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.
Circuits of memristors, resistors with memory, can exhibit instabilities which allow classical tunnelling through potential energy barriers.
A simple solvable model of memristive networks suggests a correspondence between the asymptotic states of memristors and the Ising model.
Exact solutions for the dynamics of interacting memristors predict whether they relax to higher or lower resistance states given random initialisations.
Memristive networks preserve memory and have the ability to learn according to analysis of the network’s internal memory dynamics.
Exact equations of motion provide an analytical description of the evolution and relaxation properties of complex memristive circuits.
An extension of the Kelly criterion maximises the growth rate of multiplicative stochastic processes when limited resources are available.
The community matrix of a complex ecosystem captures the population dynamics of interacting species and transitions to unstable abundances.
Percolation theory shows that the formation of giant clusters of neurons relies on a few parameters that could be measured experimentally.
In an infinitely bouncing Universe, the scalar field driving the cosmological expansion and contraction carries information between phases.
A local model of preferential attachment with short-term memory generates scale-free networks, which can be readily computed by memristors.