A quenched CLT for super-Brownian motion with random immigration

2007/03/20 by Wenming Hong, Hong, Wenming, Ofer Zeitouni +1
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #60F05 #60J80 #FOS: Mathematics #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR #msc:60F05 #msc:60J80

paper · pdf · doi:10.48550/arxiv.math/0703573

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

openalex publication_date 2007/03/20 · arxiv created 2007/05/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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