Turkish Journal of Mathematics
DOI
10.3906/mat-1512-104
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
First Page
305
Last Page
311
Recommended Citation
MA, YANNI and HOU, BINGZHE
(2017)
"Topological entropies of a class of constrained systems,"
Turkish Journal of Mathematics: Vol. 41:
No.
2, Article 8.
https://doi.org/10.3906/mat-1512-104
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss2/8
