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An alternative approach to super-Brownian motion with a locally infinite branching mass

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  • Wang, Yongjin

Abstract

Fleischmann and Mueller (Probab. Theory Related Fields 107 (1997) 325) constructed a super-Brownian motion in R1 with a locally infinite branching rate function, and they showed that this super-Brownian motion has a strong killing property in the critical case. In this paper, we first construct, via a limiting procedure, a super-Brownian motion which is equivalent to the super-Brownian motion with a locally infinite branching. From this construction, one can easily see the connection between the superprocess and a killed Brownian motion. Next, by taking advantage of the new construction, we give a new proof of the strong killing property of the process.

Suggested Citation

  • Wang, Yongjin, 2002. "An alternative approach to super-Brownian motion with a locally infinite branching mass," Stochastic Processes and their Applications, Elsevier, vol. 102(2), pages 221-233, December.
    • Handle: RePEc:eee:spapps:v:102:y:2002:i:2:p:221-233
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