An isoperimetric inequality on the ℓp balls

Sasha Sodin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The normalised volume measure on the ℓpn unit ball (1 ≤ p ≤ 2) satisfies the following isoperimetric inequality: the boundary measure of a set of measure a is at least cn1/pa log 1-1/p(1/a) , where a = min(a, 1 -a) .

Original languageEnglish
Pages (from-to)362-373
Number of pages12
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume44
Issue number2
DOIs
StatePublished - Apr 2008

Keywords

  • Isoperimetric inequalities
  • Volume measure

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