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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Ferrari, P.A., Fontes, L.R.G. (1998)
Electronic Journal of Probability [electronic only]
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Rassoul-Agha, Firas (2005)
Electronic Communications in Probability [electronic only]
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Quansheng Liu (1993)
Publications mathématiques et informatique de Rennes
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Zerner, Martin P.W. (2002)
Electronic Communications in Probability [electronic only]
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Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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David J. Aldous (1983)
Séminaire de probabilités de Strasbourg
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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...
Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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J. Holzheimer (1984)
Applicationes Mathematicae
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Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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Francesco Caravenna, Loïc Chaumont (2008)
Annales de l'I.H.P. Probabilités et statistiques
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Let { be a random walk in the domain of attraction of a stable law , i.e. there exists a sequence of positive real numbers ( ) such that / converges in law to . Our main result is that the rescaled process ( / , ≥0), when conditioned to stay positive, converges in law (in the functional sense) towards the corresponding stable Lévy process conditioned to stay positive. Under some additional assumptions,...
Brodskii, R.Ye., Virchenko, Yu.P. (2006)
Abstract and Applied Analysis
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