Growth processes. Lecture 3

Remarks about strike and bump models of Hasting-Levitov. Examples of Lowner processes driven by functions. Proof of the Carleson-Makarov theorem: for regularized HS(2) estimate diam(K_t)<=c*t^(2/3) is true, where K_t - increasing compacts. Generalization for HS(\alpha), where alpha>=1.