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 …

Inspired by empirical studies of networked systems such as the Internet, social networks,
and biological networks, researchers have in recent years developed a variety of techniques …

The availability of large data sets has allowed researchers to uncover complex properties
such as large-scale fluctuations and heterogeneities in many networks, leading to the …

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 …

Many-body problem is a common issue no matter which scale of entities we are dealing
with. From electrons to atoms, small molecules like inorganic or organic of simple structures …

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 …

Ising spins put onto a Barabási–Albert scale-free network show an effective phase transition
from ferromagnetism to paramagnetism upon heating, with an effective critical temperature …

We implement the Ising model on a structural connectivity matrix describing the brain at two
different resolutions. Tuning the model temperature to its critical value, ie at the susceptibility …

We have obtained exact results for the Ising model on a hierarchical lattice incorporating
three key features characterizing many real-world networks—a scale-free degree …

We investigate the majority-vote model on small-world networks by rewiring the two-
dimensional square lattice. We observe that the introduction of long-range interactions does …