Peer-Reviewed Journal Details
Mandatory Fields
Tom Carroll, Julie O'Donovan and Joaquim Ortega-Cerdà
2012
Stochastic Processes and Their Applications
On Lundh's percolation diffusion
In Press
()
Optional Fields
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.
An integral condition for percolation diffusion is derived in terms of  the
intensity of the point process and the function that determines the radii of the
obstacles.

0304-4149
http://dx.doi.org/10.1016/j.spa.2011.12.010
Grant Details