Slicing the Sierpinski gasket

B Barany, Andrew Ferguson, K Simon

Research output: Contribution to journalArticle (Academic Journal)

Abstract

We investigate the dimension of intersections of the Sierpiński gasket with lines. Our first main result describes a countable, dense set of angles that are exceptional for Marstrand's theorem. We then provide a multifractal analysis for the set of points in the projection for which the associated slice has a prescribed dimension.
Original languageEnglish
Pages (from-to)1753
JournalNonlinearity
Volume6
DOIs
Publication statusPublished - Jun 2012

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    Barany, B., Ferguson, A., & Simon, K. (2012). Slicing the Sierpinski gasket. Nonlinearity, 6, 1753. https://doi.org/doi:10.1088/0951-7715/25/6/1753