A quenched CLT for super-Brownian motion with random immigration

Abstract

A quenched central limit theorem is derived for the super-Brownian motion with super-Brownian immigration, in dimension $d\ge 4$. At the critical dimension $d=4$, the quenched and annealed fluctuations are of the same order but are not equal.

A small mistake in the proof of Proposition 2.2 is corrected, and typos removed

References in corpus (1)

• An almost sure invariance principle for random walks in a space-time random environment