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Langevin approach for the dynamics of the contact process on annealed scale-free networks
Marian Boguna, Claudio Castellano, Romualdo Pastor-Satorras
We study the dynamics of the contact-process, one of the simplest nonequilibrium stochastic processes, taking place on a scale-free network. We consider the network topology as ann…
Bosonic reaction-diffusion processes on scale-free networks
Andrea Baronchelli, Michele Catanzaro, Romualdo Pastor-Satorras
Reaction-diffusion processes can be adopted to model a large number of dynamics on complex networks, such as transport processes or epidemic outbreaks. In most cases, however, they…
Random walks on complex trees
Andrea Baronchelli, Michele Catanzaro, Romualdo Pastor-Satorras
We study the properties of random walks on complex trees. We observe that the absence of loops reflects in physical observables showing large differences with respect to their loop…