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

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

2009-11-02

arxiv.org/abs/0911.0219v1

Mathematics

Probability

16pages

Scientific paper

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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