 Almost-isometric Gaussian embedding from l2 into l1

Let $Z_{ij}$ be independent standard Gaussian random variables, let $\beta =\mathbb{E}|Z_{ij}|=\sqrt{2/\pi }$, and let $0<\delta <1$. For a fixed nonzero vector $x\in {\mathbb{R}}^n$, the random matrixsatisfiesA net argument shows that $k\ge C_{\epsilon }n$ permits a linear embedding of distortion below $1+\epsilon$.