Graph limit theory provides a rigorous framework for analysing sequences of large graphs by representing them as continuous objects known as graphons – symmetric measurable functions on the unit ...

The Annals of Applied Probability, Vol. 22, No. 5 (October 2012), pp. 1989-2047 (59 pages) Bootstrap percolation on the random graph G n,p is a process of spread of "activation" on a given realization ...

In this paper we consider a model for the spread of a stochastic SIR (Susceptible → Infectious → Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals ...

Population projections that talk of very high growth are welcomed by some parts of the business community and many governments. Others warn that the numbers and speed of growth will fast outpace our ...

The United States imprisons more of its population than any other nation — more than Russia, Cuba and even Rwanda. In an effort to visually show the growth in U.S. incarceration rates between 1970 and ...