Dimension Spectrum for Sofic Systems

Jung-Chao Ban, Chih-Hung Chang, Ting-Ju Chen and Mei-Shao Lin

Advances in Mathematical Physics, 2014, vol. 2014, 1-11

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:624523

DOI: 10.1155/2014/624523

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