Abstract
We give a necessary and sufficient condition for ergodicity with finite invariant occupation measure for branching diffusions with immigration. We do not assume uniformly subcritial reproduction means. We discuss the structure of the invariant occupation measure and of its density.
| Original language | English |
|---|---|
| Pages (from-to) | 1025-1047 |
| Number of pages | 23 |
| Journal | Annales de l'institut Henri Poincare (B) Probability and Statistics |
| Volume | 41 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Nov 2005 |
| Externally published | Yes |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 10 Reduced Inequalities
Keywords
- Branching
- Diffusing particles
- Immigration
- Invariant occupation density
- Invariant occupation measure
- Resolvants
- Spatial subcriticality
- Stochastic flows
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