On limit points of subsequences of uniformly distributed sequences
Volume 165 / 2014
Acta Arithmetica 165 (2014), 333-338
MSC: Primary 11J71; Secondary 11B05.
DOI: 10.4064/aa165-4-3
Abstract
Given a subsequence of a uniformly distributed sequence, relations between the asymptotic densities of sets of its indices and the Lebesgue measure of the set of all its limit points are studied.