| $mathbb{Z}_+^k$-作用的方向原像熵 |
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| 引用本文： | 高亚楠,张子尧. $mathbb{Z}_+^k$-作用的方向原像熵[J]. 数学研究及应用, 2020, 40(1): 33-46 |
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| 作者姓名： | 高亚楠 张子尧 |
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| 作者单位： | 河北外国语学院国际语言教育学院, 河北 石家庄 050000,汉江师范学院数学与计算机科学学院, 湖北 十堰 442000 |
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| 摘 要： | In this paper,a new type of entropy,directional preimage entropy including topological and measure theoretic versions for■-actions,is introduced.Some of their properties including relationships and the invariance are obtained.Moreover,several systems including■-actions generated by the expanding maps,■-actions defined on finite graphs and some infinite graphs with zero directional preimage branch entropy are studied.
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| 关 键 词： | ■-actions directional preimage entropy infinite graph |
| 收稿时间： | 2018-11-12 |
| 修稿时间： | 2019-09-04 |
Directional Preimage Entropy for $mathbb{Z}_+^k$-Actions |
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| Ya-na GAO and Ziyao ZHANG. Directional Preimage Entropy for $mathbb{Z}_+^k$-Actions[J]. Journal of Mathematical Research with Applications, 2020, 40(1): 33-46 |
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| Authors: | Ya-na GAO and Ziyao ZHANG |
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| Affiliation: | Faculty of International Language Education, Hebei Foreign Studies University, Hebei 050000, P. R. China and College of Mathematics and Computer Science, Hanjiang Normal University, Hubei 442000, P. R. China |
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| Abstract: | In this paper, a new type of entropy, directional preimage entropy including topological and measure theoretic versions for $mathbb{Z}_{+}^k$-actions, is introduced. Some of their properties including relationships and the invariance are obtained. Moreover, several systems including $mathbb{Z}_{+}^k$-actions generated by the expanding maps, $mathbb{Z}_{+}^k$-actions defined on finite graphs and some infinite graphs with zero directional preimage branch entropy are studied. |
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| Keywords: | $mathbb{Z}_{+}^k$-actions directional preimage entropy infinite graph |
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