Networks are finite metric spaces, with distances defined by the shortest paths between
nodes. However, this is not the only form of network geometry: two others are the geometry …

These are exciting times for quantum physics as new quantum technologies are expected to
soon transform computing at an unprecedented level. Simultaneously network science is …

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 …

Rapid research progress in science and technology (S&T) and continuously shifting
workforce needs exert pressure on each other and on the educational and training systems …

Complex networks are key to describing the connected nature of the society that we live in.
This book, the second of two volumes, describes the local structure of random graph models …

These lecture notes are intended to be used for master courses, where the students have a
limited prior knowledge of special topics in probability. Therefore, we have included many of …

This book is designed to become a foundational text for the new science of AI safety
engineering. While specific predictions regarding the consequences of an intelligence …

A large variety of interacting complex systems are characterized by interactions occurring
between more than two nodes. These systems are described by simplicial complexes …

A rigorous case for the primacy of mind in nature, from philosophy to neuroscience,
psychology and physics. The Idea of the World offers a grounded alternative to the frenzy of …

Network theory has unveiled the underlying structure of complex systems such as the
Internet or the biological networks in the cell. It has identified universal properties of complex …