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.

  • How much can we influence the rate of innovation?

    TFT. FinkMRM. Reeves Science Advances

    The rate of innovation

    The distribution of product complexity helps explain why some technology sectors tend to exhibit faster innovation rates than others.

  • Reconstructing grain-shape statistics from electron back-scatter diffraction microscopy

    RFR. FarrZVMHEG Physical Review Materials

    Grain shape inference

    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.

  • Exactly solvable random graph ensemble with extensively many short cycles

    FLPBP. BaruccaMFACA. Coolen Journal of Physics A

    Exactly solvable random graphs

    An explicit analytical solution reproduces the main features of random graph ensembles with many short cycles under strict degree constraints.

  • Serendipity and strategy in rapid innovation

    TFT. FinkMRM. ReevesRPRFR. Farr Nature Communications

    Serendipity and strategy

    In systems of innovation, the relative usefulness of different components changes as the number of components we possess increases.

  • Physical Review E

    Optimal growth rates

    An extension of the Kelly criterion maximises the growth rate of multiplicative stochastic processes when limited resources are available.

  • Journal of Statistical Mechanics

    Clusters of neurons

    Percolation theory shows that the formation of giant clusters of neurons relies on a few parameters that could be measured experimentally.

  • Journal of Physics A

    Spin systems on Bethe lattices

    Exact equations for the thermodynamic quantities of lattices made of d-dimensional hypercubes are obtainable with the Bethe-Peierls approach.

  • Journal of Physics A

    Multitasking immune networks

    The immune system must simultaneously recall multiple defense strategies because many antigens can attack the host at the same time.

  • Nature Physics

    Reconstructing credit

    New mathematical tools can help infer financial networks from partial data to understand the propagation of distress through the network.

  • Physical Review E

    Weighted network evolution

    A statistical procedure identifies dominant edges within weighted networks to determine whether a network has reached its steady state.

  • Physical Review E

    Unbiased randomization

    Unbiased randomisation processes generate sophisticated synthetic networks for modelling and testing the properties of real-world networks.

  • Philosophical Magazine

    Dynamics of Ising chains

    A transfer operator formalism solves the macroscopic dynamics of disordered Ising chain systems which are relevant for ageing phenomena.

  • Journal of Physics A

    Tailored random graph ensembles

    New mathematical tools quantify the topological structure of large directed networks which describe how genes interact within a cell.

  • Physica A

    Tie knots and topology

    The topological structure of tie knots categorises them by shape, size and aesthetic appeal and defines the sequence of knots to produce them.