An almost sure limit theorem for super-Brownian motion

DOI10.1007/S10959-008-0200-8zbMATH Open1198.60037arXiv0812.0642OpenAlexW1963957871MaRDI QIDQ975321

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Publication date: 9 June 2010

Published in: (Search for Journal in Brave)

Abstract: We establish an almost sure scaling limit theorem for super-Brownian motion on $mathbb{R}^d$ associated with the semi-linear equation $$, where $alpha$ and $$ are positive constants. In this case, the spectral theoretical assumptions that required in Chen et al (2008) are not satisfied. An example is given to show that the main results also hold for some sub-domains in $mathbb{R}^d$.

Full work available at URL: https://arxiv.org/abs/0812.0642

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