Scaling limits for planar aggregation with subcritical fluctuations

19.10.2021 17:55 - 18:55

Vittoria Silvestri (Roma La Sapienza)

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 in the subcritical regime. Based on joint work with James Norris (Cambridge) and Amanda Turner (Lancaster).

M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli

HS 3, EG. OMP 1