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.

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  • Phase transition creates the geometry of the continuum from discrete space


    RFR. FarrTFT. Fink Physical Review E

    Geometry of discrete space

    A phase transition creates the geometry of the continuum from discrete space, but it needs disorder if it is to have the right metric.

  • Exactly solvable model of memristive circuits: Lyapunov functional and mean field theory


    FCF. CaravelliPBP. Barucca European Physical Journal B

    Solvable memristive circuits

    Exact solutions for the dynamics of interacting memristors predict whether they relax to higher or lower resistance states given random initialisations.

  • Distress propagation in complex networks: the case of non-linear DebtRank

    Complex networks, Financial risk

    MBM. BardosciaFCJPGVGCG. Caldarelli PLoS ONE

    Non-linear distress propagation

    Non-linear models of distress propagation in financial networks characterise key regimes where shocks are either amplified or suppressed.

  • Subcritical U-Bootstrap percolation models have non-trivial phase transitions

    Percolation theory

    PBBBB. BollobásMPM. PrzykuckiPSP. Smith Transactions of the American Mathematical Society

    Bootstrap percolation models

    A subset of bootstrap percolation models, which stabilise systems of cells on infinite lattices, exhibit non-trivial phase transitions.