On the zeroes of some random functions
R. Kaufman (1970)
Studia Mathematica
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R. Kaufman (1970)
Studia Mathematica
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Lozanov-Crvenković, Z., Pilipović, S. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Mustafa, Ghulam, Nosh, Nusrat Anjum, Rashid, Abdur (2005)
Lobachevskii Journal of Mathematics
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Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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G. Trybuś (1974)
Applicationes Mathematicae
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W. Dziubdziela (1976)
Applicationes Mathematicae
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Zhu, Chuanxi, Xu, Zongben (2002)
International Journal of Mathematics and Mathematical Sciences
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I. Deák (1980)
Applicationes Mathematicae
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Kifer, Yuri (1998)
Documenta Mathematica
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Z. Lozanov-Crvenković, Stevan Pilipović (1989)
Publications de l'Institut Mathématique
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J. Holzheimer (1984)
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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.
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...
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...