- Turkish Journal of Mathematics
- Vol: 41 Issue: 2
- Topological entropies of a class of constrained systems
Topological entropies of a class of constrained systems
Authors : Yanni Ma, Bingzhe Hou
Pages : 305-311
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Publication Date : 9999-12-31
Article Type : Makaleler
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, $C(p, \infty)=C(p+1, p+1)$ are the only equalities possible among the topological entropies of $(p,q)$-DUB systems.Keywords : Constrained systems, topological entropy, Shannon capacity, subshifts of finite type, order