Concentration of 1-Lipschitz maps into an infinite dimensional ℓp-Ball with the ℓq-Distance function

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2 Citations (Scopus)


In this paper, we study the Levy-Milman concentration phenomenon of 1-Lipschitz maps into infinite dimensional metric spaces. Our main theorem asserts that the concentration to an infinite dimensional ℓp-ball with the ℓq-distance function for 1 ≤ p≤ q ≤ +∞ is equivalent to the concentration to the real line.

Original languageEnglish
Pages (from-to)2407-2417
Number of pages11
JournalProceedings of the American Mathematical Society
Issue number7
Publication statusPublished - 2009 Jul 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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