# A von Neumann theorem for uniformly distributed sequences of partitions

@article{Carbone2009AVN,
title={A von Neumann theorem for uniformly distributed sequences of partitions},
author={Ingrid Carbone and Aljo{\vs}a Vol{\vc}i{\vc}},
journal={Rendiconti del Circolo Matematico di Palermo},
year={2009},
volume={60},
pages={83-88}
}
• Published 16 January 2009
• Mathematics
• Rendiconti del Circolo Matematico di Palermo
In this paper we consider permutations of sequences of partitions, obtaining a result which parallels von Neumann’s theorem on permutations of dense sequences and uniformly distributed sequences of points.
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In this paper, we will study uniformly distributed sequences of partitions of [0, 1], a concept which has been introduced by Kakutani (Measure Theory 541:369–375, 1976). We will construct new

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