Alonso Castillo-Ramirez

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20132026

most citedCellular Automata and Finite Groups

12 citations · 82 across the 30 of their papers we have counts for

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Showing 2026 · math.GRShow all

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math.GR2026

When do lazy and invertible cellular automata generate all cellular automata?

Edgar Alcalá-Arroyo, Alonso Castillo-Ramirez

Let $G$ be a group and let $A$ be a set with at least two elements. A lazy cellular automaton over $A^{G}$ acts as the identity except at the cells where a fixed pattern occurs, wher…

math.GR2026

A characterization of the reversibility of linear cellular automata

Alonso Castillo-Ramirez

Let $G$ be a group, let $K$ be a field, and let $V$ be a $K$ -vector space. We prove that there exists a bijective linear cellular automaton $V^{G} \to V^{G}$ whose inv…