Percolation dimension of fractals

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paper20.pdf (133.78 KB)

Date

1990-01

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Burdzy, Krzysztof

Journal Title

Journal ISSN

Volume Title

Publisher

Academic Press (Elsevier)

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.

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Keywords

percolation dimension, fractals, Hausdorff dimension, boundary dimension

Citation

Burdzy, K. (1990). Percolation dimension of fractals. Journal of Mathematical Analysis and Applications, 145 (1), 282-288.

URI

http://hdl.handle.net/1773/2163

DOI

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EPrint Collection - Mathematics