Hausdorff dimension of limsup random fractals

Liang Zhang (University of Utah)

Abstract


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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Pages: 1-26

Publication Date: March 19, 2013

DOI: 10.1214/EJP.v18-2273

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