Variational characterization of multitype Galton-Watson branching processes
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In this paper, we give a variational characterization for the growth rate of a multitype population modelled by a multitype Galton-Watson branching process. In particular, the so-called retrospective process plays an important role in the description of the equilibrium state used in the variational characterization. We define the retrospective process associated with a multitype Galton-Watson branching process and identify it with the mutation process describing the type evolution along typical lineages of the multitype Galton-Watson branching process.
Keywordsmultitype branching processes retrospective processes variational analysis equilibrium states large deviations
2000 MR Subject Classification60J80 90C46 15A18
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