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  • A commutative noncommutative fractal geometry 

    Samuel, Anthony (University of St Andrews, 2010) - Thesis
    In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained. Firstly, starting with Connes' spectral triple for a non-empty ...
  • 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 ...