Dimension Spectrum for Sofic Systems
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-coordina...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/624523 |
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| _version_ | 1832560843380752384 |
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| author | Jung-Chao Ban Chih-Hung Chang Ting-Ju Chen Mei-Shao Lin |
| author_facet | Jung-Chao Ban Chih-Hung Chang Ting-Ju Chen Mei-Shao Lin |
| author_sort | Jung-Chao Ban |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f0dbdb4555564fab8e121a7aa23fd0a5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-f0dbdb4555564fab8e121a7aa23fd0a52025-02-03T01:26:42ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/624523624523Dimension Spectrum for Sofic SystemsJung-Chao Ban0Chih-Hung Chang1Ting-Ju Chen2Mei-Shao Lin3Department of Applied Mathematics, National Dong Hwa University, Hualien 970003, TaiwanDepartment of Applied Mathematics, Feng Chia University, Taichung 40724, TaiwanDepartment of Applied Mathematics, National Dong Hwa University, Hualien 970003, TaiwanDepartment of Mathematics, National Central University, Chungli 32054, TaiwanWe 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.http://dx.doi.org/10.1155/2014/624523 |
| spellingShingle | Jung-Chao Ban Chih-Hung Chang Ting-Ju Chen Mei-Shao Lin Dimension Spectrum for Sofic Systems Advances in Mathematical Physics |
| title | Dimension Spectrum for Sofic Systems |
| title_full | Dimension Spectrum for Sofic Systems |
| title_fullStr | Dimension Spectrum for Sofic Systems |
| title_full_unstemmed | Dimension Spectrum for Sofic Systems |
| title_short | Dimension Spectrum for Sofic Systems |
| title_sort | dimension spectrum for sofic systems |
| url | http://dx.doi.org/10.1155/2014/624523 |
| work_keys_str_mv | AT jungchaoban dimensionspectrumforsoficsystems AT chihhungchang dimensionspectrumforsoficsystems AT tingjuchen dimensionspectrumforsoficsystems AT meishaolin dimensionspectrumforsoficsystems |