Abstract
We consider hierarchically structured systems of individuals undergoing birth-and-death or branching processes at each level, with spatial motion at the lowest level. The measure-valued continuous diffusion limit process is formulated, and the carrying dimension of the topological support of the underlying random measure is analyzed.
| Original language | English |
|---|---|
| Pages (from-to) | 269-283 |
| Number of pages | 15 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 25 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1995 |
Keywords
- Branching process
- Diffusion process
- Hausdorff dimension
- Measure-valued process
- Multilevel process
- Superprocess