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

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

2008-01-09

arxiv.org/abs/0801.1371v2

Mathematics

Probability

18pages

Scientific paper

In this paper, we study the L\'{e}vy-Milman concentration phenomenon of
1-Lipschitz maps from mm-spaces to $\mathbb{R}$-trees. Our main theorems assert
that the concentration to $\mathbb{R}$-trees is equivalent to the concentration
to the real line.

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