Ergodicity, transitivity, and regularity for linear cellular automata over \(\mathbb{Z}_m\)
The authors study finite-dimensional linear cellular automata over the integers modulo \(m\), from an ergodic-theoretic angle. They provide necessary and sufficient conditions for ergodicity and topological transitivity, and show that in the one-dimensional case, the denseness of periodic orbits is equivalent to surjectivity.
scientific article; zbMATH DE number 1495225
scientific article