On the occupation measure of super-Brownian motion

2006/05/17 by J. F. Le Gall, Gall, J. F. Le, M. Merle +1
Mathematics · #60G57 #60J80 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60G57 #msc:60J80

paper · pdf · doi:10.48550/arxiv.math/0605482

13 pages

arxiv created 2006/05/17 · arxiv updated 2009/12/01

Abstract

We derive the asymptotic behavior of the occupation measure of the unit ball, for super-Brownian motion started from the Dirac measure at a distant point x and conditioned to hit the unit ball. In the critical dimension d=4, we obtain a limiting exponential distribution for the ratio of the occupation measure over log(|x|).

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