Abstract
The catalytic super-Brownian motion has been considered. If both the catalytic medium process 2 and CSBM started with Lebesgue measure λ, the central limit theorem for occupation time of CSBM has been obtained in dimension 3 forP λ -α.s.2.
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References
Dawson, D. A.,Measure-valued Markov Processes, Vol. 1541 of LNM, Berlin: Springer-Verlag. 1993, 1–260.
Dawson, D. A., Fleischmann, K., A continuous super-Brownian motion in a super-Brownian medium,J. Th. Probab., 1997, 10(1): 213.
Dawson, D. A., Fleischmann, K., Longtime behavior of a branching process controlled by branching catalysts,Stoch. Process. Appl., 1997, submitted.
Etheridge, A. M., Fleischmann, K., Persistence of a two-dimensional super-Brownian motion in a catalytic medium,Probab. Theory Relat. Fields, 1997, in print.
Fleischmann, K., Klenke, A., Convergence to a non-trivial equilibrium for two-dimension1 catalytic super-Brownian motion, Berlin: WIAS, Preprint No. 305, 1996.
Hong, W. M., Absolute continuity for the occupation time of super-Brownian motion in a super-Brownian medium,Adv. in Math., 1997, 26(5): 469.
Iscoe, I., Ergodic theory and a local occupation time for measure-valued critical branching Brownian motion,Stochastics, 1986, 18: 197.
Iscoe, I., A weighted occupation time for a class of measure-valued critical branching Brownian motion,Probab. Theory Relat. Fields, 1986, 71: 85.
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Hong, W. Central limit theorem for the occupation time of catalytic super-Brownian motion. Chin.Sci.Bull. 43, 2035–2040 (1998). https://doi.org/10.1007/BF03183501
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DOI: https://doi.org/10.1007/BF03183501