The dimension of the boundary of super-Brownian motion
Leonid Mytnik, Edwin Perkins·2017-11-10·via math.PR updates on arXiv.org
We show that the Hausdorff dimension of the boundary of $d$-dimensional super-Brownian motion is $0$, if $d=1$, $4-2\sqrt2$, if $d=2$, and $(9-\sqrt{17})/2$, if $d=3$.