Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/133715
DC Field | Value | Language |
---|---|---|
dc.contributor | 應數系 | |
dc.creator | 班榮超 | |
dc.creator | Ban, Jung-Chao | |
dc.creator | Chang, Chih-Hung | |
dc.creator | Huang, Nai-Zhu | |
dc.date | 2020-06 | |
dc.date.accessioned | 2021-01-25T06:24:49Z | - |
dc.date.available | 2021-01-25T06:24:49Z | - |
dc.date.issued | 2021-01-25T06:24:49Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/133715 | - |
dc.description.abstract | We consider the entropy dimension of G-shifts of finite type for the case where G is a non-Abelian monoid. Entropy dimension tells us whether a shift space has zero topological entropy. Suppose the Cayley graph CG of G has a finite representation (that is, {CgG : g ∈ G} is a finite set up to graph isomorphism), and relations among generators of G are determined by a matrix A. We reveal an association between the characteristic polynomial of A and the finite representation of the Cayley graph. After introducing an algorithm for the computation of the entropy dimension, the set of entropy dimensions is related to a collection of matrices in which the sum of each row of every matrix is bounded by the number of leaves of the graph. Furthermore, the algorithm extends to G having finitely many free-followers. | |
dc.format.extent | 537070 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation | Journal of Mathematical Physics, 61, 072702 | |
dc.title | Entropy Dimension of Shift Spaces on Monoids | |
dc.type | article | |
dc.identifier.doi | 10.1063/1.5124073 | |
dc.doi.uri | https://doi.org/10.1063/1.5124073 | |
item.grantfulltext | restricted | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.fulltext | With Fulltext | - |
Appears in Collections: | 期刊論文 |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.