Akin, Hasan The measure-theoretic entropy of linear cellular automata with respect to a Markov measure. (English) Zbl 1232.28017 Bull. Malays. Math. Sci. Soc. (2) 35, No. 1, 171-178 (2012). Summary: The purpose of this short paper is to compute the measure-theoretic entropy of the one-dimensional linear cellular automata defined by bipermutative local rules on the ring \(\mathbb Z_m, m \geq 2\), with respect to a Markov measure generated by a stochastic matrix \(P\) and a probability vector \(\pi \) such that \(\pi P = \pi \). Cited in 2 Documents MSC: 28D20 Entropy and other invariants 37A35 Entropy and other invariants, isomorphism, classification in ergodic theory 37B40 Topological entropy Keywords:cellular automata; measure entropy; Markov measure PDFBibTeX XMLCite \textit{H. Akin}, Bull. Malays. Math. Sci. Soc. (2) 35, No. 1, 171--178 (2012; Zbl 1232.28017) Full Text: arXiv Link