Seminar at SMU Delhi
January 4, 2012 (Wednesday) ,
3:30 PM at Webinar
University of Lancaster
Hastings-Levitov aggregation and the Brownian web
Abstract of Talk
In 1998 Hastings and Levitov proposed a family of models for planar random growth in which clusters are represented as compositions of conformal mappings. This family includes physically occurring processes such as diffusion-limited aggregation, dielectric breakdown and the Eden model for biological cell growth. I shall describe the limits that result from small particle size and rapid aggregation in a special case of this model. In particular I shall show how the Brownian web arises in a limit of the fine scale branching structure that is present within the cluster.
This is based on joint work with James Norris (Cambridge University).