Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …

Statistical physics has proven to be a fruitful framework to describe phenomena outside the
realm of traditional physics. Recent years have witnessed an attempt by physicists to study …

From the Internet to networks of friendship, disease transmission, and even terrorism, the
concept--and the reality--of networks has come to pervade modern society. But what exactly …

We review the recent rapid progress in the statistical physics of evolving networks. Interest
has focused mainly on the structural properties of complex networks in communications …

The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …

We study a two-dimensional, nonreciprocal XY model, where each spin interacts only with
its nearest neighbors in a certain angle around its current orientation, ie, its “vision cone.” …

We analyze the nonequilibrium order-disorder transition of Axelrod's model of social
interaction in several complex networks. In a small-world network, we find a transition …

We investigate how the topology of small-world networks affects the dynamics of the voter
model for opinion formation. We show that, contrary to what occurs on regular topologies …

We study the dynamics of excitable integrate-and-fire neurons in a small-world network. At
low densities p of directed random connections, a localized transient stimulus results either …

Many complex networks in nature have directed links, a property that affects the network's
navigability and large-scale topology. Here we study the percolation properties of such …