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2013 Hausdorff dimension of limsup random fractals
Liang Zhang
Author Affiliations +
Electron. J. Probab. 18: 1-26 (2013). DOI: 10.1214/EJP.v18-2273


In this paper we find a critical condition for nonempty intersection of a limsup random fractal and an independent fractal percolation set defined on the boundary of a spherically symmetric tree. We then use a codimension argument to derive a formula for the Hausdorff dimension of limsup random fractals.


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Liang Zhang. "Hausdorff dimension of limsup random fractals." Electron. J. Probab. 18 1 - 26, 2013.


Accepted: 19 March 2013; Published: 2013
First available in Project Euclid: 4 June 2016

zbMATH: 1287.60018
MathSciNet: MR3040549
Digital Object Identifier: 10.1214/EJP.v18-2273

Primary: 60D05
Secondary: 28A80

Keywords: Hausdorff dimension , Limsup random fractals

Vol.18 • 2013
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