Percolation dimension of fractals

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Percolation dimension of fractals

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Title: Percolation dimension of fractals
Author: Burdzy, Krzysztof
Abstract: "Percolation dimension" is introduced in this note. It characterizes certain fractals and its definition is based on the Hausdorff dimension. It is shown that percolation dimension and "boundary dimension" are in a sense independent from the Hausdorff dimension and, therefore, provide an additional tool for classification of fractals.
URI: http://hdl.handle.net/1773/2163

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