1.8k citations · 3.5k across the 58 of their papers we have counts for
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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…
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…
On the spectral properties of Feigenbaum graphs
Ryan Flanagan, Lucas Lacasa, Vincenzo Nicosia
A Horizontal Visibility Graph (HVG) is a simple graph extracted from an ordered sequence of real values, and this mapping has been used to provide a combinatorial encryption of tim…
Visibility graphs for image processing
Jacopo Iacovacci, Lucas Lacasa
The family of image visibility graphs (IVGs) have been recently introduced as simple algorithms by which scalar fields can be mapped into graphs. Here we explore the usefulness of…
A combinatorial framework to quantify peak/pit asymmetries in complex dynamics
Uri Hasson, Jacopo Iacovacci, Ben Davis +4
We explore a combinatorial framework which efficiently quantifies the asymmetries between minima and maxima in local fluctuations of time series. We firstly showcase its performanc…
Visibility graphs of random scalar fields and spatial data
Lucas Lacasa, Jacopo Iacovacci
The family of visibility algorithms were recently introduced as mappings between time series and graphs. Here we extend this method to characterize spatially extended data structur…