arXiv Analytics

Sign in

arXiv:math/0703573 [math.PR]AbstractReferencesReviewsResources

A quenched CLT for super-Brownian motion with random immigration

Wenming Hong, Ofer Zeitouni

Published 2007-03-20, updated 2007-05-05Version 2

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.

Comments: A small mistake in the proof of Proposition 2.2 is corrected, and typos removed
Categories: math.PR
Subjects: 60J80, 60F05
Related articles: Most relevant | Search more
arXiv:1704.06072 [math.PR] (Published 2017-04-20)
Quenched Central Limit Theorem for Random Walks in Doubly Stochastic Random Environment
arXiv:math/0211435 [math.PR] (Published 2002-11-27, updated 2002-12-09)
Super-Brownian motion with extra birth at one point
arXiv:1701.04294 [math.PR] (Published 2017-01-16)
A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees

Links

Toolbox