Lifetime and compactness of range for super-Brownian motion with a general branching mechanism

Yuan-Chung Sheu

Stochastic Processes and their Applications, 1997, vol. 70, issue 1, 129-141

Abstract: Let X be a super-Brownian motion with a general (time-space) homogeneous branching mechanism. We study a relation between lifetime and compactness of range for X. Under a restricted condition on the branching mechanism, we show that the set X survives is the same as that the range of X is unbounded. (For [alpha]-branching super-Brownian motion, 1

Keywords: Super-Brownian; motion; Branching; mechanism; Lifetime; Compactness; of; range; Support (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (5)

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