Hausdorff dimension of the double points on the Brownian frontier

R Kiefer, P Mörters

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1 Citation (SciVal)


The frontier of a planar Brownian motion is the boundary of the unbounded component of the complement of its range. In this paper, we find the Hausdorff dimension of the set of double points on the frontier.
Original languageEnglish
Pages (from-to)605-623
Number of pages19
JournalJournal of Theoretical Probability
Issue number2
Publication statusPublished - Jun 2010


  • frontier
  • Hausdorff dimension
  • double points
  • disconnection exponent
  • self-intersections
  • Mandelbrot conjecture
  • outer boundary
  • Brownian motion


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