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

Kei FUNANO
Source: J. Math. Soc. Japan Volume 61, Number 2 (2009), 483-506.

#### Abstract

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

First Page:
Primary Subjects: 53C23
Full-text: Open access

Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1242220719
Digital Object Identifier: doi:10.2969/jmsj/06120483
Zentralblatt MATH identifier: 05573647
Mathematical Reviews number (MathSciNet): MR2532898

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