Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each paper is the result of many months of research, so we make a special effort to make them clear, beautiful and inspirational, and publish them in leading journals.
The distribution of product complexity helps explain why some technology sectors tend to exhibit faster innovation rates than others.
The distributions of size and shape of a material’s grains can be constructed from a 2D slice of the material and electron diffraction data.
Controlling analytically second or higher-order properties of networks is a great mathematical challenge.
In systems of innovation, the relative usefulness of different components changes as the number of components we possess increases.
An extension of the Kelly criterion maximises the growth rate of multiplicative stochastic processes when limited resources are available.
Percolation theory shows that the formation of giant clusters of neurons relies on a few parameters that could be measured experimentally.
Hypercubic Bethe lattices retain many of the loops of the topology of realistic spin systems.
The immune system must simultaneously recall multiple defense strategies because many antigens can attack the host at the same time.
New mathematical tools can help infer financial networks from partial data to understand the propagation of distress through the network.
A statistical procedure identifies dominant edges within weighted networks to determine whether a network has reached its steady state.
Unbiased randomisation processes generate sophisticated synthetic networks for modelling and testing the properties of real-world networks.
The dynamics of one-dimensional Ising chains is of interest in the context of ageing phenomena.
Our approach gives a rigorous quantitative method for prioritising network properties.
The topological structure of tie knots categorises them by shape, size and aesthetic appeal and defines the sequence of knots to produce them.