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

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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
Volume137
Issue number7
DOIs
Publication statusPublished - 2009 Jul 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Concentration of 1-Lipschitz maps into an infinite dimensional ℓ<sup>p</sup>-Ball with the ℓ<sup>q</sup>-Distance function'. Together they form a unique fingerprint.

Cite this