WIAS Preprint No. 853, (2003)

Strong uniqueness for cyclically symbiotic branching diffusions


  • Dawson, Donald A.
  • Fleischmann, Klaus
  • Xiong, Jie

2010 Mathematics Subject Classification

  • 60K35 60J60 60J80


  • Catalyst, reactant, superprocess, cyclically catalytic branching, stochastic equation, cyclic reaction, growth of moments, moment equation system, moment dual




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.

Appeared in

  • Statist. Probab. Lett., 73 (2005) pp. 251-257

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