Central and LP-concentration of 1-lipschitz maps into R-trees

Kei Funano

doi:10.2969/jmsj/06120483

Central and L^P-concentration of 1-lipschitz maps into R-trees

Kei Funano

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	483-506
Number of pages	24
Journal	Journal of the Mathematical Society of Japan
Volume	61
Issue number	2
DOIs	https://doi.org/10.2969/jmsj/06120483
Publication status	Published - 2009 Apr

Keywords

Il-tree
MM-space
Median
Observable L-variation
Observable central radius
Observable diameter

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.2969/jmsj/06120483

Cite this

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title = "Central and LP-concentration of 1-lipschitz maps into R-trees",

abstract = "In this paper, we study the L{\'e}vy-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.",

keywords = "Il-tree, MM-space, Median, Observable L-variation, Observable central radius, Observable diameter",

author = "Kei Funano",

year = "2009",

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KW - MM-space

KW - Median

KW - Observable L-variation

KW - Observable central radius

KW - Observable diameter

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