Remarks on uniform recurrence properties for beta-transformation

Fuente: arXiv
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Autore principale: Bugeaud, Yann
Natura: Preprint
Pubblicazione: 2025
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author Bugeaud, Yann
author_facet Bugeaud, Yann
contents 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 $β$-transformation to the point itself.
format Preprint
id arxiv_https___arxiv_org_abs_2512_02620
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Remarks on uniform recurrence properties for beta-transformation
Bugeaud, Yann
Dynamical Systems
Number Theory
37A45, 11J82, 37B20
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 $β$-transformation to the point itself.
title Remarks on uniform recurrence properties for beta-transformation
topic Dynamical Systems
Number Theory
37A45, 11J82, 37B20
url https://arxiv.org/abs/2512.02620