Mathematics & Statistics (School of): Recent submissions

Now showing items 1-5 of 405

    • On constructing topology from algebra 

      Elliott, Luke (University of St Andrews, 2022-06-14) - Thesis
      In this thesis we explore natural procedures through which topological structure can be constructed from specific semigroups. We will do this in two ways: 1) we equip the semigroup object itself with a topological structure, ...

    • Interpolating between Hausdorff and box dimension 

      Banaji, Amlan (2023-11-28) - Thesis
      Hausdorff and box dimension are two familiar notions of fractal dimension. Box dimension can be larger than Hausdorff dimension, because in the definition of box dimension, all sets in the cover have the same diameter, but ...

    • Partial differential equation modelling in cancer and development 

      Villa, Chiara (University of St Andrews, 2022-06-14) - Thesis
      This thesis explores various partial differential equation (PDE) models of the spatiotemporal and evolutionary dynamics of cell populations in different problems in cancer and development. In particular, these models are ...

    • Counting processes for spatial capture-recapture 

      van Dam-Bates, Paul (2023-11-28) - Thesis
      Estimates of animal density, the number of individuals per unit area, are critically important for understanding ecological processes affecting wildlife management. Increasingly, modern technology like camera traps and ...

    • Synthetic observational signatures of coronal heating mechanisms from 3D numerical simulations 

      Fyfe, Lianne Elizabeth (University of St Andrews, 2022-06-14) - Thesis
      In this thesis, we investigate the synthetic observables from 3D MHD simulations which explore coronal heating mechanisms. These models include the twisting of magnetic flux tubes, the propagation of transverse oscillations ...