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

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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 languageEnglish
Pages (from-to)483-506
Number of pages24
JournalJournal of the Mathematical Society of Japan
Volume61
Issue number2
DOIs
Publication statusPublished - 2009 Apr

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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