The compact support property for measure-valued processes
János Engländer, Ross G. Pinsky (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Displaying similar documents to “Law of large numbers for a class of superdiffusions”
The compact support property for measure-valued processes
Law of large numbers for superdiffusions : the non-ergodic case
János Engländer (2009)
Annales de l'I.H.P. Probabilités et statistiques
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In previous work of D. Turaev, A. Winter and the author, the Law of Large Numbers for the local mass of certain superdiffusions was proved under an ergodicity assumption. In this paper we go beyond ergodicity, that is we consider cases when the scaling for the expectation of the local mass is not purely exponential. , we prove the analog of the Watanabe–Biggins LLN for super-brownian motion.
One-dimensional diffusion in an asymmetric random environment
Dimitrios Cheliotis (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Branching diffusions, superdiffusions and random media.
Engländer, János (2007)
Probability Surveys [electronic only]
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On long time almost sure asymptotics of renormalized branching diffusion processes
Nicolas Fournier, Bernard Roynette (2003)
Annales de l'I.H.P. Probabilités et statistiques
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On homogenization of space-time dependent and degenerate random flows II
Rémi Rhodes (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We study the long time behavior (homogenization) of a diffusion in random medium with time and space dependent coefficients. The diffusion coefficient may degenerate. In (2007) (to appear), an invariance principle is proved for the critical rescaling of the diffusion. Here, we generalize this approach to diffusions whose space-time scaling differs from the critical one.