College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
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.