods on the Grasmannian of marginals with bounded isotropic constant
%A Grigoris Paouris
%A Petros Valettas
%J Mathematics
%D 2014
%I arXiv
%X We show that for any isotropic log-concave probability measure $\mu$ on $\mathbb R^n$, for every $\varepsilon > 0$, every $1 \leq k \leq \sqrt{n}$ and any $E \in G_{n,k}$ there exists $F \in G_{n,k}$ with $d(E,F) < \varepsilon$ and $L_{\pi_F\mu} < C/\varepsilon$.
%U http://arxiv.org/abs/1404.4988v1