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.

  • 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.

  • The mise en scene of memristive networks: effective memory, dynamics and learning

    FCF. Caravelli International Journal of Parallel, Emergent and Distributed Systems

    Memristive networks and learning

    Memristive networks preserve memory and have the ability to learn according to analysis of the network’s internal memory dynamics.

  • Pathways towards instability in financial networks

    MBM. BardosciaSBFCGCG. Caldarelli Nature Communications

    Pathways towards instability

    Processes believed to stabilize financial markets can drive them towards instability by creating cyclical structures that amplify distress.

  • Optimal growth trajectories with finite carrying capacity

    FCF. CaravelliLSFCCU 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.


    Instability in complex ecosystems

    The community matrix of a complex ecosystem captures the population dynamics of interacting species and transitions to unstable abundances.


    Dynamics of economic complexity

    Dynamical systems theory predicts the growth potential of countries with heterogeneous patterns of evolution where regression methods fail.


    Measuring the intangibles

    Coupled non-linear maps extract information about the competitiveness of countries to the complexity of their products from trade data.

  • EPL

    Random cellular automata

    Of the 256 elementary cellular automata, 28 of them exhibit random behavior over time, but spatio-temporal currents still lurk underneath.