Hausdorff and packing dimensions of the images of random fields

Narn-Rueih Shieh, Yimin Xiao

Let $X=\{X(t),t\in {\mathbb{R}}^N\}$ be a random field with values in ${\mathbb{R}}^d$. For any finite Borel measure $\mu$ and analytic set $E\subset {\mathbb{R}}^N$, the Hausdorff and packi…