Asymptotic estimates of SARS-CoV-2 infection counts and their sensitivity to stochastic perturbation

Since the outbreak of the coronavirus, modellers from around the world have scrambled to predict the course of its spread, projecting forward from data on past infections and deaths in any region. Such estimates help public health officials and governments to judge the possible risks they face, and, on their basis, many nations have imposed restrictive social confinement measures. Read more

The effect of social balance on social fragmentation

Nations and communities typically function as relatively coherent groups, yet also occasionally fall apart or fragment into highly polarised sub-groups. Read more

Phase transitions in atypical systems induced by a condensation transition on graphs

Random graphs can undergo structural phase transitions as a function of their model parameters. For example, in the well-known percolation transition, a network-spanning cluster of linked nodes abruptly appears at a critical value of the probability, c, for a link to exist between any pair of nodes. Read more

A percolation model for the emergence of the Bitcoin Lightning Network

The distributed ledger system known as blockchain has triggered a revolution in the payments industry, and is the technological infrastructure underlying cryptocurrencies such as Bitcoin. Even so, the blockchain concept itself faces some limitations which may hinder its future growth and adoption. Read more

Approximate Uncertain Programs

Uncertain programs are optimization problems involving uncertainties in constraints or objectives. In the past few decades, such programs have been applied in areas from economics and management to automotive control and machine learning. Read more

LML - Covid-19 Articles Update

General resource: useful articles on the SARS-CoV-2 coronavirus pandemic (last updated 8 April 2020)

This blog post lists some further  articles and scientific papers which may be of interest in following the unfolding coronavirus epidemic. It has been assembled from suggestions made by LML Fellows and associates. Read more

General resource: useful articles on the SARS-CoV-2 coronavirus pandemic (last updated 31 March 2020)

This blog post lists a number of articles and scientific papers which may be of interest in following the unfolding coronavirus epidemic. It has been assembled from suggestions made by LML Fellows and associates. Read more

General resource: useful articles on the SARS-CoV-2 coronavirus pandemic (last updated 24 March 2020)

This blog post lists a number of articles and scientific papers which may be of interest in following the unfolding coronavirus epidemic. It has been assembled from suggestions made by LML Fellows and associates. Read more

Escape from model-land

Policy makers in areas ranging from public health to weather forecasting or economics rely on mathematical models to inform their decisions. As models grow more complex and powerful, one might expect, they should contribute to better decisions. Read more

Machines learn from biology, the speed of coronavirus and how to build an ethical self-driving ca

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