An infinite interval version of the {\alpha}-Kakutani equidistribution problem
Dynamical Systems
2023-11-08 v2
Abstract
In this article we extend results of Kakutani, Adler-Flatto, Smilansky and others on the classical -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.
Keywords
Cite
@article{arxiv.2103.10235,
title = {An infinite interval version of the {\alpha}-Kakutani equidistribution problem},
author = {Mark Pollicott and Benedict Sewell},
journal= {arXiv preprint arXiv:2103.10235},
year = {2023}
}