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Dimension Spectrum for Sofic Systems

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

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.

Suggested Citation

  • Jung-Chao Ban & Chih-Hung Chang & Ting-Ju Chen & Mei-Shao Lin, 2014. "Dimension Spectrum for Sofic Systems," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-11, March.
    • Handle: RePEc:hin:jnlamp:624523
    DOI: 10.1155/2014/624523
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