We introduce the classes of color blind and typhlotic cellular automata, that is, cellular
automata that commute with all symbol permutations and all symbol map**s, respectively …

An avoshift is a subshift where for each set $ C $ from a suitable family of subsets of the shift
group, the set of all possible valid extensions of a globally valid pattern on $ C $ to the …

An avoshift is a subshift where for each set C from a suitable family of subsets of the shift
group, the set of all possible valid extensions of a globally valid pattern on C to the identity …

We study internal Lie algebras in the category of subshifts on a fixed group--or Lie algebraic
subshifts for short. We show that if the acting group is virtually polycyclic and the underlying …

Let G be a group and A a set equipped with a collection of finitary operations. We study
cellular automata that preserve the operations AG of induced componentwise from the …

We prove that every permutation of a Cartesian product of two finite sets can be written as a
composition of three permutations, the first of which only modifies the left projection, the …