Remarks on uniform recurrence properties for beta-transformation
Dynamical Systems
2025-12-03 v1 Number Theory
Abstract
We complement the recent paper of Zheng and Wu [Uniform recurrence properties for beta-transformation, Nonlinearity 33 (2020), 4590--4612], where the authors study, from the metrical point of view, the uniform recurrence properties of the orbit of a point under the -transformation to the point itself.
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Cite
@article{arxiv.2512.02620,
title = {Remarks on uniform recurrence properties for beta-transformation},
author = {Yann Bugeaud},
journal= {arXiv preprint arXiv:2512.02620},
year = {2025}
}
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8 pages