Amanda Turner: Hastings-Levitov aggregation in the small-particle limit
Tid: To 2011-12-01 kl 15.30 - 16.30
Plats: Institut Mittag-Leffler, Auravägen 17, Djursholm
In 1998 Hastings and Levitov proposed a model for planar random growth in which clusters are represented as compositions of conformal mappings. I shall describe the limits that result from small particle size and rapid aggregation, in the case alpha=0. 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).