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Super-Tree Random Measures

Author

Listed:
  • Hassan Allouba

    (Duke University)

  • Rick Durrett
  • John Hawkes

    (University College of Swansea)

  • Edwin Perkins

    (University of British Columbia)

Abstract

We use supercritical branching processes with random walk steps of geometrically decreasing size to construct random measures. Special cases of our construction give close relatives of the super-(spherically symmetric stable) processes. However, other cases can produce measures with very smooth densities in any dimension.

Suggested Citation

  • Hassan Allouba & Rick Durrett & John Hawkes & Edwin Perkins, 1997. "Super-Tree Random Measures," Journal of Theoretical Probability, Springer, vol. 10(3), pages 773-794, July.
    • Handle: RePEc:spr:jotpro:v:10:y:1997:i:3:d:10.1023_a:1022666030740
    DOI: 10.1023/A:1022666030740
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