| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 2, April 2022
|
|
|---|---|---|
| Page(s) | 93 - 98 | |
| DOI | https://doi.org/10.1051/wujns/2022272093 | |
| Published online | 20 May 2022 | |
Mathematics
CLC number: O173
Some Metric Properties of Sets Related to Luroth Expansion
1
School of Mathematics and Statistics, Hubei University of Education, Wuhan
430205, Hubei, China
2
School of Mathematics and Statistics, Wuhan University, Wuhan
430072, Hubei, China
Received:
21
November
2021
This paper is mainly concerned with scrambled sets for Luroth map. It is shown that all scrambled sets have null Lebesgue measure and there exists a scrambled set with full Hausdorff dimension.
Key words: Luroth expansion / Hausdorff dimension / Li-Yorke chaotic
Biography: DENG Jiang, male, Master candidate, research direction: metric number theory. E-mail: stxydj@hue.edu.cn
Foundation item: Supported by the Excellent Young and Middle-Aged Science and Technology Innovation Team Project in Higher Education Institutions of Hubei Province (T201520)
© Wuhan University 2022
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