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arxiv: 0810.0211 · v1 · submitted 2008-10-01 · 🧮 math.PR · math-ph· math.MP

Planar aggregation and the coalescing Brownian flow

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keywords aggregationbrowniancoalescingflowmodelplanarassociatedboundary
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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.

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