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.
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Allouba, H., Durrett, R., Hawkes, J. et al. Super-Tree Random Measures. Journal of Theoretical Probability 10, 773–794 (1997). https://doi.org/10.1023/A:1022666030740
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DOI: https://doi.org/10.1023/A:1022666030740