Random cutout sets with spatially inhomogeneous intensities
Dynamical Systems
2016-08-02 v2 Classical Analysis and ODEs
Probability
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.
Cite
@article{arxiv.1504.03447,
title = {Random cutout sets with spatially inhomogeneous intensities},
author = {Tuomo Ojala and Ville Suomala and Meng Wu},
journal= {arXiv preprint arXiv:1504.03447},
year = {2016}
}
Comments
24 pages. Incorporated refereeing comments. To appear in Israel J. Math