Linear cellular automata over \(Z_ m\)
The authors consider d-dimensional cellular automata with local transition functions \(\sigma (x_ 1,...,x_ n)=a_ 1x_ 1+...+a_ nx_ n (mod m)\). They find criteria involving prime factorizations of m, \(a_ 1,...,a_ n\) for properties of global transition functions such as surjectivity, injectivity and reappearance of patterns.
properties of global transition functions
scientific article; zbMATH DE number 3903973
scientific article