Dimension Spectrum for Sofic Systems
2014
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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