| 具有零拓扑熵的图映射的攀援集的测度 |
| |
| 引用本文： | 匡锐,梁先娟. 具有零拓扑熵的图映射的攀援集的测度[J]. 数学进展, 2021, 0(2): 315-319 |
| |
| 作者姓名： | 匡锐 梁先娟 |
| |
| 作者单位： | 华南理工大学数学学院;汕头大学数学系 |
| |
| 基金项目： | Supported by NSFC (Nos.11401220,11671094,11771264);NSF of Guangdong Province(Nos.2018B0303110005,2018B030306024)。 |
| |
| 摘 要： | 本文研究了具有零拓扑熵的图映射f的性质,证明了在任意有限f-不变的Borel 测度μ下,其攀援集的外μ-测度都是零.
|
| 关 键 词： | 图映射 混沌 攀援集 拓扑熵 不变测度 |
On the Measure of Scrambled Sets of Graph Maps with Zero Topological Entropy |
| |
| KUANG Rui,LIANG Xianjuan. On the Measure of Scrambled Sets of Graph Maps with Zero Topological Entropy[J]. Advances in Mathematics(China), 2021, 0(2): 315-319 |
| |
| Authors: | KUANG Rui LIANG Xianjuan |
| |
| Affiliation: | (School of Mathematics,South China University of Technology,Guangzhou,Guangdong,510641,P.R.China;Department of Mathematics,Shantou University,Shantou,Guangdong,515063,P.R.China) |
| |
| Abstract: | In this paper,it is shown that any scrambled set of a graph map f with zero topological entropy has zero outer μ-measure,where μ is any finite and f-invariant Borel measure. |
| |
| Keywords: | graph maps chaos scrambled sets topological entropy invariant measure |
| 本文献已被 维普 等数据库收录！ |
|
