Fractal percolation is unrectifiable
Buczolich, Zoltán; Järvenpää, Esa; Järvenpää, Maarit; Keleti, Tamás; Pöyhtäri, Tuomas (2021-07-26)
Buczolich, Zoltán
Järvenpää, Esa
Järvenpää, Maarit
Keleti, Tamás
Pöyhtäri, Tuomas
Elsevier
26.07.2021
Zoltán Buczolich, Esa Järvenpää, Maarit Järvenpää, Tamás Keleti, Tuomas Pöyhtäri, Fractal percolation is unrectifiable, Advances in Mathematics, Volume 390, 2021, 107906, ISSN 0001-8708, https://doi.org/10.1016/j.aim.2021.107906
https://creativecommons.org/licenses/by/4.0/
© 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
https://creativecommons.org/licenses/by/4.0/
© 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
https://creativecommons.org/licenses/by/4.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2021100750056
https://urn.fi/URN:NBN:fi-fe2021100750056
Tiivistelmä
Abstract
We show that there exists 0 < α₀ < 1 (depending on the parameters) such that the fractal percolation is almost surely purely α-unrectifiable for all α > α₀.
Kokoelmat
- Avoin saatavuus [32026]