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SUMMARY:Planar aggregation with subcritical fluctuations and the Hastings-
 Levitov models - Vittoria Silvestri (Università di Roma La Sapienza)
DTSTART:20220907T103000Z
DTEND:20220907T113000Z
UID:TALK178490@talks.cam.ac.uk
CONTACT:Jason Miller
DESCRIPTION:The ALE (Aggregate Loewner Evolution) models describe growing 
 random clusters on the complex plane\, built by iterated composition of ra
 ndom conformal maps. A striking feature of these  models is that they can 
 be used to define natural off-lattice  analogues of several fundamental di
 screte 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 incl
 ude  Hastings-Levitov clusters as particular cases\, in the subcritical  r
 egime. (Based on joint work with James Norris and Amanda Turner.)
LOCATION:MR9\, Centre for Mathematical Sciences
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