Loewner evolution
Project level: Honours
The Loewner stochastic differential equation describes the evolution of a random process on the complex plane called the Schramm-Loewner evolution (SLE). It has been found recently that important random processes on the plane are in the limit described by SLE processes. This project is about further exploring the connections between complex analysis and geometrical random objects such as self-avoiding random walks, uniform spanning trees, and creek-crossing graphs.