(Institute of Theoretical Physics and Department of Physics, East China Normal University)
Rumor, information, and mass spreading in complex networks
In this talk, I will briefly introduce our works on the statistical behaviors on complex networks, which includes the influence of network structure on rumor propagation, communication of information in complex networks, and condensation on weighted scale-free networks. Our main results are as follows: (1) We find that the random network is in favor of rumor propagation than the scale-free networks; (2) Two efficient approaches are presented to perform the quantitative analysis of controlling the congestion in realistic networks, such as the internet. And a mean-field theory is provided to explain how the packets are delivered in the networks. (3) We find that the condensation on scale-free network is easier to occur in the case of weighted transport than in the case of weight-free. In the weighted transport, especially, a dynamical condensation is even possible for the case of no interaction among particles, which is impossible in the case of weight-free.