Limiting distributions for a class of super-Brownian motions with spatially dependent branching mechanisms (Q6592146)
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scientific article; zbMATH DE number 7900855
| Language | Label | Description | Also known as |
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| English | Limiting distributions for a class of super-Brownian motions with spatially dependent branching mechanisms |
scientific article; zbMATH DE number 7900855 |
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Limiting distributions for a class of super-Brownian motions with spatially dependent branching mechanisms (English)
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24 August 2024
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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.
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super-Brownian motion
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spatially dependent branching mechanism
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growth rate
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convergence in distribution
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