On the convergence of multitype branching processes with varying environments
Jones, Owen Dafydd
Ann. Appl. Probab., Tome 7 (1997) no. 1, p. 772-801 / Harvested from Project Euclid
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Using the ergodic theory of nonnegative matrices, conditions are obtained for the $L^2$ and almost sure convergence of a supercritical multitype branching process with varying environment, normed by its mean. We also give conditions for the extinction probability of the limit to equal that of the process. ¶ The theory developed allows for different types to grow at different rates, and an example of this is given, taken from the construction of a spatially inhomogeneous diffusion on the Sierpinski gasket.
Publié le : 1997-08-14
Classification:  Branching process,  multitype,  varying environment,  ergodic matrix products,  60J80,  15A48 
@article{1034801253,
     author = {Jones, Owen Dafydd},
     title = {On the convergence of multitype branching processes with varying
		 environments},
     journal = {Ann. Appl. Probab.},
     volume = {7},
     number = {1},
     year = {1997},
     pages = { 772-801},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1034801253}
}

Jones, Owen Dafydd. On the convergence of multitype branching processes with varying
		 environments. Ann. Appl. Probab., Tome 7 (1997) no. 1, pp.  772-801. http://gdmltest.u-ga.fr/item/1034801253/