Abstract
In this paper we establish spatial central limit theorems for a large class of supercritical branching Markov processes with general spatial-dependent branching mechanisms. These are generalizations of the spatial central limit theorems proved in [1] for branching OU processes with binary branching mechanisms. Compared with the results of [1], our central limit theorems are more satisfactory in the sense that the normal random variables in our theorems are non-degenerate.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1716-1756 |
| Number of pages | 41 |
| Journal | Journal of Functional Analysis |
| Volume | 266 |
| Issue number | 3 |
| DOIs | |
| State | Published - Feb 1 2014 |
Keywords
- Branching Markov process
- Central limit theorem
- Eigenfunction expansion
- Martingale
- Supercritical
ASJC Scopus subject areas
- Analysis