Planar aggregation with subcritical fluctuations and the Hastings-Levitov models – Vittoria Silvestri (Università di Roma La Sapienza)


Sala Seminari


The ALE (Aggregate Loewner Evolution) models describe growing random clusters on the complex plane, built by iterated composition of random conformal maps. A striking feature of these models is that they can be used to define natural off-lattice analogues of several fundamental discrete models, such as Eden or  Diffusion Limited Aggregation, by tuning the correlation between the defining maps appropriately. In this talk I will discuss shape theorems and fluctuations of ALE clusters, which include Hastings-Levitov clusters as particular cases, in the subcritical regime. Based on joint work with James Norris and Amanda Turner.

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