 |
English
|
正體中文
|
简体中文
|
Post-Print筆數 : 27 |
全文筆數/總筆數 : 114989/146039 (79%)
造訪人次 : 54063051
線上人數 : 2
|
|
|
資料載入中.....
|
請使用永久網址來引用或連結此文件:
https://nccur.lib.nccu.edu.tw/handle/140.119/139040
|
題名: | Characterization and Topological Behavior of Homomorphism Tree-Shifts |
作者: | 班榮超 Ban, Jung-Chao Chang, Chih-Hung Hu, Wen-Guei Lai, Guan-Yu |
貢獻者: | 應數系 |
關鍵詞: | Tree-SFT;Sofic tree-shift;Mixing property |
日期: | 2021-10 |
上傳時間: | 2022-02-10 14:57:57 (UTC+8) |
摘要: | 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. |
關聯: | Topology and its Applications, Volume 302, 107848 |
資料類型: | article |
DOI 連結: | https://doi.org/10.1016/j.topol.2021.107848 |
DOI: | 10.1016/j.topol.2021.107848 |
顯示於類別: | [應用數學系] 期刊論文
|
文件中的檔案:
檔案 |
描述 |
大小 | 格式 | 瀏覽次數 |
355.pdf | | 547Kb | Adobe PDF2 | 294 | 檢視/開啟 |
|
在政大典藏中所有的資料項目都受到原著作權保護.
|
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.