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Strong uniqueness for cyclically symbiotic branching diffusions

Author

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

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.

Suggested Citation

  • Dawson, Donald A. & Fleischmann, Klaus & Xiong, Jie, 2005. "Strong uniqueness for cyclically symbiotic branching diffusions," Statistics & Probability Letters, Elsevier, vol. 73(3), pages 251-257, July.
    • Handle: RePEc:eee:stapro:v:73:y:2005:i:3:p:251-257
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    References listed on IDEAS

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    1. Etheridge, Alison M. & Fleischmann, Klaus, 2004. "Compact interface property for symbiotic branching," Stochastic Processes and their Applications, Elsevier, vol. 114(1), pages 127-160, November.
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    Cited by:

    1. Kliem, S., 2011. "Long-term behaviour of a cyclic catalytic branching system," Stochastic Processes and their Applications, Elsevier, vol. 121(2), pages 357-377, February.
    2. He, Hui, 2009. "Strong uniqueness for a class of singular SDEs for catalytic branching diffusions," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 182-187, January.

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