Functional Central Limit Theorem for the Super-Brownian Motion with Super-Brownian Immigration
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The functional central limit theorems are proved for super-Brownian motion with immigration and their occupation time processes. For the lower dimensions, the limiting processes are Gaussian processes; For the critical dimension, the limiting processes consist of two ingredient processes of different types. Interestingly, for the higher dimensions, the limiting process for the occupation time process is of a new type.
Keywordssuper-Brownian motion with super-Brownian immigration the occupation time process central limit theorem evolution equation
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