Breadcrumb
Geometric properties of Wiener sausages
Supervisor: Michiel van den Berg
Theme: Analysis and Partial Differential Equations
A Wiener sausage is a random set obtained, for example, by moving the center of a disc along a Brownian path {B(s): 0<s<t}. The geometry of the Wiener sausage is of importance in many different areas of mathematics and physics. This project is concerned with the Wiener sausage up to time t constructed by moving a second Brownian path {W(s): 0<s<t} along {B(s): 0<s<t}, where B and W are independent. The geometric properties of this Wiener sausage are of great interest in the study of heat flow in regions with fractal boundaries, and provide serious challenges.