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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Displaying similar documents to “φ-branching processes in a random environment”
On the Survival Probability of a Branching Process in a Random Environment
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...
Random processes associated with random points on a line
S. K. Srinivasan, K. S. S. Iyer (1965)
Applicationes Mathematicae
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Generalized random processes on the Zemanian space .
Lozanov-Crvenković, Z., Pilipović, S. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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On algorithmical testing tables of random numbers.
D. Banjevic, Z. Ivkovic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Some applications of Tauberian theorems in probability theory.
Yakymiv, A.L. (2002)
Publications de l'Institut Mathématique. Nouvelle Série
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Perturbing transient random walk in a random environment with cookies of maximal strength
Elisabeth Bauernschubert (2013)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a left-transient random walk in a random environment on that will be disturbed by cookies inducing a drift to the right of strength 1. The number of cookies per site is i.i.d. and independent of the environment. Criteria for recurrence and transience of the random walk are obtained. For this purpose we use subcritical branching processes in random environments with immigration and formulate criteria for recurrence and transience for these processes.
Random dynamics and its applications.
Kifer, Yuri (1998)
Documenta Mathematica
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Scaling of a random walk on a supercritical contact process
F. den Hollander, R. S. dos Santos (2014)
Annales de l'I.H.P. Probabilités et statistiques
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We prove a strong law of large numbers for a one-dimensional random walk in a dynamic random environment given by a supercritical contact process in equilibrium. The proof uses a coupling argument based on the observation that the random walk eventually gets trapped inside the union of space–time cones contained in the infection clusters generated by single infections. In the case where the local drifts of the random walk are smaller than the speed at which infection clusters grow, the...
Cluster continuous time random walks
Agnieszka Jurlewicz, Mark M. Meerschaert, Hans-Peter Scheffler (2011)
Studia Mathematica
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In a continuous time random walk (CTRW), a random waiting time precedes each random jump. The CTRW model is useful in physics, to model diffusing particles. Its scaling limit is a time-changed process, whose densities solve an anomalous diffusion equation. This paper develops limit theory and governing equations for cluster CTRW, in which a random number of jumps cluster together into a single jump. The clustering introduces a dependence between the waiting times and jumps that significantly...
On the exact distributional asymptotics for the supremum of a random walk with increments in a class of light-tailed distribution.
Zachary, Stan, Foss, S.G. (2006)
Sibirskij Matematicheskij Zhurnal
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On the paradox of n random variables
S. Trybuła (1965)
Applicationes Mathematicae
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On the paradox of three random variables
S. Trybuła (1961)
Applicationes Mathematicae
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Probability and Random Processes, amd G. R. Grimmett, D. R. Strizacker: Probability and Random Processes, Problems and Solutions - G. R. Grimmett; D. R. Stirzacker.
R. Schaßberger (1994)
Metrika
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Central limit theorems for the products of random matrices sampled by a random walk.
Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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On the probabilistic properties of the solution of random integral equations
Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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On fully coupled continuous time random walks
W. Szczotka, P. Żebrowski (2012)
Applicationes Mathematicae
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Continuous time random walks with jump sizes equal to the corresponding waiting times for jumps are considered. Sufficient conditions for the weak convergence of such processes are established and the limiting processes are identified. Furthermore one-dimensional distributions of the limiting processes are given under an additional assumption.