Dear all,
This week at the Horowitz seminar on Probability, Ergodic Theory and
Dynamical Systems at Tel Aviv University we are happy to have:
Speaker: Tom Ellis, University of Cambridge
Title: From Diffusion Limited Aggregation to the Brownian Web via
Conformal Mappings
Date: Monday, February 28
Time: 14:30
Place: Schreiber 309
Diffusion Limited Aggregation (DLA) is a planar growth model where the
rate of growth at a point on the boundary of a cluster is proportional to
the harmonic measure there. I will define the Hastings-Levitov growth
models which approximate DLA, and show how they use ideas of conformal
invariance which are analogous to those from the celebrated area of
Schramm-Loewner Evolution.
I will demonstrate how the evolution of the harmonic measure on the
cluster boundary corresponds to a stochastic flow, and will explain why
-- in a suitable scaling limit -- the flow converges to an independent
system of coalescing Brownion motions, known as the Brownian web.  
Best regards,
Seminar webpage:
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <> 
Announcement from: Ron Peled   <>