The dimension of the boundary of super-Brownian motion

Abstract

We show that the Hausdorff dimension of the boundary of $d$-dimensional super-Brownian motion is $0$, if $d=1$, $4-2\sqrt{2}$, if $d=2$, and $(9-\sqrt{17})/2$, if $d=3$.

arXiv comment55 pages, 0 figures