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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Displaying similar documents to “Positively and negatively excited random walks on integers, with branching processes.”
The longtime behavior of branching random walk in a catalytic medium.
Fluctuations of a surface submitted to a random average process.
Ferrari, P.A., Fontes, L.R.G. (1998)
Electronic Journal of Probability [electronic only]
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On the zero-one law and the law of large numbers for random walk in mixing random environment.
Rassoul-Agha, Firas (2005)
Electronic Communications in Probability [electronic only]
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Discrete random processes with memory: Models and applications
Tomáš Kouřim, Petr Volf (2020)
Applications of Mathematics
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The contribution focuses on Bernoulli-like random walks, where the past events significantly affect the walk's future development. The main concern of the paper is therefore the formulation of models describing the dependence of transition probabilities on the process history. Such an impact can be incorporated explicitly and transition probabilities modulated using a few parameters reflecting the current state of the walk as well as the information about the past path. The behavior...
On the Survival Probability of a Branching Process in a Random Environment
Quansheng Liu (1993)
Publications mathématiques et informatique de Rennes
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A non-ballistic law of large numbers for random walks in i. i. d. random environment.
Zerner, Martin P.W. (2002)
Electronic Communications in Probability [electronic only]
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On the domination of a random walk on a discrete cylinder by random interlacements.
Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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Random walks on finite groups and rapidly mixing Markov chains
David J. Aldous (1983)
Séminaire de probabilités de Strasbourg
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Conditional limit theorems for intermediately subcritical branching processes in random environment
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...
Central limit theorem for the excited random walk in dimension .
Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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φ-branching processes in a random environment
J. Holzheimer (1984)
Applicationes Mathematicae
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The scaling limit of senile reinforced random walk.
Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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Invariance principles for random walks conditioned to stay positive
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,...