# The Packing Measure of the Range of Super-Brownian Motion

Abstract : We 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 $d$.
Document type :
Preprints, Working Papers, ...
2008
Domain :
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00451068
Contributor : Thomas Duquesne <>
Submitted on : Thursday, January 28, 2010 - 10:34:41 AM
Last modification on : Monday, May 29, 2017 - 2:23:40 PM

### Identifiers

• HAL Id : hal-00451068, version 1
• ARXIV : 0810.5673

### Citation

Thomas Duquesne. The Packing Measure of the Range of Super-Brownian Motion. 2008. 〈hal-00451068〉

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