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Variational characterization of multitype Galton-Watson branching processes
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Wang, Ying (2014) Variational characterization of multitype Galton-Watson branching processes. Acta Mathematicae Applicatae Sinica, English Series, Volume 30 (Number 1). pp. 27-36. doi:10.1007/s10255-014-0266-2 ISSN 0168-9673.
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Official URL: http://dx.doi.org/10.1007/s10255-014-0266-2
Abstract
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.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Chemistry | ||||||||
Journal or Publication Title: | Acta Mathematicae Applicatae Sinica, English Series | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0168-9673 | ||||||||
Official Date: | 26 April 2014 | ||||||||
Dates: |
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Volume: | Volume 30 | ||||||||
Number: | Number 1 | ||||||||
Page Range: | pp. 27-36 | ||||||||
DOI: | 10.1007/s10255-014-0266-2 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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