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

Kei Funano

arxiv: 0801.1371 · v2 · submitted 2008-01-09 · 🧮 math.PR · math.MG

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

Kei Funano This is my paper

classification 🧮 math.PR math.MG

keywords concentrationmathbbtreeslipschitzmapsassertcentralequivalent

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

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