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Limit theorems for flows of branching processes |
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| Authors: | Hui He Rugang Ma |
| Affiliation: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China; 2. School of Applied Mathematics, Central University of Finance and Economics, Beijing 100081, China |
| Abstract: | We construct two kinds of stochastic flows of discrete Galton-Watson branching processes. Some scaling limit theorems for the flows are proved, which lead to local and nonlocal branching superprocesses over the positive half line. |
| Keywords: | Stochastic flow Galton-Watson branching process continuous- state branching process superprocess nonlocal branching |
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