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The roundtable: an abstract model of conversation dynamics
Massimo Mastrangeli, Martin Schmidt, Lucas Lacasa
Is it possible to abstract a formal mechanism originating schisms and governing the size evolution of social conversations? In this work a constructive solution to such problem is…
Description of stochastic and chaotic series using visibility graphs
Lucas Lacasa, Raul Toral
Nonlinear time series analysis is an active field of research that studies the structure of complex signals in order to derive information of the process that generated those serie…
Critical behavior of a Ginzburg-Landau model with additive quenched noise
Niko Komin, Lucas Lacasa, Raul Toral
We address a mean-field zero-temperature Ginzburg-Landau, or ϕ^4, model subjected to quenched additive noise, which has been used recently as a framework for analyzing collective e…
Horizontal visibility graphs: exact results for random time series
Bartolo Luque, Lucas Lacasa, Fernando Ballesteros +1
The visibility algorithm has been recently introduced as a mapping between time series and complex networks. This procedure allows to apply methods of complex network theory for ch…