Super-Tree Random Measures

Hassan Allouba, Rick Durrett, John Hawkes and Edwin Perkins
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Hassan Allouba: Duke University
John Hawkes: University College of Swansea
Edwin Perkins: University of British Columbia

Journal of Theoretical Probability, 1997, vol. 10, issue 3, 773-794

Abstract: 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.

Keywords: Random measures; branching processes; random walks (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022666030740

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