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 Abstract: 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, Ron Seminar webpage: <http://www.math.tau.ac.il/~peledron/Horowitz_seminar/Horowitz_seminar.html> --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Ron Peled <peledron@gmail.com>