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Random cutout sets with spatially inhomogeneous intensities

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Ojala, T., Suomala, V., & Wu, M. (2017). Random cutout sets with spatially inhomogeneous intensities. Israel Journal of Mathematics, 220(2), 899-925. https://doi.org/10.1007/s11856-017-1524-9
Published in
Israel Journal of Mathematics
Authors
Ojala, Tuomo |
Suomala, Ville |
Wu, Meng
Date
2017
Discipline
MatematiikkaMathematics
Copyright
© Hebrew University of Jerusalem 2017. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.

 
We 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.
Publisher
Springer; Hebrew University Magnes Press
ISSN Search the Publication Forum
0021-2172
Keywords
Hausdorffin dimensio Hausdorff dimension Poissonian Cutout matematiikka
DOI
https://doi.org/10.1007/s11856-017-1524-9
URI

http://urn.fi/URN:NBN:fi:jyu-201707203337

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/26998307

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