REAL

An infinite interval version of the α-Kakutani equidistribution problem

Pollicott, M. and Sewell, Benedict Adam (2023) An infinite interval version of the α-Kakutani equidistribution problem. ISRAEL JOURNAL OF MATHEMATICS. ISSN 0021-2172

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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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 03 Apr 2024 09:28
Last Modified: 03 Apr 2024 09:28
URI: https://real.mtak.hu/id/eprint/191458

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