M. Sánchez-Álvarez

activity

20192022

most citedA generalization of cellular automata over groups

7 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2022★ 7 cited

A generalization of cellular automata over groups

A. Castillo-Ramirez, M. Sanchez-Alvarez, A. Vazquez-Aceves +1

Let $G$ be a group and let $A$ be a finite set with at least two elements. A cellular automaton (CA) over $A^{G}$ is a function $τ : A^{G} \to A^{G}$ defined via a finite memory set $S \s…

math.GR2021★ 1 cited

The number of configurations in the full shift with a given least period

Alonso Castillo-Ramirez, Miguel Sánchez-Álvarez

For any group $G$ and any set $A$ , consider the shift action of $G$ on the full shift $A^{G}$ . A configuration $x \in A^{G}$ has \emph{least period} $H \leq G$ if the stabiliser of $x$ …

math.GR2019

Bounding the minimal number of generators of groups and monoids of cellular automata

Alonso Castillo-Ramirez, Miguel Sanchez-Alvarez

For a group $G$ and a finite set $A$ , denote by $CA (G; A)$ the monoid of all cellular automata over $A^{G}$ and by $ICA (G; A)$ its group of units. We study the minimal ca…