University of Cambridge > > Probability > Scaling limits for planar aggregation with subcritical fluctuations

Scaling limits for planar aggregation with subcritical fluctuations

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Perla Sousi.

Planar random growth processes occur widely in the physical world. Examples include diffusion-limited aggregation (DLA) for mineral deposition and the Eden model for biological cell growth. One approach to mathematically modelling such processes is to represent the randomly growing clusters as compositions of conformal mappings. In 1998, Hastings and Levitov proposed a family of such models, which includes versions of the physical processes described above. In earlier work, Norris and I showed that the scaling limit of the simplest of the Hastings-Levitov models is a growing disk. Recently, Silvestri showed that the fluctuations can be described in terms of the solution to a stochastic fractional heat equation. In this talk, I will discuss on-going work with Norris and Silvestri in which we establish scaling limits and fluctuation results for a natural generalisation of the Hastings-Levitov family.

This talk is part of the Probability series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity