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題名 Dimension spectrum for sofic systems
作者 班榮超
Ban, Jung-Chao
Chang, Chih-Hung
Lin, Mei-Shao
Chen, Ting-Ju
貢獻者 應數系
日期 2014-05
上傳時間 28-四月-2020 13:54:48 (UTC+8)
摘要 We study the dimension spectrum of sofic system with the potential functions being matrix valued. For finite-coordinate dependent positive matrix potential, we set up the entropy spectrum by constructing the quasi-Bernoulli measure and the cut-off method is applied to deal with the infinite-coordinate dependent case. We extend this method to nonnegative matrix and give a series of examples of the sofic-affine set on which we can compute the spectrum concretely.
關聯 Advances in Mathematical Physics, Vol.2014, pp.1-11
資料類型 article
DOI https://doi.org/10.1155/2014/624523
dc.contributor 應數系
dc.creator (作者) 班榮超
dc.creator (作者) Ban, Jung-Chao
dc.creator (作者) Chang, Chih-Hung
dc.creator (作者) Lin, Mei-Shao
dc.creator (作者) Chen, Ting-Ju
dc.date (日期) 2014-05
dc.date.accessioned 28-四月-2020 13:54:48 (UTC+8)-
dc.date.available 28-四月-2020 13:54:48 (UTC+8)-
dc.date.issued (上傳時間) 28-四月-2020 13:54:48 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/129556-
dc.description.abstract (摘要) We study the dimension spectrum of sofic system with the potential functions being matrix valued. For finite-coordinate dependent positive matrix potential, we set up the entropy spectrum by constructing the quasi-Bernoulli measure and the cut-off method is applied to deal with the infinite-coordinate dependent case. We extend this method to nonnegative matrix and give a series of examples of the sofic-affine set on which we can compute the spectrum concretely.
dc.format.extent 2723775 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Advances in Mathematical Physics, Vol.2014, pp.1-11
dc.title (題名) Dimension spectrum for sofic systems
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1155/2014/624523
dc.doi.uri (DOI) https://doi.org/10.1155/2014/624523