Colloquium
3:00 p.m., Friday (September 30, 2005)
Math Annex 1100
Vlada Limic
UBC
Lambdacoalescent processes and genealogies
The talk concerns several aspects of a class of stochastic coalescent processes.
These coalescents arise as scaling limits in mathematical population genetics
models. They are ``duals" to measurevalued processes known as (generalized)
FlemingViot processes. In special cases the correspondence between the genealogical
process of a (super) diffusion and a coalescent process is well known. The spatial
(or structured) coalescents are particularly important in the study of asymptotic
behavior of a class of interacting particle systems and the corresponding scaling
limits.
I will attempt to describe most of the above relations in the intuitive ``particle
representation" setting. Some interesting properties of (spatial) Lambdacoalescents
will be discussed, as well as very interesting consequences for the asymptotics of
the related interacting particle systems and their scaling limits.
Refreshments will be served at 2:45 p.m. (MATX 1115, Math Lounge).
