| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8899570 | Journal of Mathematical Analysis and Applications | 2018 | 13 Pages |
Abstract
In this paper, we study the distal and asymptotic sets of a given point in the β-transformation dynamical system, and prove that the Hausdorff dimension of the distal set of any given point is one and the Hausdorff dimension of the asymptotic set of any given point is zero.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qianqian Yang, Bing Li, Weibin Liu, Yi-Chiuan Chen,