Erica’s research focusses on subtle issues affecting the use of mathematical models and simulations in aid of real-world decision making. In her own words, Read more →
Will climate change make weather forecasting harder than it currently is? Or, could a warmer planet make prediction easier? The answer isn’t obvious. Because atmospheric dynamics are chaotic, there are practical limits to predictability, regardless of data precision and available computing power. Read more →
Large cities play a disproportionate role in global economic productivity and innovation. Their productivity advantage rests on specialization and the concentration of many diverse skills and capabilities in one place, multiplying economic opportunities and efficiencies. Even so, cities do not appear to develop along one predictable trajectory. Read more →
Rainer was recently nominated for the Fellowship by the Institute of Theoretical Physics at the Technical University of Berlin. The Fellowship will support a guest professorship, enabling him to work with scientists of the German Collaborative Research Centre ‘Control of self-organising nonlinear systems’ (SFB910). Read more →
Lyapunov exponents play a central role in dynamical systems theory, and offer a measure of the local instability that lies behind deterministic chaos and the sensitive dependence of trajectories on initial conditions. Read more →
The London Mathematical Laboratory has signed a new research agreement with the Institute of Physics at the National Autonomous University of Mexico (UNAM) in Mexico City. Read more →
Earthquake statistics follow an approximate scaling law – the famous Gutenberg-Richter law – which states that the number of earthquakes having magnitude m larger than some value M falls off as a power law with an exponent b. The value of b can be estimated from recorded data in earthquake catalogues. Read more →
Random matrix theory starts from the assumption that the large-scale behaviour of a complex system should be governed by its symmetries and the statistical properties of its parameters, and be relatively insensitive to the precise details of each interacting element. Read more →
The physics of many-body systems out of equilibrium poses some of the most challenging questions in modern science. Particularly novel behaviour occurs in one dimension, where integrability often strongly affects the non-equilibrium physics, and numerous conservation laws constrain the natural relaxation to stationary states. Read more →
The Dutch scientist Christiaan Huygens famously observed in 1665 that two pendulum-clocks situated in the same room would, over time, come to be synchronized. The explanation? The two clocks were actually interacting very weakly through movements of the floor. Read more →
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