Complex networks for streamflow dynamics

Complex networks: Models and dynamics

Wealth Dynamics on Complex Networks

We study a model of wealth dynamics [Bouchaud and Mézard 2000, Physica A 282, 536] which mimics transactions among economic agents. The outcomes of the model are shown to depend strongly on the topological properties of the underlying transaction network. The extreme cases of a fully connected and a fully disconnected network yield power-law and log-normal forms of the wealth distribution respe...

Spreading dynamics in complex networks

Searching for influential spreaders in complex networks is an issue of great significance for applications across various domains, ranging from the epidemic control, innovation diffusion, viral marketing, social movement to idea propagation. In this paper, we first display some of the most important theoretical models that describe spreading processes, and then discuss the problem of locating b...

Complex networks: Statics and Dynamics

We present some of the results obtained during the last 8 years about complex networks. Starting with the collection of data in the form of networks or graphs, we proceed on the characterization at different scales: microscopic, macroscopic, and mesoscopic. We introduce also the basic models incorporating complexity in the pattern of connectivities. Finally we review some results on dynamical f...

Simple Dynamics on Complex Networks

An analytical approach to network dynamics is used to show that when agents copy their state randomly the network arrives to a stationary status in which the distribution of states is independent of the degree. The effects of network topology on the process are characterized introducing a quantity called influence and studying its behavior for scale-free and random networks. We show that for th...