Alonso Castillo-Ramirez

collaborators

8 papers

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.DS2026

Topological Dynamics of Pullback Maps on Full Shifts

Alonso Castillo-Ramirez, Luguis De Los Santos BaÃ±os

Let $G$ be a group, let $A$ be a finite alphabet, and let $I ¨ : G \to G$ be an endomorphism. We study the topological dynamics of the pullback map $I ¨ ^{*} : A^{G} \to A^{G}$ , given by $Ï…

math.RA2026

Fusion rules from the Norton inequality

Alonso Castillo-Ramirez

The Norton inequality is one of the fundamental axioms in the theory of Majorana and axial algebras, yet its precise structural consequences have remained only partially understood…

cs.FL2026

On the order of lazy cellular automata

Edgar AlcalÃ¡-Arroyo, Alonso Castillo-Ramirez

We study the most elementary family of cellular automata defined over an arbitrary group universe $G$ and an alphabet $A$ : the lazy cellular automata, which act as the identity on…

cs.FL2026

A categorical framework for cellular automata

A. Castillo-Ramirez, A. Vazquez-Aceves, A. Zaldivar-Corichi

This paper proposes a generalized framework for cellular automata using the language of category theory, extending the classical definition beyond set-theoretic constraints. For an…

nlin.CG2025

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 $G$ , we consider the category $C A (G)$ whose objects are configuration spaces of the form $A^{G}$ , where $…