Limit theorems for the weighted occupation time for super-Brownian motions on Hd
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.
作 者： TANG Jiashan 作者单位： College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China 刊 名： 自然科学进展（英文版） SCI 英文刊名： PROGRESS IN NATURAL SCIENCE 年，卷(期)： 2006 16(8) 分类号： O1 关键词： super-Brownian motion hyperbolic space occupation time process longtime behavior