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, issue 1

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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https://doi.org/10.1155/2014/624523

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:624523

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