The longtime behavior of branching random walk in a catalytic medium.
Greven, A., Klenke, A., Wakolbinger, A. (1999)
Electronic Journal of Probability [electronic only]
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Greven, A., Klenke, A., Wakolbinger, A. (1999)
Electronic Journal of Probability [electronic only]
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Bertoin, Jean, Gnedin, Alexander V. (2004)
Electronic Journal of Probability [electronic only]
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Engländer, János (2007)
Probability Surveys [electronic only]
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Birkner, Matthias, Blath, Jochen (2009)
Electronic Journal of Probability [electronic only]
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Dawson, Donald A., Greven, Andreas (1996)
Electronic Journal of Probability [electronic only]
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V. I. Afanasyev, Ch. Böinghoff, G. Kersting, V. A. Vatutin (2014)
Annales de l'I.H.P. Probabilités et statistiques
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For a branching process in random environment it is assumed that the offspring distribution of the individuals varies in a random fashion, independently from one generation to the other. For the subcritical regime a kind of phase transition appears. In this paper we study the intermediately subcritical case, which constitutes the borderline within this phase transition. We study the asymptotic behavior of the survival probability. Next the size of the population and the shape of the...
Biggins, J.D., Kyprianou, A.E. (2005)
Electronic Journal of Probability [electronic only]
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Greven, Andreas, Limic, Vlada, Winter, Anita (2005)
Electronic Journal of Probability [electronic only]
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González, Miguel, del Puerto, Inés Maria (2010)
Boletín de Estadística e Investigación Operativa
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Birkner, Matthias, Blath, Jochen, Capaldo, Marcella, Etheridge, Alison M., Möhle, Martin, Schweinsberg, Jason, Wakolbinger, Anton (2005)
Electronic Journal of Probability [electronic only]
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Romain Abraham, Jean-François Delmas (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider an initial population whose size evolves according to a continuous state branching process. Then we add to this process an immigration (with the same branching mechanism as the initial population), in such a way that the immigration rate is proportional to the whole population size. We prove this continuous state branching process with immigration proportional to its own size is itself a continuous state branching process. By considering the immigration as the apparition...
Quansheng Liu (1993)
Publications mathématiques et informatique de Rennes
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Dawson, Donald A., Greven, Andreas (2003)
Electronic Journal of Probability [electronic only]
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