The next lecture in this series is here.
Conformal growth models are motivated by some real-world growth processes, and are constructed using conformal maps. We will introduce the one-parameter Hastings–Levitov model, which is used to describe Laplacian growth and allows us to vary between off-lattice versions of many well studied models. Then we investigate the “small particle” scaling limit, which often entails finding a martingale and relating its behaviour to its analogue for the proposed continuum limit.
This video is part of the London Mathematical Society‘s Online Graduate Lecture Series. These are supported by the LMS, and organized by PiNE (Probability in the North East).