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On the weak convergence of super-Brownian motion with immigration |
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| Authors: | Mei Zhang |
| Institution: | ZHANG Mei School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China |
| Abstract: | We prove fluctuation limit theorems for the occupation times of super-Brownian motion with immigration. The weak convergence of the processes is established, which improves the results in references. The limiting processes are Gaussian processes. |
| Keywords: | super-Brownian motion with immigration occupation time process central limit the-orem tightness |
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