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SUMMARY:Fluctuation results for the outer domain of Hastings-Levitov clust
 ers - Vittoria Silvestri (CCA)
DTSTART:20160127T160000Z
DTEND:20160127T170000Z
UID:TALK64046@talks.cam.ac.uk
CONTACT:Mr Simone Parisotto
DESCRIPTION:This talk focuses on a stochastic process on the space of holo
 morphic functions\, which describes the growth of a random cluster on the 
 complex plane. As a warm up\, I will start by briefly discussing some disc
 rete random growth models\, such as the Eden model\, DLA and Internal DLA.
  I will then define a continuum growth model\, so called Hastings-Levitov\
 , together with a stochastic process on the space of holomorphic functions
  which uniquely encodes it. Of this process I will discuss scaling limit a
 nd fluctuations\, showing that the latter are given by a Gaussian holomorp
 hic function which can be explicitly constructed. I will then conclude the
  talk by presenting some open questions.
LOCATION:MR14\, Centre for Mathematical Sciences
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