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On the occupation measure of super-Brownian motion

Probability 2007-05-23 v1

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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Cite

@article{arxiv.math/0605482,
  title  = {On the occupation measure of super-Brownian motion},
  author = {J. F. Le Gall and M. Merle},
  journal= {arXiv preprint arXiv:math/0605482},
  year   = {2007}
}

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13 pages