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...