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.
Single realization of random positions and orientations of 100 disks with an external field pointing in the direction of the red arrow.
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.