Universal behavior of the full particle statistics of one-dimensional Coulomb gases with an arbitrary external potential

Random matrix theory is central to the study of the properties of strongly correlated systems in condensed matter physics and related fields, where important physical quantities are surprisingly well reflected by the joint probability density of the eigenvalues of random matrices. Read more

Intermittent dynamics in complex systems driven to depletion

From earthquakes driven by continental drift to businesses altering their strategies in response to customers’ behaviour, many complex systems exhibit highly unpredictable dynamics, fluctuating episodically between periods of relative quiescence and bursts of activity. Read more

Heteroclinic networks – probing the hidden influence of unstable fixed points

The stable fixed points of a dynamical system attract obvious interest as potential resting points, or final states. Without continued forcing, for example, a physical pendulum will ultimately end up hanging motionless in the downward position. Read more

Using Extreme Value Theory to Characterize Chaotic Dynamics

In the analysis of dynamical systems, the correlation dimension is a useful indicator describing the fractal structure of invariant sets. Other measures, such as the Lyapunov exponents and the entropy, provide complementary information on the time scale of predictability of the system. Read more

Characterizing local energy transfers in atmospheric flows

Computational models employed for simulations of weather and climate have limited spatial resolution, currently around 2 km for regional weather models and 100 km for global climate models. Read more

LML External Fellow Davide Faranda has received the 2018 Outstanding Early Career Scientists Award of the European Geosciences Union

Davide was given the award for “his exceptional contributions to developing the theory of extreme values for dynamical systems and its use for analysing the underlying properties of the dynamics of the atmosphere and the climate system.” Read more

Large deviation theory for diluted Wishart random matrices

Modern computing technology has brought about the era of Big Data, and a host of new challenges concerning how to analyse high-dimensional data for problems ranging from studies of climate to genetics, biomedical imaging to economics. Read more

Baillie Gifford sponsors LML Economics project

We are delighted to share the news that Baillie Gifford has become LML’s first corporate sponsor, donating £1 million over four years to support our research into economics. We are grateful for this generous philanthropy, which will help us accelerate progress in this ground-breaking scientific programme.

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Switching dynamics in atmospheric flow

The jet stream is a band of air that flows around the Earth at high-altitude, moving West to East in mid-latitude regions. This so-called “zonal” flow typically has cyclones and anticyclones embedded within it, which last for a few days. Read more