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Analysis Seminar


SPEAKER: Prof. Alan Sola, Cambridge UK

TITLE: Scaling limits in a regularized Laplacian growth model

ABSTRACT: I will report on joint work with F. Viklund (Uppsala) and A. Turner (Lancaster) on a regularized version of the Hastings-Levitov conformal mapping model of Laplacian random growth. In addition to the usual feedback parameter $alpha>0$, this regularized version features a smoothing parameter $sigma>0$.

We prove convergence of random clusters, in the limit as the size of the individual aggregating particles tends to zero, to deterministic limits, provided the smoothing parameter does not tend to zero too fast. We also

study scaling limits of the harmonic measure flow on the boundary, and show that it can be described in terms of stopped Brownian webs on the circle.

Wednesday, 26 March, 2014


Contact:

Betty Morgan

Phone: 974-2463

Ayres Hall

Room 112
1403 Circle Drive
Knoxville, TN 37996
USA
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