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arXiv · 1404.4988

Neighborhoods on the Grasmannian of marginals with bounded isotropic constant

Grigoris Paouris·Petros Valettas
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Abstract

We show that for any isotropic log-concave probability measure $μ$ 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 $L_{π_Fμ} < C/\varepsilon$.

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Grigoris Paouris, Petros Valettas. 2014-04-19. Neighborhoods on the Grasmannian of marginals with bounded isotropic constant. https://arxiv.org/abs/1404.4988

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