paper

Central and -concentration of 1-Lipschitz maps into -trees

arXiv:0801.1371

Abstract

In this paper, we study the Lévy-Milman concentration phenomenon of 1-Lipschitz maps from mm-spaces to -trees. Our main theorems assert that the concentration to -trees is equivalent to the concentration to the real line.

18pages

Central and $L^p$-concentration of 1-Lipschitz maps into $\mathbb{R}$-trees · wovepaper