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math.DS2009★ 2 cited
Some Ergodic Properties of Invertible Cellular Automata
Hasan Akin
In this paper we consider invertible one-dimensional linear cellular automata (CA hereafter) defined on a finite alphabet of cardinality , i.e. the maps $T_{f[l,r]}:\mathbb{Z}…
math.DS2006
The Measure-Theoretical Entropy of a Linear Cellular Automata with respect to a Markov Measure
Hasan Akin
In this paper we study the measure-theoretical entropy of the one-dimensional linear cellular automata (CA hereafter) , generated by local rule $f(x_{-l},...,x_{r})= \…