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.
"The packing measure of the range of Super-Brownian motion." Ann. Probab. 37 (6) 2431 - 2458, November 2009. https://doi.org/10.1214/09-AOP468