Planar aggregation and the coalescing Brownian flow.

Norris, James and Turner, Amanda (2008) Planar aggregation and the coalescing Brownian flow. arxiv.org.

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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.

Item Type:

Journal Article

Journal or Publication Title:

arxiv.org

Uncontrolled Keywords:

/dk/atira/pure/researchoutput/libraryofcongress/qa

Subjects:

?? qa mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

13887

Deposited By:

Dr Amanda Turner

Deposited On:

08 Oct 2008 08:49

Refereed?:

Published?:

Published

Last Modified:

26 Dec 2024 01:12

URI:

https://eprints.lancs.ac.uk/id/eprint/13887