TY - JOUR
T1 - The spatial entropy of two-dimensional subshifts of finite type
AU - Juang, Jonq
AU - Lin, Song Sun
AU - Shieh, Shih Feng
AU - Lin, Wen Wei
PY - 2000/12
Y1 - 2000/12
N2 - In this paper, two recursive formulas for computing the spatial entropy of two-dimensional subshifts of finite type are given. The exact entropy of a nontrivial example arising in cellular neural networks is obtained by using such formulas. We also establish some general theory concerning the spatial entropy of two-dimensional subshifts of finite type. In particular, we show that if either of the transition matrices is rank-one, then the associated exact entropy can be explicitly obtained. The generalization of our results to higher dimension can be similarly obtained. Furthermore, these formulas can be used numerically for estimating the spatial entropy.
AB - In this paper, two recursive formulas for computing the spatial entropy of two-dimensional subshifts of finite type are given. The exact entropy of a nontrivial example arising in cellular neural networks is obtained by using such formulas. We also establish some general theory concerning the spatial entropy of two-dimensional subshifts of finite type. In particular, we show that if either of the transition matrices is rank-one, then the associated exact entropy can be explicitly obtained. The generalization of our results to higher dimension can be similarly obtained. Furthermore, these formulas can be used numerically for estimating the spatial entropy.
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U2 - 10.1142/S0218127400001894
DO - 10.1142/S0218127400001894
M3 - Article
AN - SCOPUS:0034346774
SN - 0218-1274
VL - 10
SP - 2845
EP - 2852
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 12
ER -