Fluctuation limits of the super-Brownian motion with a single point catalyst

Zenghu Li; Li Wang

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arXiv · 0911.0219

Fluctuation limits of the super-Brownian motion with a single point catalyst

Zenghu Li·Li Wang

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Abstract

We prove a fluctuating limit theorem of a sequence of super-Brownian motions over $\mbb{R}$ with a single point catalyst. The weak convergence of the processes on the space of Schwarz distributions is established. The limiting process is an Ornstein-Uhlenbeck type process solving a Langevin type equation driven by a one-dimensional Brownian motion.

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Zenghu Li, Li Wang. 2009-11-02. Fluctuation limits of the super-Brownian motion with a single point catalyst. https://arxiv.org/abs/0911.0219

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