Central and L p -concentration of 1-Lipschitz maps into R-trees

Kei FUNANO

doi:10.2969/jmsj/06120483

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Home > Journals > J. Math. Soc. Japan > Volume 61 > Issue 2 > Article

April, 2009 Central and

L^{p}

-concentration of 1-Lipschitz maps into

\mbi{R}

-trees

Kei FUNANO

J. Math. Soc. Japan 61(2): 483-506 (April, 2009). DOI: 10.2969/jmsj/06120483

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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.

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Kei FUNANO. "Central and $L^{p}$ -concentration of 1-Lipschitz maps into $\mbi{R}$ -trees." J. Math. Soc. Japan 61 (2) 483 - 506, April, 2009. https://doi.org/10.2969/jmsj/06120483