A generalization of Kakutani's splitting procedure

Mathematics – Number Theory

Scientific paper

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14 pages, submitted

Scientific paper

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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