November 4, 2009
Kimmo Eriksson (MdH): Limiting shapes of birth-and-death processes on Young diagrams
Abstract:
I will present joint work with Jonas Sjöstrand where we consider a family
of birth processes and birth-and-death processes on Young diagrams of integer
partitions of $n$. This family incorporates three famous models from very different
fields: Rost's totally asymmetric particle model (in discrete time), Simon's urban
growth model, and Moran's infinite alleles model. We study stationary distributions
and limit shapes as $n$ tends to infinity.