Asymptotically Dense Dilations of Sets on the Circle

Daniel Berend, Yuval Peres, Yuval Peres

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Given an infinite closed subset A of the circle group T, we consider sequences of integers nj such that njA → T in the Hausdorff metric. We prove the existence of a sequence of squares possessing this property and also a sequence of density 1. Quantitative versions for finite A are established as well.

Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalJournal of the London Mathematical Society
Issue number1
StatePublished - 1 Jan 1993

ASJC Scopus subject areas

  • Mathematics (all)


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