Dimension Spectrum for Sofic Systems | Zendy

Jung-Chao Ban | Zendy; Chih-Hung Chang | Zendy; Ting-Ju Chen | Zendy; Mei-Shao Lin | Zendy

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Dimension Spectrum for Sofic Systems

Author(s) -

Jung-Chao Ban,

Chih-Hung Chang,

Ting-Ju Chen,

Mei-Shao Lin

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/624523

Subject(s) - mathematics , dimension (graph theory) , spectrum (functional analysis) , bernoulli's principle , affine transformation , pure mathematics , matrix (chemical analysis) , entropy (arrow of time) , physics , materials science , quantum mechanics , engineering , composite material , aerospace engineering

We study the dimension spectrum of sofic system with the potential functions beingmatrix valued. For finite-coordinate dependent positive matrixpotential, we set up the entropy spectrum by constructing the quasi-Bernoullimeasure and the cut-off method is applied to deal with the infinite-coordinatedependent case. We extend this method to nonnegative matrix and give a series ofexamples of the sofic-affine set on which we can compute the spectrum concretely

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