Scaling limits for anisotropic Hastings-Levitov type clusters

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• Alan Sola (Cambridge)
• Tuesday 31 January 2012, 14:15-15:15
• MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.

If you have a question about this talk, please contact grg1000.

My talk will be devoted to certain planar random growth processes defined in terms of iteration of conformal maps. The models I will consider differ from the usual Hastings-Levitov models of aggregation in that preferred directions in the growth are present.

I will discuss both global rescalings and small-particle scaling limits, and I will indicate how the limit objects that arise can be described using the Loewner equation.

(Talk based on joint work with F. Johansson Viklund and A. Turner.)

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