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) |
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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