Alonso Castillo-Ramirez

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20242026

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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…

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…