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.

Project members

Professor Dirk Kroese

School of Mathematics and Physics