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 [8].
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Partly supported by ERC-Advanced Grant 833802-Resonances and EPSRC grant EP/T001674/1.
Partly supported by the Alfréd Rényi Young Researcher fund.
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Pollicott, M., Sewell, B. An infinite interval version of the α-Kakutani equidistribution problem. Isr. J. Math. (2023). https://doi.org/10.1007/s11856-023-2569-6
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DOI: https://doi.org/10.1007/s11856-023-2569-6