The packing measure of the range of Super-Brownian motion
Duquesne, Thomas
Ann. Probab., Tome 37 (2009) no. 1, p. 2431-2458 / Harvested from Project Euclid
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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)=r4(log log 1/r)−3 in super-critical dimensions d≥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.
Publié le : 2009-11-15
Classification:  Super-Brownian motion,  Brownian Snake,  range,  exact packing measure,  60G57,  60J80,  28A78 
@article{1258380794,
     author = {Duquesne, Thomas},
     title = {The packing measure of the range of Super-Brownian motion},
     journal = {Ann. Probab.},
     volume = {37},
     number = {1},
     year = {2009},
     pages = { 2431-2458},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258380794}
}

Duquesne, Thomas. The packing measure of the range of Super-Brownian motion. Ann. Probab., Tome 37 (2009) no. 1, pp.  2431-2458. http://gdmltest.u-ga.fr/item/1258380794/