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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa165-4-3, author = {Ladislav Mi\v s\'\i k}, title = {On limit points of subsequences of uniformly distributed sequences}, journal = {Acta Arithmetica}, volume = {166}, year = {2014}, pages = {333-338}, zbl = {1307.11084}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa165-4-3} }
Ladislav Mišík. On limit points of subsequences of uniformly distributed sequences. Acta Arithmetica, Tome 166 (2014) pp. 333-338. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa165-4-3/