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| THE OCCUPATION DENSITY FIELD FOR THE CATALYTICSUPER-BROWNIAN MOTION |
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Citation： |
HONG Wenming.THE OCCUPATION DENSITY FIELD FOR THE CATALYTICSUPER-BROWNIAN MOTION[J].Chinese Annals of Mathematics B,1999,20(4):447~454 |
| Page view： 966
Net amount： 670 |
Authors： |
HONG Wenming; |
Foundation： |
Project supported by the National Natural Science Foundation of China (No. 19671011), the Mathematical Center of the
Ministry of Education of China and the Research Fund for the Doctoral Programme of Higher Education. |
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| Abstract： |
It is proved that the occupation time of the
catalytic super-Brownian motion is absolutely continuous for $d=1,$ and the
occupation density field is jointly continuous and jointly H\"{o}lder
continuous. |
Keywords： |
Branching rate functional, Brownian collision local time,
Catalytic super-Brownian motion, Occupation time, Occupation density field |
Classification： |
60J80, 60F05 |
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