Eduardo Veliz-Quintero

collaborators

3 papers

nlin.CG2025

Connections between the minimal neighborhood and the activity value of cellular automata

Alonso Castillo-Ramirez, Eduardo Veliz-Quintero

For a group $G$ and a finite set $A$ , a cellular automaton is a transformation of the configuration space $A^{G}$ defined via a finite neighborhood and a local map. Although neighbor…

math.GR2024

Idempotent cellular automata and their natural order

Alonso Castillo-Ramirez, Maria G. MagaÃ±a-Chavez, Eduardo Veliz-Quintero

Motivated by the search for idempotent cellular automata (CA), we study CA that act almost as the identity unless they read a fixed pattern $p$ . We show that constant and symmetric…

nlin.CG2024

On the minimal memory set of cellular automata

Alonso Castillo-Ramirez, Eduardo Veliz-Quintero

For a group $G$ and a finite set $A$ , a cellular automaton (CA) is a transformation $I ¨ : A^{G} \to A^{G}$ defined via a finite memory set $S \subseteq G$ and a local map $Î¼: A^S \to A…