INVISIBLE SETS AND CONFORMAL DIMENSIONS OF SQUARE SIERPIŃSKI CARPETS

Feng Rao ()
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Feng Rao: School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, Hubei, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-11

Abstract: We give general method of constructing invisible sets on square Sierpiński carpets which can be asymmetrical. As an application, we obtain upper bounds of the conformal dimensions of square Sierpiński carpets. The bounds are less than the Hausdorff dimensions of square Sierpiński carpets.

Keywords: Sierpiński Carpet; Conformal Dimension; Invisible Set (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500189

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