December 3, 2009:  Janko Gravner (University of California, Davis)

Title: Random threshold growth and related models

Abstract:  The occupied set grows by adding points x which have at least theta already occupied points in their neighborhoods.  Such "threshold growth" models are interesting in many contexts.  For growth on an integer lattice, explicitly computable approximations can be developed when the neighborhood range is large.  Other cases will also be briefly addressed.