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.

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Year of publication:	2005
Authors:	Dawson, Donald A. ; Fleischmann, Klaus ; Xiong, Jie
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 73.2005, 3, p. 251-257
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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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005254992