Limiting distributions for a class of super-Brownian motions with spatially dependent branching mechanisms
Super-Brownian motion is a particular class of superprocesses that serve as stochastic models for the evolution of a random mass distributed in space. In this paper, the authors establish the almost sure growth rate of the mass located outside a time-dependent interval \((-\delta t,\delta t)\) for \(\delta>0\). This growth rate is characterized in terms of the principal eigenvalue of a Schrödinger-type operator associated with the branching mechanism. The paper also includes additional related results.
scientific article; zbMATH DE number 7900855
scientific article