%0 Journal Article
%T Dimension Reduction in $L_p$, $0<p<2$
%A Gideon Schechtman
%J Mathematics
%D 2011
%I arXiv
%X Complementing a recent observation of Newman and Rabinovich for $p=1$ we observe here that for all $0<p<2$ any $k$ points in $L_p$ embeds with distortion $(1+\e)$ into $\ell_p^n$ where $n$ is linear in $k$ (and polynomial in $\e^{-1}$).
%U http://arxiv.org/abs/1110.2148v1