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The Virgin Island Model

   
@article{EJP646,
	author = {Martin Hutzenthaler},
	title = {The Virgin Island Model},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {branching populations; local competition; extinction; survival; excursion measure; Virgin Island Model; Crump-Mode-Jagers process; general branching process},
	abstract = {A continuous mass population model with local competition is constructed where every emigrant colonizes an unpopulated island. The population founded by an emigrant is modeled as excursion from zero of an one-dimensional diffusion. With this excursion measure, we construct a process which we call Virgin Island Model. A necessary and sufficient condition for extinction of the total population is obtained for finite initial total mass.},
	pages = {no. 39, 1117-1161},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-646},    
        url = {http://ejp.ejpecp.org/article/view/646}}