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Displaying similar documents to “Travelling wave solutions to the K-P-P equation : alternatives to Simon Harris' probabilistic analysis”

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.

Quenched law of large numbers for branching brownian motion in a random medium

János Engländer (2008)

Annales de l'I.H.P. Probabilités et statistiques

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We study a spatial branching model, where the underlying motion is -dimensional (≥1) brownian motion and the branching rate is affected by a random collection of reproduction suppressing sets dubbed . The main result of this paper is the quenched law of large numbers for the population for all ≥1. We also show that the branching brownian motion with mild obstacles than ordinary branching brownian motion by giving an upper estimate on its speed. When the underlying motion is an arbitrary...