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).

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

HS 3, EG. OMP 1