Now showing items 1-7 of 7

    • Contractive Markov systems 

      Werner, Ivan (University of St Andrews, 2004) - Thesis
      We introduce a theory of contractive Markov systems (CMS) which provides a unifying framework in so-called "fractal" geometry. It extends the known theory of iterated function systems (IFS) with place dependent probabilities ...
    • Dimension theory and fractal constructions based on self-affine carpets 

      Fraser, Jonathan M. (University of St Andrews, 2013-11-29) - Thesis
      The aim of this thesis is to develop the dimension theory of self-affine carpets in several directions. Self-affine carpets are an important class of planar self-affine sets which have received a great deal of attention ...
    • 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 ...
    • Graph directed self-conformal multifractals 

      Cole, Julian (University of St Andrews, 1999) - Thesis
      In this thesis we study the multifractal structure of graph directed self-conformal measures. We begin by introducing a number of notions from geometric measure theory. In particular, several notions of dimension, graph ...
    • Inhomogeneous self-similar sets and measures 

      Snigireva, Nina (University of St Andrews, 2008) - Thesis
      The thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneous self-similar sets and measures. In particular, we show that these sets and measures are natural generalizations of ...
    • Multifractal zeta functions 

      Mijović, Vuksan (University of St Andrews, 2017-06-23) - Thesis
      Multifractals have during the past 20 − 25 years been the focus of enormous attention in the mathematical literature. Loosely speaking there are two main ingredients in multifractal analysis: the multifractal spectra and ...
    • On average Hewitt-Stromberg measures of typical compact metric spaces 

      Olsen, Lars (2019-01-24) - Journal article
      We study average Hewitt-Stromberg measures of typical compact metric spaces belonging to the Gromov-Hausdorff space (of all compact metric spaces) equipped with the Gromov-Hausdorff metric.