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Strong uniqueness for cyclically symbiotic branching diffusions

Donald A. Dawson, Klaus Fleischmann and Jie Xiong

Statistics & Probability Letters, 2005, vol. 73, issue 3, 251-257

Abstract: A uniqueness problem raised in 2001 for critical cyclically catalytic super-Brownian motions is solved in the simplified space-less case, that is, for cyclically catalytic branching diffusions X. More precisely, X is characterized as the unique strong solution of a singular stochastic equation.

Keywords: Catalyst; Reactant; Superprocess; Cyclically; catalytic; branching; Stochastic; equation; Cyclic; reaction; Growth; of; moments; Moment; equation; system; Moment; dual (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (2)

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