1 citations · 2 across the 4 of their papers we have counts for
6 papers
Topological Dynamics of Pullback Maps on Full Shifts
Alonso Castillo-Ramirez, Luguis De Los Santos Baños
Let be a group, let be a finite alphabet, and let be an endomorphism. We study the topological dynamics of the pullback map , given by $ϕ^*(…
One-dimensional cellular automata with a unique active transition
Alonso Castillo-Ramirez, Maria G. Magaña-Chavez, Luguis de los Santos Baños
A one-dimensional cellular automaton is a transformation of the full shift defined via a finite neighborhood and a local f…
Further results on generalized cellular automata
Alonso Castillo-Ramirez, Luguis de los Santos Baños
Given a finite set and a group homomorphism , a -cellular automaton is a function that is continuous with respect to the prodiscrete…
Diameter mean equicontinuity and cellular automata
Luguis de los Santos Baños, Felipe García-Ramos
Mean and diam-mean equicontinuity are dynamical properties that have been of use in the study of non-periodic order. We show that the Pacman automaton is not almost diam-mean equic…
Local non-periodic order and diam-mean equicontinuity on cellular automata
Luguis de los Santos Baños, Felipe García-Ramos
Diam-mean equicontinuity is a dynamical property that has been of use in the study of non-periodic order. Using some type of "local" skew product between a shift and an odometer lo…
Mean equicontinuity and mean sensitivity on cellular automata
Luguis de los Santos Baños, Felipe García-Ramos
We show that a cellular automaton (or shift-endomorphism) on a transitive subshift is either almost equicontinuous or sensitive. On the other hand, we construct a cellular automato…