James Crutchfield

doi:10.1038/nphys2190

A completely ordered universe is as unexciting as an entirely disordered one. Interesting 'complex' phenomena arise in a middle ground. This article reviews the tools that have been developed to quantify structural complexity and to automatically discover patterns hidden between order and chaos.

Abstract- Between order and chaos | Full text- Between order and chaos | PDF (1,545KB)- Between order and chaos

M. E. J. Newman

doi:10.1038/nphys2162

Networks have proved to be useful representations of complex systems. Within these networks, there are typically a number of subsystems defined by only a subset of nodes and edges. Detecting these structures often provides important information about the organization and functioning of the overall network. Here, progress towards quantifying medium- and large-scale structures within complex networks is reviewed.

Abstract- Communities, modules and large-scale structure in networks | Full text-Communities, modules and large-scale structure in networks | PDF (1,545KB)- Communities, modules and large-scale structure in networks

Alessandro Vespignani

doi:10.1038/nphys2160

Vast amounts of data are available about complex technological systems and how we use them. These data provide the basis not only for mapping out connectivity patterns, but also for the study of dynamical phenomena, including epidemic outbreaks and routing of information through computer networks. This article reviews the fundamental tools for modelling such dynamical processes and discusses a number of applications.

Abstract-Modelling dynamical processes in complex socio-technical systems | Full text- Modelling dynamical processes in complex socio-technical systems | PDF (1,545KB)- 

Progress Article