Central Limit Theorems for a Super-Diffusion over a Stochastic Flow |
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| Authors: | Mei Zhang |
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| Institution: | (1) School of Mathematical Science, Beijing Normal University, Beijing, 100875, People’s Republic of China;(2) Department of Mathematics, University of Minnesota, Minneapolis, USA;(3) Depts. of EE and Math., Technion, Haifa, Israel |
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| Abstract: | Central limit theorems of the occupation time of a superprocess over a stochastic flow are proved. For the critical and higher
dimensions d≥4, the limits are Gaussian variables. For d=3, the limit is conditional Gaussian. When the stochastic flow disappears, the results degenerate to those for the ordinary
super-Brownian motion. |
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