Alonso Castillo-Ramirez

activity

20132026

most citedCellular Automata and Finite Groups

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

collaborators

Showing 2016Show all

3 papers · 1 filter

math.GR2016★ 12 cited

Cellular Automata and Finite Groups

Alonso Castillo-Ramirez, Maximilien Gadouleau

For a finite group $G$ and a finite set $A$ , we study various algebraic aspects of cellular automata over the configuration space $A^{G}$ . In this situation, the set $CA (G; A)$ …

math.GR2016★ 5 cited

Lengths of words in transformation semigroups generated by digraphs

P. J. Cameron, A. Castillo-Ramirez, M. Gadouleau +1

Given a simple digraph $D$ on $n$ vertices (with $n \geq 2$ ), there is a natural construction of a semigroup $⟨ D ⟩$ associated with $D$ . For any edge $(a, b)$ of $D$ , let $…

math.GR2016★ 9 cited

On Finite Monoids of Cellular Automata

Alonso Castillo-Ramirez, Maximilien Gadouleau

For any group $G$ and set $A$ , a cellular automaton over $G$ and $A$ is a transformation $τ : A^{G} \to A^{G}$ defined via a finite neighborhood $S \subseteq G$ (called a memory set of…