Hausdorff Dimension of the Set of Extreme Points of a Random Countable Stable Zonotope

Maksim Kukushkin

Let $d\ge 2$, $0<\alpha <1$, and let ${\Gamma }_k$ be the successive arrival times of a standard Poisson process on $(0,\infty )$. Given independent uniform directions ${\epsilon }_k\in S^{d-1}$…