Planar aggregation and the coalescing Brownian flow

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.

39 pages, 2 figures

References in corpus (2)

• The Brownian web: Characterization and convergence
• Nonclassical stochastic flows and continuous products