On the occupation measure of super-Brownian motion
Jean-Francois Le Gall, Ecole normale superieure de Paris
Mathieu Merle, UBC Vancouver
Abstract
We derive the asymptotic behavior of the total occupation measure of the
unit ball for super-Brownian motion started from the Dirac measure at a
distant point and conditioned to hit the unit ball. In the critical
dimension 4, we obtain a limiting exponential distribution.
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