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Fractal percolation and quasisymmetric mappings |
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| Author: | Rossi, Eino1; Suomala, Ville2 |
| Organizations: |
1Department of Mathematics and Statistics, University of Helsinki P.O. Box 68 (Pietari Kalmin katu 5) 00014 University of Helsinki, Finland 2Department of Mathematical Sciences, University of Oulu P.O. Box 8000 (Pentti Kaiteran katu 1) FI-90014 University of Oulu, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.3 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe202301102188 |
| Language: | English |
| Published: |
Oxford University Press,
2021
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| Publish Date: | 2023-01-10 |
| Description: |
AbstractWe study the conformal dimension of fractal percolation and show that, almost surely, the conformal dimension of a fractal percolation is strictly smaller than its Hausdorff dimension. see all
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| Series: |
International mathematics research notices |
| ISSN: | 1073-7928 |
| ISSN-E: | 1687-0247 |
| ISSN-L: | 1073-7928 |
| Volume: | 2021 |
| Issue: | 10 |
| Pages: | 7372 - 7393 |
| DOI: | 10.1093/imrn/rnaa040 |
| OADOI: | https://oadoi.org/10.1093/imrn/rnaa040 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
This work was supported by CONICET [to E.R.]; the Finnish Academy of Science and Letters [to E.R.]; Mittag–Leffler institute[to E.R.]; the University of Helsinki via the project Quantitative rectifiability of sets and measures in Euclidean Spaces and Heisenberg groups [project No.7516125 to E.R.]; Academy of Finland CoE in Analysis and Dynamics research [to V.S.]. We thank the Mittag–Leffler institute and the organizers of the Fractal Geometry and Dynamics program, where this project started. VS also acknowledges the Finnish Academy of Science and Letters for covering the costs of the visit. |
| Copyright information: |
© The Author(s) 2020. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permission@oup.com. This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record is available online at: https://doi.org/10.1093/imrn/rnaa040 |