1.8k citations · 1.8k across the 2 of their papers we have counts for
4 papers
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…
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…