The Packing Measure of the Range of Super-Brownian Motion

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dc.creatorDuquesne, Thomas
dc.date2008-10-31
dc.date.accessioned2026-07-07T10:14:35Z
dc.date.available2026-07-07T10:14:35Z
dc.descriptionWe prove that the total range of Super-Brownian motion with quadratic branching mechanism has an exact packing measure with respect to the gauge function $g(r)=r^4 (\log \log1/r)^{-3}$ in super-critical dimensions $d\geq 5$. More precisely, we prove that the total occupation measure of Super-Brownian motion is equal to the $g$-packing measure restricted to its range, up to a deterministic multiplicative constant that only depends on space dimension $d$.
dc.identifierhttps://arxiv.org/abs/0810.5673
dc.identifierhttp://arxiv.org/abs/0810.5673
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172930
dc.subjectProbability
dc.subject60G57; 60J80; 28A78
dc.titleThe Packing Measure of the Range of Super-Brownian Motion
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