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Alan Sola: Scaling limits in conformal Laplacian random growth models

Time: Wed 2019-11-13 15.15

Location: Kräftriket, house 6, room 306 (Cramér-rum)

Participating: Alan Sola, Stockholms universitet

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This talk will give an overview of joint work with A. Turner (Lancaster) and F. Viklund (KTH) on scaling limits in Laplacian random growth processes defined in terms of conformal maps. These are processes defined in terms of conformal maps of the plane where local growth at stage n depends on the derivative of the mapping function at stage \(n-1\). I will survey results obtained in the last few years on instances of these models where feedback is very weak and very strong: in the first instance, the limiting shapes under a suitable scaling are disks, and in the latter, they are one-dimensional.