Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/133716
DC Field | Value | Language |
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dc.contributor | 應數系 | |
dc.creator | 班榮超 | |
dc.creator | Ban, Jung-Chao | |
dc.creator | Chang, Chih-Hung | |
dc.date | 2020-06 | |
dc.date.accessioned | 2021-01-25T06:25:09Z | - |
dc.date.available | 2021-01-25T06:25:09Z | - |
dc.date.issued | 2021-01-25T06:25:09Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/133716 | - |
dc.description.abstract | This paper considers the topological degree of G-shifts of finite type for the case where G is a finitely generated free group. Topological degree is the logarithm of entropy dimension; that is, topological degree is a characterization for zero entropy systems. Following the conjugacy-invariance of topological degree, we show that it is equivalent to solving a system of nonlinear recurrence equations. More explicitly, the topological degree of G-shift of finite type is achieved as the maximal spectral radius of a collection of matrices corresponding to the shift itself. | |
dc.format.extent | 280522 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation | AIMS Mathematics, 2020, Volume 5, Issue 5, 5121-5139 | |
dc.subject | topological degree;entropy dimension;free group;finitely generated group;Cayley graph;conjugacy-invariant | |
dc.title | Entropy Dimension of Shifts of Finite Type on Free Groups | |
dc.type | article | |
dc.identifier.doi | 10.3934/math.2020329 | |
dc.doi.uri | https://doi.org/10.3934/math.2020329 | |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | restricted | - |
Appears in Collections: | 期刊論文 |
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