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SUMMARY:Scaling limits for planar aggregation with subcritical fluctuation
 s - Amanda Turner (Lancaster)
DTSTART:20190122T163000Z
DTEND:20190122T173000Z
UID:TALK117322@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Planar random growth processes occur widely in the physical wo
 rld. Examples include diffusion-limited aggregation (DLA) for mineral depo
 sition and the Eden model for biological cell growth. One approach to math
 ematically modelling such processes is to represent the randomly growing c
 lusters as compositions of conformal mappings. In 1998\, Hastings and Levi
 tov proposed a family of such models\, which includes versions of the phys
 ical processes described above. In earlier work\, Norris and I showed that
  the scaling limit of the simplest of the Hastings-Levitov models is a gro
 wing disk. Recently\, Silvestri showed that the fluctuations can be descri
 bed in terms of the solution to a stochastic fractional heat equation. In 
 this talk\, I will discuss on-going work with Norris and Silvestri in whic
 h we establish scaling limits and fluctuation results for a natural genera
 lisation of the Hastings-Levitov family.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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