Anita Winter
University of Erlangen
Title: Spatial coalescents arising in the study of diffusive clustering.
We consider the spatial coalescents on Z^2. Here partition elements which are located at the same lattice site coalesce into one partition element after exponential waiting times. In addition, the partition elements perform independent random walks. In this talk we determine the longtime behavior with an initial population of countably many individuals per site restricted to a box [-t^{alpha/2}, t^{alpha/2}]^2 in Z^2 and observed at time t^beta with beta in [alpha, 1] for a positive alpha.

This is joint work with Andreas Greven and Vlada Limic.

©2008, Department of Mathematical Sciences
Last Modified: September 16, 2008