The statistical physics of real-world networks

G Cimini, T Squartini, F Saracco, D Garlaschelli… - Nature Reviews …, 2019 - nature.com
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 …

The Kuramoto model in complex networks

FA Rodrigues, TKDM Peron, P Ji, J Kurths - Physics Reports, 2016 - Elsevier
Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Mathematics of epidemics on networks

IZ Kiss, JC Miller, PL Simon - Cham: Springer, 2017 - Springer
Over the past decade, the use of networks has led to a new modelling paradigm combining
several branches of science, including physics, mathematics, biology and social sciences …

Multilayer networks

M Kivelä, A Arenas, M Barthelemy… - Journal of complex …, 2014 - academic.oup.com
In most natural and engineered systems, a set of entities interact with each other in
complicated patterns that can encompass multiple types of relationships, change in time and …

Comparing information diffusion mechanisms by matching on cascade size

JL Juul, J Ugander - Proceedings of the National Academy of Sciences, 2021 - pnas.org
Do some types of information spread faster, broader, or further than others? To understand
how information diffusions differ, scholars compare structural properties of the paths taken …

Explosive phenomena in complex networks

RM D'Souza, J Gómez-Gardenes, J Nagler… - Advances in …, 2019 - Taylor & Francis
The emergence of large-scale connectivity and synchronization are crucial to the structure,
function and failure of many complex socio-technical networks. Thus, there is great interest …

Suppressing cascades of load in interdependent networks

CD Brummitt, RM D'Souza, EA Leicht - Proceedings of the national …, 2012 - pnas.org
Understanding how interdependence among systems affects cascading behaviors is
increasingly important across many fields of science and engineering. Inspired by cascades …

Comparing community structure to characteristics in online collegiate social networks

V Red, ED Kelsic, PJ Mucha, MA Porter - SIAM review, 2011 - SIAM
We study the structure of social networks of students by examining the graphs of Facebook
“friendships” at five US universities at a single point in time. We investigate the community …

Binary-state dynamics on complex networks: Pair approximation and beyond

JP Gleeson - Physical Review X, 2013 - APS
A wide class of binary-state dynamics on networks—including, for example, the voter model,
the Bass diffusion model, and threshold models—can be described in terms of transition …

Network models of financial systemic risk: a review

F Caccioli, P Barucca, T Kobayashi - Journal of Computational Social …, 2018 - Springer
The global financial system can be represented as a large complex network in which banks,
hedge funds and other financial institutions are interconnected to each other through visible …