Title: Random patterns of non-overlapping grains


Marianne Månsson 			
Mathematical Statistics			
Chalmers University of Technology


Abstract:

Some processes of non-overlapping, varying-sized grains, in particular
spheres, will be presented.  The processes are constructed in two steps:
first points are generated according to a Poisson process and grains are
placed at the points, and then the Poisson process is thinned so that
there is no overlap between grains. Some different thinning mechanisms
and properties of the resulting processes will be discussed.
The talk is based on joint work with Mats Rudemo, and its original purpose
was to construct models for defects in cast iron