An Almost Sure Limit Theorem for Super-Brownian Motion

Li Wang ()
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Li Wang: Beijing Normal University

Journal of Theoretical Probability, 2010, vol. 23, issue 2, 401-416

Abstract: Abstract We establish an almost sure scaling limit theorem for super-Brownian motion on ℝ d associated with the semi-linear equation $u_{t}=\frac{1}{2}\Delta u+\beta u-\alpha u^{2}$ , where α and β are positive constants. In this case, the spectral theoretical assumptions required in Chen et al. (J. Funct. Anal. 254:1988–2019, 2008) are not satisfied. An example is given to show that the main results also hold for some sub-domains in ℝ d .

Keywords: Super-Brownian motion; Almost sure limit theorem; 60J80; 60F15 (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10959-008-0200-8

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