Super-Tree Random Measures

Journal Article

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.

Duke Authors

Cited Authors

  • Allouba, H; Durrett, R; Hawkes, J; Perkins, E

Published Date

  • 1997

Published In

  • Journal of Theoretical Probability

Volume / Issue

  • 10 / 3

Start / End Page

  • 773 - 794