kuramoto

Continuous vs. Discontinuous Transitions in the D-Dimensional Generalized Kuramoto Model: Odd D is different

In 1975, Yoshiki Kuramoto introduced a simple model to describe the collective dynamics of a set of interacting oscillators. In the model, each oscillator has a natural frequency, and is coupled equally to all other oscillators. Read more

space junk

Space junk, algorithmic hatred and meaningless jobs – a few recent essays

Here are links to a few recent articles by LML Fellow Mark Buchanan. Read more

Non-Volcanic Tremors Blog Image

Identifying the recurrence patterns of non-volcanic tremors using a 2-D hidden Markov model

Tectonic movements create stress within the Earth’s crust, which gets released in sudden earthquakes, but also in less dramatic slow slip events. Such events are sometimes accompanied by so-called non-volcanic tremors – weak seismic signals of extended duration along major faults. Read more

Commuting environmental concerns

Do environmental concerns affect commuting choices? Hybrid choice modelling with household survey data

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

FCacioli Blog

Quantification of systemic risk from overlapping portfolios in the financial system

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

Big data blog image

Studying language evolution in the age of big data

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

Mapping Blog Image

Phase transition, scaling of moments, and order-parameter distributions in Brownian particles and branching processes with finite-size effects

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

Prediciting Chaos Blog Image

Predicting chaos with an optimal combination of data and prior knowledge

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 Blog Image LML

Synchronisation and Extreme Value Theory for Coupled Map Lattices

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

Weak Galilean invariance Blog Image

Weak Galilean invariance as a selection principle for coarse-grained diffusive models

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