Dimensions of intersections of the sierpinski carpet with lines of rational slopes

Qing Hui Liu*, Li Feng Xi, Yan Fen Zhao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

This paper computes the Box and Hausdorff dimensions of the intersections of the Sierpinski carpet with planar lines of rational slopes.

Original languageEnglish
Pages (from-to)411-428
Number of pages18
JournalProceedings of the Edinburgh Mathematical Society
Volume50
Issue number2
DOIs
Publication statusPublished - Jun 2007

Keywords

  • Dimension
  • Ergodic theory
  • Fractal
  • Sierpinski carpet

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Liu, Q. H., Xi, L. F., & Zhao, Y. F. (2007). Dimensions of intersections of the sierpinski carpet with lines of rational slopes. Proceedings of the Edinburgh Mathematical Society, 50(2), 411-428. https://doi.org/10.1017/S0013091505000428