On Falconer's distance set conjecture

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions d ≥ 3.

Original languageEnglish (US)
Pages (from-to)649-662
Number of pages14
JournalRevista Matematica Iberoamericana
Volume22
Issue number2
DOIs
StatePublished - 2006

Keywords

  • Distance sets
  • Fourier restriction estimates
  • Frostman measures

ASJC Scopus subject areas

  • General Mathematics

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