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• W2048573155 abstract "We investigate the dimension of intersections of the Sierpinski-like carpets with lines. We show a sufficient condition that for a fixed rational slope the dimension of almost every intersection w.r.t the natural measure is strictly greater than s− 1, and almost every intersection w.r.t the Lebesgue measure is strictly less than s − 1, where s is the Hausdorff dimension of the carpet. Moreover, we give partial multifractal spectra for the Hausdorff and packing dimension of slices. Mathematics Subject Classification (2010). 28A80; 28A78." @default.
• W2048573155 created "2016-06-24" @default.
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• W2048573155 date "2014-01-01" @default.
• W2048573155 modified "2023-09-28" @default.
• W2048573155 title "Dimension of slices of Sierpiński-like carpets" @default.
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• W2048573155 doi "https://doi.org/10.4171/jfg/8" @default.
• W2048573155 hasPublicationYear "2014" @default.
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