On the occupation measure of super-Brownian motion

Details On the occupation measure of super-Brownian motion On the occupation measure of super-Brownian motion

2006-05-17

arxiv.org/abs/math/0605482v1

Mathematics

Probability

13 pages

Scientific paper

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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