English

A quenched CLT for super-Brownian motion with random immigration

Probability 2007-05-23 v2

Abstract

A quenched central limit theorem is derived for the super-Brownian motion with super-Brownian immigration, in dimension d4d\geq 4. At the critical dimension d=4d=4, the quenched and annealed fluctuations are of the same order but are not equal.

Keywords

Cite

@article{arxiv.math/0703573,
  title  = {A quenched CLT for super-Brownian motion with random immigration},
  author = {Wenming Hong and Ofer Zeitouni},
  journal= {arXiv preprint arXiv:math/0703573},
  year   = {2007}
}

Comments

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