Pure Mathematics Theses: Recent submissions

Now showing items 71-75 of 76

    • The geometry of self-affine fractals 

      Miao, Jun Jie (University of St Andrews, 2008) - Thesis
      In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems. We give ...

    • Intersection problems in combinatorics 

      Brunk, Fiona (University of St Andrews, 2009-11-30) - Thesis
      With the publication of the famous Erdős-Ko-Rado Theorem in 1961, intersection problems became a popular area of combinatorics. A family of combinatorial objects is t-intersecting if any two of its elements mutually ...

    • Resonances for graph directed Markov systems, and geometry of infinitely generated dynamical systems 

      Hille, Martial R. (University of St Andrews, 2009-06-24) - Thesis
      In the first part of this thesis we transfer a result of Guillopé et al. concerning the number of zeros of the Selberg zeta function for convex cocompact Schottky groups to the setting of certain types of 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 ...

    • Simplicity in relational structures and its application to permutation classes 

      Brignall, Robert (University of St Andrews, 2007-11-30) - Thesis
      The simple relational structures form the units, or atoms, upon which all other relational structures are constructed by means of the substitution decomposition. This decomposition appears to have first been introduced in ...