A generalization of Kakutani's splitting procedure

2009/01/21 by Aljosa Volcic, Volcic, Aljosa
Mathematics · #28D05 (Primary) 60B10 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:28D05 #msc:60B10

paper · pdf · doi:10.48550/arxiv.0901.3235

14 pages, submitted

arxiv created 2009/01/21 · arxiv updated 2009/12/01

Abstract

In this paper we will study uniformly distributed sequences of partitions of [0,1], a concept which has been introduced by Kakutani in 1976. We will construct new families of u.d. sequences of partitions and study relations with the classical concept of uniformly distributed sequences of points.

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