Supercritical multitype branching processes: the backward view

  • Hans-Otto Georgii (LMU München)
A3 01 (Sophus-Lie room)


For supercritical multitype Markov branching processes in continuous time, I consider the type evolution along the lineage leading to a randomly chosen individual living at time $t$.

The main results are almost-sure convergence theorems for both time and population averages of ancestral types (conditioned on non- extinction), and the identification of the mutation process describing the type evolution along such lineages. Important tools are a representation of the family tree in terms of a suitable size-biased tree with trunk, and large deviation theory.

11/20/06 1/26/09

Oberseminar Statistical Mechanics

Universität Leipzig Felix-Klein-Hörsaal

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail