Stochastic flows, panar aggregation and the Brownian web

30 April 2007
Dr Amanda Turner
  Diffusion limited aggregation (DLA) is a random growth model which was originally introduced in 1981 by Witten and Sander. This model is prevalent in nature and has many applications in the physical sciences as well as industrial processes. Unfortunately it is notoriously difficult to understand, and only one rigorous result has been proved in the last 25 years. We consider a simplified version of DLA known as the Eden model which can be used to describe the growth of cancer cells, and show that under certain scaling conditions this model gives rise to a limit object known as the Brownian web.
  • Stochastic Analysis Seminar