1.8k citations · 2.2k across the 12 of their papers we have counts for
12 papers
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…
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…
Winning Opinion in the Voter Model: Following Your Friends' Advice or That of Their Friends?
Francisco J. Muñoz, Juan Carlos Nuño
We investigate a variation of the classical voter model in which the set of influencing agents depends on an individual's current opinion. The initial population consists of a rand…
Exploring the limits of the law of mass action in the mean field description of epidemics on Erdös-Rényi networks
Francisco J. Muñoz, Luca Meacci, Juan Carlos Nuño +1
The manner epidemics occurs in a social network depends on various elements, with two of the most influential being the relationships among individuals in the population and the me…
Entropy-Variance curves of binary sequences generated by random substitutions of constant length
Juan Carlos Nuño, Francisco J. Muñoz
We study some properties of binary sequences generated by random substitutions of constant length. Specifically, assuming the alphabet , we consider the following asymmetr…
Dropping mortality by increasing connectivity in plant epidemics
Ignacio Taguas, José A. Capitán, Juan C. Nuño
Pathogen introduction in plant communities can cause serious impact and biodiversity losses that may take long time to manage and restore. Effective control of epidemic spreading i…
Machine learning for risk assessment in gender-based crime
Ángel González-Prieto, Antonio Brú, Juan Carlos Nuño +1
Gender-based crime is one of the most concerning scourges of contemporary society. Governments worldwide have invested lots of economic and human resources to radically eliminate t…
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…
Universal visibility patterns of unimodal maps
Juan Carlos Nuño, Francisco J. Muñoz
We explore the order in chaos by studying the geometric structure of time series that can be deduced from a visibility mapping. This visibility mapping associates to each point $(t…
The partial visibility curve of the Feigenbaum cascade to chaos
Juan Carlos Nuño, Francisco J. Muñoz
A family of classical mathematical problems considers the visibility properties of geometric figures in the plane, e.g. curves or polygons. In particular, the {\it domination probl…
The Visibility Graph: a new method for estimating the Hurst exponent of fractional Brownian motion
Lucas Lacasa, Bartolo Luque, Jordi Luque +1
Fractional Brownian motion (fBm) has been used as a theoretical framework to study real time series appearing in diverse scientific fields. Because its intrinsic non-stationarity a…
From time series to complex networks: the visibility graph
Lucas Lacasa, Bartolo Luque, Fernando Ballesteros +2
In this work we present a simple and fast computational method, the visibility algorithm, that converts a time series into a graph. The constructed graph inherits several propertie…