Pure Mathematics Theses: Recent submissions

Now showing items 21-25 of 76

    • Multifractal measures : from self-affine to nonlinear 

      Lee, Lawrence David (University of St Andrews, 2021-12-01) - Thesis
      This thesis is based on three papers the author wrote during his time as a PhD student [28, 17, 33]. In Chapter 2 we study 𝐿[sup]𝑞-spectra of planar self-affine measures generated by diagonal matrices. We introduce ...

    • Enumerating 0-simple semigroups 

      Russell, Christopher (University of St Andrews, 2021-06-29) - Thesis
      Computational semigroup theory involves the study and implementation of algorithms to compute with semigroups. Efficiency is of central concern and often follows from the insight of semigroup theoretic results. In turn, ...

    • Coincidence and disparity of fractal dimensions 

      Burrell, Stuart Andrew (University of St Andrews, 2021-06-29) - Thesis
      We investigate the dimension and structure of four fractal families: inhomogeneous attractors, fractal projections, fractional Brownian images, and elliptical polynomial spirals. For each family, particular attention is ...

    • Subdirect products of free semigroups and monoids 

      Clayton, Ashley (University of St Andrews, 2020-12-01) - Thesis
      Subdirect products are special types of subalgebras of direct products. The purpose of this thesis is to initiate a study of combinatorial properties of subdirect products and fiber products of semigroups and monoids, ...

    • 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 ...