Strong uniqueness for cyclically symbiotic branching diffusions
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.
Year of publication: |
2005
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Authors: | Dawson, Donald A. ; Fleischmann, Klaus ; Xiong, Jie |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 73.2005, 3, p. 251-257
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Publisher: |
Elsevier |
Keywords: | Catalyst Reactant Superprocess Cyclically catalytic branching Stochastic equation Cyclic reaction Growth of moments Moment equation system Moment dual |
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