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arXiv · 1910.11796

Fractal percolation is unrectifiable

Zoltán Buczolich·Esa Järvenpää·Maarit Järvenpää·Tamás Keleti·Tuomas Pöyhtäri
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Abstract

We show that there exists $0<α_0<1$ (depending on the parameters) such that the fractal percolation is almost surely purely $α$-unrectifiable for all $α>α_0$.

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Zoltán Buczolich, Esa Järvenpää, Maarit Järvenpää, Tamás Keleti, Tuomas Pöyhtäri. 2021-03-30. Fractal percolation is unrectifiable. https://arxiv.org/abs/1910.11796

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