On coincidences in renewal streams
I. Kopocińska, B. Kopociński (1987)
Applicationes Mathematicae
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I. Kopocińska, B. Kopociński (1987)
Applicationes Mathematicae
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I. Deák (1980)
Applicationes Mathematicae
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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...
Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
Electronic Journal of Probability [electronic only]
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R. Kaufman (1970)
Studia Mathematica
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N. Zygouras (2013)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a random walk in a random potential, which models a situation of a random polymer and we study the annealed and quenched costs to perform long crossings from a point to a hyperplane. These costs are measured by the so called Lyapounov norms. We identify situations where the point-to-hyperplane annealed and quenched Lyapounov norms are different. We also prove that in these cases the polymer path exhibits localization.
Zachary, Stan, Foss, S.G. (2006)
Sibirskij Matematicheskij Zhurnal
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Kifer, Yuri (1998)
Documenta Mathematica
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A. Greven (1997)
Metrika
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M.V. Menshikov, Andrew R. Wade (2006)
Journal of the European Mathematical Society
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We give criteria for ergodicity, transience and null-recurrence for the random walk in random environment on , with reflection at the origin, where the random environment is subject to a vanishing perturbation. Our results complement existing criteria for random walks in random environments and for Markov chains with asymptotically zero drift, and are significantly different from the previously studied cases. Our method is based on a martingale technique—the method of Lyapunov functions. ...
Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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G. Trybuś (1974)
Applicationes Mathematicae
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