Invariance principle for the maximal position process of branching Brownian motion in random environment
Abstract
In this paper we study the maximal position process of branching Brownian motion in random spatial environment. The random environment is given by a process = ((x))x∈R satisfying certain conditions. We show that the maximum position Mt of particles alive at time t satisfies a quenched strong law of large numbers and an annealed invariance principle.
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