Random cutout sets with spatially inhomogeneous intensities
arXiv:1504.03447
Abstract
We study the Hausdorff dimension of Poissonian cutout sets defined via inhomogeneous intensity measures on Ahlfors-regular metric spaces. We obtain formulas for the Hausdorff dimension of such cutouts in self-similar and self-conformal spaces using the multifractal decomposition of the average densities for the natural measures.
24 pages. Incorporated refereeing comments. To appear in Israel J. Math