Central and $L^p$-concentration of 1-Lipschitz maps into $\mathbb{R}$-trees
Probability
2008-02-13 v2 Metric Geometry
Abstract
In this paper, we study the L\'{e}vy-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.
Cite
@article{arxiv.0801.1371,
title = {Central and $L^p$-concentration of 1-Lipschitz maps into $\mathbb{R}$-trees},
author = {Kei Funano},
journal= {arXiv preprint arXiv:0801.1371},
year = {2008}
}
Comments
18pages