Pure Mathematics Theses: Recent submissions

Now showing items 11-15 of 62

    • On the regularity dimensions of measures 

      Howroyd, Douglas Charles (University of St Andrews, 2020) - Thesis
      This body of work is based upon the following three papers that the author wrote during his PhD with Jonathan Fraser and Han Yu: [FH20, HY17, How19]. Chapter 1 starts by introducing many of the common tools and notation ...

    • Orderings on words and permutations 

      McDevitt, Matthew (University of St Andrews, 2019-12-03) - Thesis
      Substructure orderings are ubiquitous throughout combinatorics and all of mathematics. In this thesis we consider various orderings on words, as well as the consecutive involvement ordering on permutations. Throughout ...

    • Assouad type dimensions and dimension spectra 

      Yu, Han (University of St Andrews, 2019-12-03) - Thesis
      In the first part of this thesis we introduce a new dimension spectrum motivated by the Assouad dimension; a familiar notion of dimension which, for a given metric space, returns the minimal exponent α ≥ 0 such that for ...

    • Semigroup congruences : computational techniques and theoretical applications 

      Torpey, Michael (University of St Andrews, 2019-06-25) - Thesis
      Computational semigroup theory is an area of research that is subject to growing interest. The development of semigroup algorithms allows for new theoretical results to be discovered, which in turn informs the creation ...

    • Computational techniques in finite semigroup theory 

      Wilson, Wilf A. (University of St Andrews, 2019-06-25) - Thesis
      A semigroup is simply a set with an associative binary operation; computational semigroup theory is the branch of mathematics concerned with developing techniques for computing with semigroups, as well as investigating ...