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Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits

Author

Listed:
  • D. A. Dawson

    (Carleton University)

  • Z. Li

    (Beijing Normal University)

  • X. Zhou

    (Concordia University)

Abstract

A Superprocess with coalescing spatial motion is constructed in terms of one-dimensional excursions. Based on this construction, it is proved that the superprocess is purely atomic and arises as scaling limit of a special form of the superprocess with dependent spatial motion studied in Dawson et al. (Refs. 5, 19–20).

Suggested Citation

  • D. A. Dawson & Z. Li & X. Zhou, 2004. "Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits," Journal of Theoretical Probability, Springer, vol. 17(3), pages 673-692, July.
    • Handle: RePEc:spr:jotpro:v:17:y:2004:i:3:d:10.1023_b:jotp.0000040293.67957.e3
    DOI: 10.1023/B:JOTP.0000040293.67957.e3
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    References listed on IDEAS

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    1. Donald A. Dawson & Zenghu Li & Hao Wang, 2001. "Superprocesses with Dependent Spatial Motion and General Branching Densities," RePAd Working Paper Series lrsp-TRS346, Département des sciences administratives, UQO.
    2. Dawson, Donald A. & Fleischmann, Klaus, 1988. "Strong clumping of critical space-time branching models in subcritical dimensions," Stochastic Processes and their Applications, Elsevier, vol. 30(2), pages 193-208, December.
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    Cited by:

    1. Hui He & Zenghu Li & Xiaowen Zhou, 2013. "An Integral Test on Time-Dependent Local Extinction for Super-coalescing Brownian Motion with Lebesgue Initial Measure," Journal of Theoretical Probability, Springer, vol. 26(1), pages 31-45, March.

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