On the occupation measure of super-Brownian motion

J. F. Le Gall; M. Merle

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On the occupation measure of super-Brownian motion

J. F. Le Gall·M. Merle

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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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J. F. Le Gall, M. Merle. 2006-05-17. On the occupation measure of super-Brownian motion. https://arxiv.org/abs/math/0605482

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