{ "id": "math/0703573", "version": "v2", "published": "2007-03-20T08:00:41.000Z", "updated": "2007-05-05T14:27:40.000Z", "title": "A quenched CLT for super-Brownian motion with random immigration", "authors": [ "Wenming Hong", "Ofer Zeitouni" ], "comment": "A small mistake in the proof of Proposition 2.2 is corrected, and typos removed", "categories": [ "math.PR" ], "abstract": "A quenched central limit theorem is derived for the super-Brownian motion with super-Brownian immigration, in dimension $d\\geq 4$. At the critical dimension $d=4$, the quenched and annealed fluctuations are of the same order but are not equal.", "revisions": [ { "version": "v2", "updated": "2007-05-05T14:27:40.000Z" } ], "analyses": { "subjects": [ "60J80", "60F05" ], "keywords": [ "super-brownian motion", "random immigration", "quenched clt", "quenched central limit theorem", "super-brownian immigration" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......3573H" } } }