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arXiv:0801.1371 [math.PR]AbstractReferencesReviewsResources

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

Kei Funano

Published 2008-01-09, updated 2008-02-13Version 2

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.

Comments: 18pages
Categories: math.PR, math.MG
Subjects: 53C21, 53C23
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