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THE OCCUPATION DENSITY FIELD FOR THE CATALYTIC SUPER-BROWNIAN MOTION
Authors:HONG Wenming
Institution:InstituteofMathematics,FudanUniversity,Shanghai200433,China.
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 Holder continuous.
Keywords:Branching rate functional  Brownian collision local time  Catalytic super-Brownian motion  Occupation time  Occupation density field
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