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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…
Multiplex decomposition of non-Markovian dynamics and the hidden layer reconstruction problem
Lucas Lacasa, Inés P. Mariño, Joaquín Miguez +5
Elements composing complex systems usually interact in several different ways and as such the interaction architecture is well modelled by a multiplex network. However often this a…
Visibility graphs and symbolic dynamics
Lucas Lacasa, Wolfram Just
Visibility algorithms are a family of geometric and ordering criteria by which a real-valued time series of N data is mapped into a graph of N nodes. This graph has been shown to o…
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…