The LML Summer School for 2018 ran from mid-July to mid-August and was a great success, with eight students collaborating on projects supervised by LML Fellows. The students made their final presentations on 17 August, and these are now available online, links given below. Read more →
Addressing climate change is among the top challenges facing governments around the world, requiring drastic reductions of greenhouse gas emissions. In part this will be through new technologies but progress will also require encouraging significant changes in day-to-day human behaviour. Read more →
In Southern California, Japan, Indonesia or other areas around the world prone to earthquakes, people at risk face vast uncertainty about when, where, and how strong the next one will be. Read more →
Systemic risk in the financial system is risk tied not to one specific firm, but to the interactions between firms – for example, through possible avalanches of spreading financial distress. One important form of systemic risk arises from indirect links between financial institutions, created when financial institutions invest in the same assets. Read more →
The availability of large digital corpora of cross-linguistic data is revolutionizing many branches of linguistics, triggering a shift of study from detailed questions about individual features to more global patterns amenable to statistical analyses. Read more →
Random walks provide precise mathematical models for diffusion processes, while rooted trees offer a geometric representation of branching processes. Both are of broad importance in probability theory and statistical physics, and some important mathematical results establish links between the two. Read more →
Early in the 20th century, experts tried to forecast the weather by noting current conditions, patterns of winds, temperatures and air pressures, and looking into historical records to find previous moments when similar conditions prevailed. Looking a few days forward in the records, they could then make predictions by assuming the atmosphere would evolve as it had in the past. Read more →
Coupled Map Lattices (CML) are discrete time and space dynamical systems often used as simplified models for the study of spatially-extended non-linear systems. Read more →
Galileo Galilei famously stated the principle of Galilean invariance, which links the equations of motion of closed systems as viewed in distinct inertial frames translating relative to one another at a constant velocity. Read more →
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 →
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