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Applied Math and Comp Sci Colloquium

Friday, February 8, 2019 - 2:00pm

Govind Menon

Brown University/Institute for Advanced Study


University of Pennsylvania


The goal of this talk is to explain a new method for building conformal maps with random, continuous branching. Our work was motivated in part by the vast gap between the physical and mathematical literature on  fundamental lattice models such as DLA (diffusion limited aggregation). The main virtue of our method — which combines Loewner evolution with the theory of continuous state branching processes — is that it provides good candidates for scaling limits. The simplest of these, the Dyson superprocess, is described by a stochastic PDE which is easy to state.