Ekstr\"om-Persson conjecture regarding random covering sets
Ekstr\"om-Persson conjecture regarding random covering sets
We consider the Hausdorff dimension of random covering sets generated by balls and general measures in Euclidean spaces. We prove, for a certain parameter range, a conjecture by Ekstr\"om and Persson concerning the exact value of the dimension in the special case of radii $(n^{-\alpha})_{n=1}^\infty$. For generating balls with an …