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Steady-State Dynamics of the Forest Fire Model on Complex Networks
Jean-Daniel Bancal, Romualdo Pastor-Satorras
Many sociological networks, as well as biological and technological ones, can be represented in terms of complex networks with a heterogeneous connectivity pattern. Dynamical proce…
Mean-field diffusive dynamics on weighted networks
Andrea Baronchelli, Romualdo Pastor-Satorras
Diffusion is a key element of a large set of phenomena occurring on natural and social systems modeled in terms of complex weighted networks. Here, we introduce a general formalism…
The non-linear q-voter model
C. Castellano, M. A. Munoz, R. Pastor-Satorras
We introduce a non-linear variant of the voter model, the q-voter model, in which q neighbors (with possible repetition) are consulted for a voter to change opinion. If the q neigh…
Glass transition and random walks on complex energy landscapes
Andrea Baronchelli, Alain Barrat, Romualdo Pastor-Satorras
We present a simple mathematical model of glassy dynamics seen as a random walk in a directed, weighted network of minima taken as a representation of the energy landscape. Our app…
Effects of mobility on ordering dynamics
Andrea Baronchelli, Romualdo Pastor-Satorras
Models of ordering dynamics allow to understand natural systems in which an initially disordered population homogenizes some traits via local interactions. The simplest of these mo…