1.8k citations · 3.5k across the 58 of their papers we have counts for
62 papers
Visibility graph-based characterization of extreme values in time series
Juliane T. Moraes, Lucas Lacasa, Cristina Masoller
Complex dynamical systems often display extreme fluctuations of an observed variable that constitute significant deviations from the long-term average, and which are often associat…
Irreversibility of symbolic time series: a cautionary tale
Lluis Arola-Fernandez, Lucas Lacasa
Many empirical time series are genuinely symbolic: examples range from link activation patterns in network science, DNA coding or firing patterns in neuroscience to cryptography or…
Higher-order correlations reveal complex memory in temporal hypergraphs
Luca Gallo, Lucas Lacasa, Vito Latora +1
Many real-world complex systems are characterized by interactions in groups that change in time. Current temporal network approaches, however, are unable to describe group dynamics…
Lyapunov Exponents for Temporal Networks
Annalisa Caligiuri, Victor M. Eguiluz, Leonardo di Gaetano +2
By interpreting a temporal network as a trajectory of a latent graph dynamical system, we introduce the concept of dynamical instability of a temporal network, and construct a meas…
Chaotic renormalization group flow and entropy gradients over Haros graphs
Jorge Calero-Sanz, Bartolo Luque, Lucas Lacasa
Haros graphs have been recently introduced as a set of graphs bijectively related to real numbers in the unit interval. Here we consider the iterated dynamics of a graph operator $…
Haros graphs: an exotic representation of real numbers
Jorge Calero-Sanz, Bartolo Luque, Lucas Lacasa
This paper introduces Haros graphs, a construction which provides a graph-theoretical representation of real numbers in the unit interval reached via paths in the Farey binary tree…