 |
English
|
正體中文
|
简体中文
|
Post-Print筆數 : 27 |
Items with full text/Total items : 114898/145937 (79%)
Visitors : 53956681
Online Users : 308
|
|
|
Loading...
|
Please use this identifier to cite or link to this item:
https://nccur.lib.nccu.edu.tw/handle/140.119/139040
|
Title: | Characterization and Topological Behavior of Homomorphism Tree-Shifts |
Authors: | 班榮超 Ban, Jung-Chao Chang, Chih-Hung Hu, Wen-Guei Lai, Guan-Yu |
Contributors: | 應數系 |
Keywords: | Tree-SFT;Sofic tree-shift;Mixing property |
Date: | 2021-10 |
Issue Date: | 2022-02-10 14:57:57 (UTC+8) |
Abstract: | The purpose of this article is twofold. On one hand, we reveal the equivalence of shift of finite type between a one-sided shift X and its associated hom tree-shift TX, as well as the equivalence in the sofic shift. On the other hand, we investigate the interrelationship among the comparable mixing properties on tree-shifts as those on multidimensional shift spaces. They include irreducibility, topologically mixing, block gluing, and strong irreducibility, all of which are defined in the spirit of classical multidimensional shift, complete prefix code (CPC), and uniform CPC. In summary, the mixing properties defined in all three manners coincide for TX. Furthermore, an equivalence between irreducibility on TA and irreducibility on XA are seen, and so is one between topologically mixing on TA and mixing property on XA, where XA is the one-sided shift space induced by the matrix A and TA is the associated tree-shift. These equivalences are consistent with the mixing properties on X or XA when viewed as a degenerate tree-shift. |
Relation: | Topology and its Applications, Volume 302, 107848 |
Data Type: | article |
DOI 連結: | https://doi.org/10.1016/j.topol.2021.107848 |
DOI: | 10.1016/j.topol.2021.107848 |
Appears in Collections: | [應用數學系] 期刊論文
|
Files in This Item:
File |
Description |
Size | Format | |
355.pdf | | 547Kb | Adobe PDF2 | 290 | View/Open |
|
All items in 政大典藏 are protected by copyright, with all rights reserved.
|
著作權政策宣告 Copyright Announcement1.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.