Now showing items 1-2 of 2

  • Directed graph iterated function systems 

    Boore, Graeme C. (University of St Andrews, 2011-11-30) - Thesis
    This thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed ...
  • Self-affine sets with positive Lebesgue measure 

    Dajani, Karma; Jiang, Kan; Kempton, Thomas Michael William (2014-06-27) - Journal article
    Using techniques introduced by C. Gunturk, we prove that the attractors of a family of overlapping self-affine iterated function systems contain a neighbourhood of zero for all parameters in a certain range. This corresponds ...