Hausdorff dimension of the double points on the Brownian frontier

R Kiefer, P Mörters

Research output: Contribution to journalArticle

Abstract

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
Volume23
Issue number2
DOIs
Publication statusPublished - Jun 2010

Keywords

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

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