Asymptotic behaviour of averages of k-dimensional marginals of measures on Rn
Asymptotic behaviour of averages of k-dimensional marginals of measures on Rn
We study the asymptotic behaviour, as $n\to\infty$, of the Lebesgue measure of the set $ \{x\in K: \vert P_E(x)\vert\le t\}$ for a random $k$-dimensional subspace $E\subset\mathbb R^n$ and an isotropic convex body $K\subset\mathbb R^n$. For $k$ growing s