Functional central limit theorems for supercritical superprocesses

Yan-Xia Ren; Renming Song; Rui Zhang

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arXiv · 1410.1598

Functional central limit theorems for supercritical superprocesses

Yan-Xia Ren·Renming Song·Rui Zhang

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Abstract

In this paper, we establish some functional central limit theorems for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment condition. In the particular case when the state $E$ is a finite set and the underline motion is an irreducible Markov chain on $E$, our results are superprocess analogs of the functional central limit theorems of \cite{Janson} for supercritical multitype branching processes. The results of this paper are refinements of the central limit theorems in \cite{RSZ3}.

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BibTeX RIS

Yan-Xia Ren, Renming Song, Rui Zhang. 2014-10-07. Functional central limit theorems for supercritical superprocesses. https://arxiv.org/abs/1410.1598

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