| Limit theorems for the weighted occupation time for super-Brownian motions on Hd |
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| 引用本文： | TANG Jiashan. Limit theorems for the weighted occupation time for super-Brownian motions on Hd[J]. 自然科学进展(英文版), 2006, 16(8): 803-807 |
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| 作者姓名： | TANG Jiashan |
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| 作者单位： | College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China |
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| 摘 要： | Weighted occupation time processes associated with the super-Brownian motions on hyperbolic spaces are investigated. Longtime behavior and a central limit type theorem for the processes are obtained. For all dimension d≥2, the right normings for two fluctuations are t and t1/2, and the limit results are the Riemannian measure and some centered Gaussian random measure, respectively.
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| 关 键 词： | super-Brownian motion hyperbolic space occupation time process longtime behavior. |
Limit theorems for the weighted occupation time for super-Brownian motions on Hd |
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| TANG Jiashan. Limit theorems for the weighted occupation time for super-Brownian motions on Hd[J]. Progress in Natural Science, 2006, 16(8): 803-807 |
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| Authors: | TANG Jiashan |
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| Affiliation: | College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China |
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| Abstract: | |
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| Keywords: | super-Brownian motion hyperbolic space occupation time process longtime behavior. |
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