政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/129989

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | 全文笔数/总笔数 : 113873/144892 (79%)
造访人次 : 51903783 在线人数 : 499

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/129989

请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/129989

题名:	Tree-shifts: Irreducibility, mixing, and the chaos of tree-shifts
作者:	班榮超 Ban, Jung-Chao Chang, Chih-Hung
贡献者:	應數系
日期:	2017-05
上传时间:	2020-05-27 09:03:03 (UTC+8)
摘要:	Topological behavior, such as chaos, irreducibility, and mixing of a one-sided shift of finite type, is well elucidated. Meanwhile, the investigation of multidimensional shifts, for instance, textile systems, is difficult and only a few results have been obtained so far. This paper studies shifts defined on infinite trees, which are called tree-shifts. Infinite trees have a natural structure of one-sided symbolic dynamical systems equipped with multiple shift maps and constitute an intermediate class between one-sided shifts and multidimensional shifts. We have shown not only an irreducible tree-shift of finite type but also a mixing tree-shift that is chaotic in the sense of Devaney. Furthermore, the graph and labeled graph representations of tree-shifts are revealed so that the verification of irreducibility and mixing of a tree-shift is equivalent to determining the irreducibility and mixing of matrices, respectively. This extends the classical results of one-sided symbolic dynamics. A necessary and sufficient condition for the irreducibility and mixing of tree-shifts of finite type is demonstrated. Most important of all, the examination can be done in finite steps with an upper bound.
關聯:	Transactions of the American Mathematical Society, Vol.369, No.12, pp.8389-8407
数据类型:	article
DOI 連結:	https://doi.org/10.1090/tran/6906
DOI:	10.1090/tran/6906
显示于类别:	[應用數學系] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
445.pdf		243Kb	Adobe PDF2	242	检视/开启

在政大典藏中所有的数据项都受到原著作权保护.

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

数据加载中.....