




Volume 35 • Number 1 • 2012 

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The MeasureTheoretic Entropy of Linear Cellular Automata with Respect to a Markov Measure
Hasan Akin
Abstract.
The purpose of this short paper is to compute the measuretheoretic entropy of the onedimensional 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 $\pi P=\pi$.
2010 Mathematics Subject Classification: Primary: 28D20; Secondary: 37A35, 37B40.
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