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Topological entropies of a class of constrained systems

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In this paper, we consider a class of constrained systems named double upper bounds (p, q)-constrained systems ((p, q)-DUB systems in brief), which are one-dimensional subshifts of finite type. We… Click to show full abstract

In this paper, we consider a class of constrained systems named double upper bounds (p, q)-constrained systems ((p, q)-DUB systems in brief), which are one-dimensional subshifts of finite type. We determinate the topological entropies (Shannon capacities) C(p, q) of all (p, q)-DUB systems and consequently order all (p, q)-DUB systems according to the size of topological entropies. In particular, C(p,∞) = C(p + 1, p + 1) are the only equalities possible among the topological entropies of (p, q)-DUB systems.

Keywords: constrained systems; topological entropies; class constrained; entropies class; dub systems

Journal Title: Turkish Journal of Mathematics
Year Published: 2017

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