3 papers
nlin.CG2026
Probabilistic Cellular Automata: between deterministic Wolfram's rules 23, 77, 178 and 232
Francisco J. Muñoz, Juan Carlos Nuño
We study one dimensional binary Probabilistic Cellular Automaton (PCA) that interpolate between Wolfram's classical rules 23, 77, 178 and 232. These rules are the only ones that sa…
cs.FL2025
Rule-based Generation of de Bruijn Sequences: Memory and Learning
Francisco J. Muñoz, Juan Carlos Nuño
We investigate binary sequences generated by non-Markovian rules with memory length , similar to those adopted in Elementary Cellular Automata. This generation procedure is equi…
math.HO2020
On the ubiquity of the ruler sequence
Juan Carlos Nuño, Francisco J. Muñoz
The ruler function or the Gros sequence is a classical infinite integer sequence that is underlying some interesting mathematical problems. In this paper, we provide four new probl…