Visibility for self-similar sets of dimension one in the plane

K. Simon, Boris Solomyak

Research output: Contribution to journalArticle

7 Citations (Scopus)


We prove that a purely unrectifiable self-similar set of finite 1-dimensional Hausdorff measure in the plane, satisfying the Open Set Condition, has radial projection of zero length from every point.

Original languageEnglish
Pages (from-to)67-78
Number of pages12
JournalReal Analysis Exchange
Issue number1
Publication statusPublished - Jan 1 2007



  • Hausdorff measure
  • Purely unrectifiable
  • Self-similar set

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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