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Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits |
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| Authors: | D. A. Dawson Z. Li X. Zhou |
| Affiliation: | (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;(3) Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal, Canada, H4B 1R6 |
| Abstract: | A Superprocess with coalescing spatial motion is constructed in terms of one-dimensional excursions. Based on this construction, it is proved that the superprocess is purely atomic and arises as scaling limit of a special form of the superprocess with dependent spatial motion studied in Dawson et al. (Refs. 5, 19–20). |
| Keywords: | Superprocess coalescing spatial motion excursions scaling limit Poisson random measure |
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