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Quasi-stationary simulations of the contact process on quenched networks
Silvio C. Ferreira, Ronan S. Ferreira, Claudio Castellano +1
We present high-accuracy quasi-stationary (QS) simulations of the contact process in quenched networks, built using the configuration model with both structural and natural cutoffs…
Heterogenous mean-field analysis of a generalized voter-like model on networks
Paolo Moretti, Suyu Liu, Andrea Baronchelli +1
We propose a generalized framework for the study of voter models in complex networks at the the heterogeneous mean-field (HMF) level that (i) yields a unified picture for existing…
Quasi-stationary analysis of the contact process on annealed scale-free networks
Silvio C. Ferreira, Ronan S. Ferreira, Romualdo Pastor-Satorras
We present an analysis of the quasi-stationary (QS) state of the contact process (CP) on annealed scale-free networks using a mapping of the CP dynamics in a one-step processes and…
Competing activation mechanisms in epidemics on networks
Claudio Castellano, Romualdo Pastor-Satorras
In contrast to previous common wisdom that epidemic activity in heterogeneous networks is dominated by the hubs with the largest number of connections, recent research has pointed…
Complex networks and glassy dynamics: walks in the energy landscape
Paolo Moretti, Andrea Baronchelli, Alain Barrat +1
We present a simple mathematical framework for the description of the dynamics of glassy systems in terms of a random walk in a complex energy landscape pictured as a network of mi…