Functional central limit theorems for supercritical superprocesses

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}.

arXiv admin note: text overlap with arXiv:1310.5410

References in corpus (2)

• Spatial CLT for the supercritical Ornstein-Uhlenbeck superprocess
• Central Limit Theorems for Supercritical Branching Nonsymmetric Markov Processes

Cited by in corpus (1)

• Strong law of large numbers for supercritical superprocesses under second moment condition