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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| Summary: | 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. |
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| ISSN: | 1687-9120 1687-9139 |