Planar aggregation and the Brownian web

Turner, Amanda (2009) Planar aggregation and the Brownian web. In: Proceedings of the 16th European Young Statisticians Meeting :. UNSPECIFIED, pp. 93-97.

[thumbnail of amandaturner_paper]
Preview
PDF (amandaturner_paper)
amandaturner_paper.pdf - Submitted Version

Download (591kB)

Abstract

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. We consider a simplified version of DLA known as the Hastings-Levitov HL(0) model, and show that under certain scaling conditions this model gives rise to a limit object known as the Brownian web.

Item Type:
Contribution in Book/Report/Proceedings
Subjects:
?? brownian webrandom growth modeldiffusion-limited aggregationconformal mappingstochastic flow ??
ID Code:
72053
Deposited By:
Deposited On:
05 Dec 2014 16:48
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Jan 2024 00:25