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The details of proofs, together with examples illustrating the construction of the sophic shift for symbolic dynamics with misplaced partition, will be published in a future paper with explanation of nonmonotonicity of the topological entropy function by masking functions, issues of nonuniqueness of symbolic sequences, and many other details [E. M. Bollt, T. Stanford, Y.-C. Lai, and K. Życzkowski, United States Naval Academy report available at http://mathweb. mathsci.usna.edu/faculty/bolltem/ (to be published)].
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