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April, 2009 Central and L p -concentration of 1-Lipschitz maps into R-trees
J. Math. Soc. Japan 61(2): 483-506 (April, 2009). DOI: 10.2969/jmsj/06120483


In this paper, we study the Lévy-Milman concentration phenomenon of 1-Lipschitz maps from mm-spaces to R-trees. Our main theorems assert that the concentration to 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 R-trees." J. Math. Soc. Japan 61 (2) 483 - 506, April, 2009.


Published: April, 2009
First available in Project Euclid: 13 May 2009

zbMATH: 1198.46021
MathSciNet: MR2532898
Digital Object Identifier: 10.2969/jmsj/06120483

Primary: 53C23

Keywords: $\mbi{R}$-tree , median , mm-space , observable $L^{p}$-variation , observable central radius , observable diameter

Rights: Copyright © 2009 Mathematical Society of Japan

Vol.61 • No. 2 • April, 2009
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