Mathematics & Statistics (School of): Recent submissions

Now showing items 1-5 of 360

    • 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 ...

    • Movement ecology and conservation : the case of African vultures 

      Estevinho Santos Faustino, Cláudia (University of St Andrews, 2020-07-28) - Thesis
      The movements of critically endangered vultures, equipped with satellite-based tracking devices in Namibia, were inspected using Generalized Additive Models. Models incorporated spatially adaptive (1D and 2D) smooths via ...

    • Electron acceleration in auroral field-aligned currents 

      Cran-McGreehin, Alexandra P. (University of St Andrews, 2006-11-30) - Thesis
      Field-aligned currents at Earth's high latitudes are principally carried by accelerated electrons. Current densities, typically ~µAm⁻² at ionospheric altitudes, are sustained by parallel potential drops of ~100 - 1000 V. ...

    • Modelling solar coronal magnetic field evolution 

      Goldstraw, Erin Elizabeth (University of St Andrews, 2019-12-03) - Thesis
      Footpoint motions at the photosphere can inject energy into the magnetic field in the solar corona. This energy is then released in the corona as heat. There are many mathematical approaches to model the evolution of these ...

    • Mathematical modelling of cancer invasion and metastatic spread 

      Franssen, Linnea Christin (University of St Andrews, 2019-12-03) - Thesis
      Metastatic spread—the dissemination of cancer cells from a primary tumour with subsequent re-colonisation at secondary sites in the body—causes around 90% of cancer-related deaths. Mathematical modelling may provide a ...