On the Measure Entropy of Additive Cellular Automata f∞
On the Measure Entropy of Additive Cellular Automata f∞
We show that for an additive one-dimensional cellular automata f∞ on space of all doubly infinitive sequences with values in a finite set S = {0, 1, 2, ..., r-1}, determined by an additive automaton rule [equation] (mod r), and a f∞-invariant uniform Bernoulli measure μ, the measure-theoretic entropy of …