Fractal percolation is unrectifiable

Zoltán Buczolich, Esa Järvenpää, Maarit Järvenpää, Tamás Keleti, Tuomas Pöyhtäri

Type: Article

Publication Date: 2021-07-26

Citations: 1

DOI: https://doi.org/10.1016/j.aim.2021.107906

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Advances in Mathematics - View
arXiv (Cornell University) - View - PDF
University of Oulu Repository (University of Oulu) - View - PDF

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+ PDF Chat	Almost sure convergence and second moments of geometric functionals of fractal percolation	2023	Michael A. Klatt Steffen Winter

Works Cited by This (24)

Action	Title	Year	Authors
+ PDF Chat	𝑘-dimensional regularity classifications for 𝑠-fractals	1988	Miguel Ángel Martı́n Pertti Mattila
+	Geometric Measure Theory	1988	Herbert Fédérer
+	Probability with martingales	1992	David N. Williams
+ PDF Chat	On the parametrization of self-similar and other fractal sets	2000	Miguel Ángel Martı́n Pertti Mattila
+ PDF Chat	The Dimension of Projections of Fractal Percolations	2013	Michał Rams Károly Simon
+	On the length of the shortest crossing in the super-critical phase of Mandelbrot's percolation process	1996	L. Chayes
+	Connectivity in fractal percolation	1992	Ronald Meester
+ PDF Chat	Connectivity properties of Mandelbrot's percolation process	1988	Jennifer Chayes L. Chayes Rick Durrett
+	A lower bound on the box-counting dimension of crossings in fractal percolation11Research supported by EPSRC grant no. 94000964.	1998	Mark E. Orzechowski
+ PDF Chat	Dimension (In)equalities and Hölder Continuous Curves in Fractal Percolation	2012	Erik I. Broman Federico Camia Matthijs Joosten Ronald Meester