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It is often claimed that networks are ubiquitous in the modeling of dynamical systems. However, while the vast majority of networked models assume the interactions to be symmetric, in a large class of systems, there is a discrepancy in the way two agents influence each other, and the underlying network is intrinsically directed. Common systems such as power grids, brain networks, or social networks are example of such systems. In this talk I will review some important consequences of the directedness of network interactions. We will try to draw a clear line between what can and cannot be extended from the analysis of undirected networks to directed networks. I will illustrate my talk with a series of both expected and surprising examples. |