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.
A phase transition creates the geometry of the continuum from discrete space, but it needs disorder if it is to have the right metric.
In this paper we sketch a general methodology for studying the phase diagram of memristive circuits.
Non-linear models of distress propagation in financial networks characterise key regimes where shocks are either amplified or suppressed.
Our results re-open the study of critical probabilities in bootstrap percolation on infinite lattices.