Conference Contribution Details
Mandatory Fields
Tom Carroll
Diffusion through random configurations of spherical obstacles in a ball
Invited lecture at The Open University
Milton Keynes, UK
Invited Seminars/Guest Lectures
2011
()
0
Optional Fields
11-NOV-11
11-NOV-11

A collection of spherical obstacles in the unit ball in Euclidean space is said to be avoidable for Brownian motion if there is a positive probability that Brownian motion diffusing from some point in the ball will avoid all the obstacles and reach the boundary of the ball. The centres of the spherical obstacles are generated according to a Poisson point process while the radius of an obstacle is a deterministic function. If avoidable configurations are generated with positive probability Lundh calls this percolation diffusion. The history of this and related problems will be described. In particular, we will describe an integral condition for percolation diffusion in terms of the intensity of the point process and the function that determines the radii of the

obstacles.
The Open University