Supercritical multitype branching processes: the ancestral types of typical individuals

@inproceedings{Georgii2003SupercriticalMB,
  title={Supercritical multitype branching processes: the ancestral types of typical individuals},
  author={Hans-Otto Georgii and Ellen Baake},
  year={2003}
}
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

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
23 Extracted Citations
18 Extracted References
Similar Papers

Citing Papers

Publications influenced by this paper.
Showing 1-10 of 23 extracted citations

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 18 references

The asymptotic composition of supercritical muti-type branching populations

  • P. Jagers, O. Nerman
  • In Séminaire de Probabilités XXX,
  • 1996
Highly Influential
5 Excerpts

Conceptual proofs of LlogL criteria for mean behaviour of branching processes

  • R. Lyons, R. Pemantle, Y. Peres
  • Ann. Prob
  • 1995
Highly Influential
5 Excerpts

Stabilities and instabilities in population dynamics

  • P. Jagers
  • J. Appl. Prob
  • 1992
Highly Influential
6 Excerpts

Persistence of critical multitype particle and measure branching processes

  • L. G. Gorostiza, S. Roelly, Wakolbinger
  • Probab. Theor. Relat. Fields
  • 1992

Growing conditioned trees

  • B. Chauvin, A. Rouault, A. Wakolbinger
  • Stoch . Proc . Appl .
  • 1991

General branching processes as Markov fields

  • P. Jagers
  • Stoch. Proc. Appl
  • 1989

Large Deviations

  • J. D. Deuschel, D. W. Stroock
  • École d ’ Été de Probabilités de Saint - Flour…
  • 1989

Similar Papers

Loading similar papers…