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Catalytic Discrete State Branching Models and Related Limit Theorems |
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| Authors: | Zenghu Li Chunhua Ma |
| Affiliation: | (1) School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China;(2) School of Mathematical Sciences, Nankai University, Tianjin, 300071, People’s Republic of China |
| Abstract: | Catalytic discrete state branching processes with immigration are defined as strong solutions of stochastic integral equations. We provide main limit theorems of those processes using different scalings. The class of limit processes of the theorems includes essentially all continuous state catalytic branching processes and spectrally positive regular affine processes. |
| Keywords: | Catalytic branching process Affine process Immigration White noise Poisson random measure Limit theorem |
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