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arXiv · 2103.10235

An infinite interval version of the α-Kakutani equidistribution problem

Mark Pollicott·Benedict Sewell
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Abstract

In this article we extend results of Kakutani, Adler-Flatto, Smilansky and others on the classical $α$-Kakutani equidistribution result for sequences arising from finite partitions of the interval. In particular, we describe a generalization of the equidistribution result to infinite partitions. In addition, we give discrepancy estimates, extending results of Drmota-Infusino.

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Mark Pollicott, Benedict Sewell. 2023-11-06. An infinite interval version of the α-Kakutani equidistribution problem. https://arxiv.org/abs/2103.10235

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