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Super-Tree Random Measures |
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| Authors: | Hassan Allouba Rick Durrett John Hawkes Edwin Perkins |
| Affiliation: | (1) Department of Mathematics, Duke University, Durham, North Carolina, 27708;(2) Department of Statistics, University College of Swansea, Swansea, SA2 8PP, Wales;(3) Department of Mathematics, University of British Columbia, Vancouver, British Columbia, V6T 1Z2, Canada |
| 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 |
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