Daniel Berend

Senior Academic

Asymptotically Dense Dilations of Sets on the Circle

Daniel Berend, Yuval Peres, Yuval Peres

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.

Publication language English
Pages 1-17
Journal Journal of the London Mathematical Society
Volume s2-47
Issue number 1
Publication status Published - 01.01.1993

ASJC Scopus subject areas

General Mathematics
Access to Document
10.1112/jlms/s2-47.1.1
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Link to publication in Scopus