Fractal percolation and quasisymmetric mappings

Rossi, Eino; Suomala, Ville (2020-04-15)
 
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https://doi.org/10.1093/imrn/rnaa040

Rossi, Eino
Suomala, Ville
Oxford University Press
15.04.2020

Eino Rossi, Ville Suomala, Fractal Percolation and Quasisymmetric Mappings, International Mathematics Research Notices, Volume 2021, Issue 10, May 2021, Pages 7372–7393, https://doi.org/10.1093/imrn/rnaa040

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© 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
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doi:https://doi.org/10.1093/imrn/rnaa040
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https://urn.fi/URN:NBN:fi-fe202301102188
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Abstract

We 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.

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