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Random cutout sets with spatially inhomogeneous intensities |
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| Author: | Ojala, Tuomo1; Suomala, Ville2; Wu, Meng2 |
| Organizations: |
1Department of Mathematics and Statistics, University of Jyväskylä P.O.Box 35 (MaD), 40014 University of Jyväskylä, Finland 2Department of Mathematical Sciences, FI-90014 University of Oulu, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.4 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2017112855100 |
| Language: | English |
| Published: |
Springer Nature,
2017
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| Publish Date: | 2018-05-08 |
| Description: |
AbstractWe study the Hausdorff dimension of Poissonian cutout sets defined via inhomogeneous intensity measures on Q-regular metric spaces. Our main results explain the dependence of the dimension of the cutout sets on the multifractal structure of the average densities of the Q-regular measure. As a corollary, we obtain formulas for the Hausdorff dimension of such cutout sets in self-similar and self-conformal spaces using the multifractal decomposition of the average densities for the natural measures. see all
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| Series: |
Israel journal of mathematics |
| ISSN: | 0021-2172 |
| ISSN-E: | 1565-8511 |
| ISSN-L: | 0021-2172 |
| Volume: | 220 |
| Issue: | 2 |
| Pages: | 899 - 925 |
| DOI: | 10.1007/s11856-017-1524-9 |
| OADOI: | https://oadoi.org/10.1007/s11856-017-1524-9 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
V.S. and M.W. acknowledge financial support from the Academy of Finland. |
| Copyright information: |
© Hebrew University of Jerusalem 2017. This is a post-peer-review, pre-copyedit version of an article published in Israel journal of mathematics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11856-017-1524-9. |