English

A generalization of Kakutani's splitting procedure

Number Theory 2009-01-22 v1

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.

Cite

@article{arxiv.0901.3235,
  title  = {A generalization of Kakutani's splitting procedure},
  author = {Aljosa Volcic},
  journal= {arXiv preprint arXiv:0901.3235},
  year   = {2009}
}

Comments

14 pages, submitted

R2 v1 2026-06-21T12:03:10.564Z