| Limit theorems for the weighted occupation time for super-Brownian motions on H~d |
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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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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 H~d[J].Progress in Natural Science,2006,16(8). |
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| Authors: | TANG Jiashan |
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| Abstract: | 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 t 1/2, and the limit results are the Riemannian measure and some centered Gaussian random measure, respectively. |
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| Keywords: | super-Brownian motion hyperbolic space occupation time process longtime behavior |
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