Limit theorems for the weighted occupation time for super-Brownian motions on Hd
O1; 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 res...
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| Veröffentlicht in: | Progress in natural science 2006-08, Vol.16 (8), p.803-807 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | O1; 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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| ISSN: | 1002-0071 |
| DOI: | 10.1080/10020070612330072 |