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Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions |
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| Authors: | Dawson Donald A Li Zenghu |
| Institution: | (1) School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, Canada, K1S 5B6;(2) Department of Mathematics, Beijing Normal University, Beijing, 100875, People's Republic of China |
| Abstract: | A superprocess with dependent spatial motion and interactive immigration is constructed as the pathwise unique solution of a stochastic integral equation carried by a stochastic flow and driven by Poisson processes of one-dimensional excursions. Supported by an NSERC Research Grant and a Max Planck Award.Supported by the NSFC (No. 10121101 and No. 10131040).Mathematics Subject Classification (2000): Primary 60J80; Secondary 60G57 60H20 |
| Keywords: | Superprocess Dependent spatial motion Immigration Excursion Stochastic equation Poisson random measure |
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