12 citations · 82 across the 30 of their papers we have counts for
5 papers · 1 filter
Categorical products of cellular automata
Alonso Castillo-Ramirez, Alejandro Vazquez-Aceves, Angel Zaldivar-Corichi
We study two categories of cellular automata. First, for any group , we consider the category whose objects are configuration spaces of the form , where $…
Connections between the minimal neighborhood and the activity value of cellular automata
Alonso Castillo-Ramirez, Eduardo Veliz-Quintero
For a group and a finite set , a cellular automaton is a transformation of the configuration space defined via a finite neighborhood and a local map. Although neighbor…
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…
On the minimal memory set of cellular automata
Alonso Castillo-Ramirez, Eduardo Veliz-Quintero
For a group and a finite set , a cellular automaton (CA) is a transformation defined via a finite memory set and a local map .…
A study on the composition of elementary cellular automata
Alonso Castillo-Ramirez, Maria G. Magaña-Chavez
Elementary cellular automata (ECA) are one-dimensional discrete models of computation with a small memory set that have gained significant interest since the pioneer work of Stephe…