Supercritical multitype branching processes: the ancestral types of typical individuals

  title={Supercritical multitype branching processes: the ancestral types of typical individuals},
  author={Hans-Otto Georgii and Ellen Baake},
For supercritical multitype Markov branching processes in continuous time, we investigate the evolution of types along those lineages that survive up to some time t. We establish almost-sure convergence theorems for both time and population averages of ancestral types (conditioned on non-extinction), and identify the mutation process describing the type evolution along typical lineages. An important tool is a representation of the family tree in terms of a suitable size-biased tree with trunk… CONTINUE READING

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