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THE OCCUPATION DENSITY FIELD FOR THE CATALYTIC SUPER-BROWNIAN MOTION

THE OCCUPATION DENSITY FIELD FOR THE CATALYTIC SUPERBROWNIAN MOTION
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摘要 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. 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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第4期447-454,共8页 数学年刊(B辑英文版)
关键词 分支率 布朗时间冲突 布朗运动 占位时 占位密度 Branching rate functional, Brownian collision local time, Catalytic super-Brownian motion, Occupation time, Occupation density field
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参考文献2

  • 1Alison M. Etheridge,Klaus Fleischmann. Persistence of a two-dimensional super-Brownian motion in a catalytic medium[J] 1998,Probability Theory and Related Fields(1):1~12
  • 2Donald A. Dawson,Klaus Fleischmann. A Continuous Super-Brownian Motion in a Super-Brownian Medium[J] 1997,Journal of Theoretical Probability(1):213~276

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