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math.PR2007
Supercritical general branching processes conditioned on extinction are subcritical
Peter Jagers, Andreas Nordvall Lagerås
It is well known that a simple, supercritical Bienaymé-Galton-Watson process turns into a subcritical such process, if conditioned to die out. We prove that the corresponding holds…
math.PR2007
Reduced branching processes with very heavy tails
Andreas N. Lagerås, Serik Sagitov
The reduced Markov branching process is a stochastic model for the genealogy of an unstructured biological population. Its limit behavior in the critical case is well studied for t…
math.PR2007
A population model for -coalescents with neutral mutations
Andreas Nordvall Lagerås
Bertoin and Le Gall (2003) introduced a certain probability measure valued Markov process that describes the evolution of a population, such that a sample from this population woul…