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.

  • 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.

  • Maximum one-shot dissipated work from Rényi divergences

    NHAGODO. DahlstenVV Physical Review E

    One-shot statistic

    One-shot analogs of fluctuation-theorem results help unify these two approaches for small-scale, nonequilibrium statistical physics.

  • Enhanced capital-asset pricing model for bipartite financial networks reconstruction

    TSGCG. CaldarelliGC Physical Review E

    Financial network reconstruction

    Statistical mechanics concepts reconstruct connections between financial institutions and the stock market, despite limited data disclosure.

  • Grand canonical validation of the bipartite international trade network

    MSGCG. CaldarelliFS Physical Review E

    Bipartite trade network

    A new algorithm unveils complicated structures in the bipartite mapping between countries and products of the international trade network.

  • Physical Review E

    Spectral partitioning

    The spectral density of graph ensembles provides an exact solution to the graph partitioning problem and helps detect community structure.

  • Physical Review E

    Dynamics of memristors

    Exact equations of motion provide an analytical description of the evolution and relaxation properties of complex memristive circuits.

  • Physical Review E

    Optimal heat exchange networks

    Compact heat exchangers can be designed to run at low power if the exchange is concentrated in a crumpled surface fed by a fractal network.

  • 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.

  • Physical Review E

    Communities in networks

    A new tool derived from information theory quantitatively identifies trees, hierarchies and community structures within complex networks.

  • Physical Review E

    Structural imperfections

    Fractal structures need very little mass to support a load; but for current designs, this makes them vulnerable to manufacturing errors.

  • Physical Review E

    Hierarchical structures

    The most efficient load-bearing fractals are designed as big structures under gentle loads ... a situation common in aerospace applications.

  • 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.

  • Physical Review E

    Assessing self-assembly

    The information needed to self-assemble a structure quantifies its modularity and explains the prevalence of certain structures over others.

  • Physical Review E

    Ever-shrinking spheres

    Techniques from random sphere packing predict the dimension of the Apollonian gasket, a fractal made up of non-overlapping hyperspheres.