As the total value of the global financial market outgrew the value of the real economy,
financial institutions created a global web of interactions that embodies systemic risks …

In the past 15 years, statistical physics has been successful as a framework for modelling
complex networks. On the theoretical side, this approach has unveiled a variety of physical …

In the past years, network theory has successfully characterized the interaction among the
constituents of a variety of complex systems, ranging from biological to technological, and …

A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

We bring rigor to the vibrant activity of detecting power laws in empirical degree distributions
in real-world networks. We first provide a rigorous definition of power-law distributions …

Many biological and man-made networked systems are characterized by the simultaneous
presence of different sub-networks organized in separate layers, with links and nodes of …

Random graph null models have found widespread application in diverse research
communities analyzing network datasets, including social, information, and economic …

Simplicial complexes are generalized network structures able to encode interactions
occurring between more than two nodes. Simplicial complexes describe a large variety of …

Represented as graphs, real networks are intricate combinations of order and disorder.
Fixing some of the structural properties of network models to their values observed in real …

Many empirical networks are intrinsically polyadic, with interactions occurring within groups
of agents of arbitrary size. There are, however, few flexible null models that can support …