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An infinite interval version of the α-Kakutani equidistribution problem (2103.10235v2)
Published 18 Mar 2021 in math.DS
Abstract: In this article we extend results of Kakutani, Adler-Flatto, Smilansky and others on the classical $\alpha$-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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