Planar aggregation and the coalescing Brownian flow
Probability
2008-10-02 v1 Mathematical Physics
math.MP
Abstract
We study a scaling limit associated to a model of planar aggregation. The model is obtained by composing certain independent random conformal maps. The evolution of harmonic measure on the boundary of the cluster is shown to converge to the coalescing Brownian flow.
Keywords
Cite
@article{arxiv.0810.0211,
title = {Planar aggregation and the coalescing Brownian flow},
author = {James Norris and Amanda Turner},
journal= {arXiv preprint arXiv:0810.0211},
year = {2008}
}
Comments
39 pages, 2 figures