Displaying similar documents to “Law of large numbers for superdiffusions : the non-ergodic case”

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...

Hiding a constant drift

Vilmos Prokaj, Miklós Rásonyi, Walter Schachermayer (2011)

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

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The following question is due to Marc Yor: Let be a brownian motion and =+ . Can we define an -predictable process such that the resulting stochastic integral (⋅) is a brownian motion (without drift) in its own filtration, i.e. an -brownian motion? In this paper we show that by dropping the requirement of -predictability of we can give a positive answer to this question. In other words, we are able to show that there is a weak solution to Yor’s question....