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 →
According to current international regulation, financial institutions are obliged to calculate the risk in their trading book on the basis of expected shortfall (ES), a risk measure which aims to capture risk from rare, low-probability events more effectively than earlier measures. Read more →
The climate system involves a complex interplay between the ocean and atmosphere. Studies of this interplay typically rely on model simulations in comparison with time series data for some feature of oceanic and/or atmospheric circulation on a regional or larger scale. Read more →
A leading model in earthquake forecasting is the epidemic-type aftershock sequence model, which takes the times and locations of future aftershocks to depend on previous earthquakes, with more recent earthquakes exerting more influence than older events. Read more →
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