Now showing items 1-20 of 52

  • Numerical scalar curvature deformation and a gluing construction 

    Daszuta, Boris
    In this work a new numerical technique to prepare Cauchy data for the initial value problem (IVP) formulation of Einstein's field equations (EFE) is presented. Our method is directly inspired by the exterior asymptotic ...
  • Modelling strategies to improve genetic evaluation for the New Zealand sheep industry 

    Holmes, John Barrett
    The question of how best to optimise the accuracy of genetic evaluation for livestock populations has been given new life by the advent of genomics. Therefore we will investigate methods of evaluating and/or improving the ...
  • Semiparametric dispersal kernels in stochastic spatiotemporal epidemic models 

    Luo, Pei
    The dispersal kernel plays a fundamental role in stochastic spatiotemporal epidemic models. By quantifying the rate at which an infectious source infects a susceptible individual in terms of their separation distance, the ...
  • Contemporary wave–ice interaction models 

    Mosig, Johannes Ernst Manfred
    Sea ice is an important indicator and agent of changes in the global climate system. The ice is affected by waves that travel into the Marginal Ice Zone (MIZ) and cause floes to raft, deform and, potentially, fracture. The ...
  • Asymptotics of solutions in evolutionary formulations of the Einstein constraint equations. 

    Ritchie, Joshua
    Performing a 2+1 split of an initial data set allows one to formulate the Einstein constraint equations as an initial value problem. There are two possible sets of equations that can arise here, the parabolic-hyperbolic ...
  • Inference and Characterization of Planar Trajectories 

    Cao, Zhanglong
    Inference and characterization of planar trajectories have long been the focus of scientific and commercial research. Efficient algorithms for both precise and efficient trajectory reconstruction remain in high demand in ...
  • Focussed Model Averaging in Generalised Linear Models 

    Hong, Chuen Yen
    Model averaging is often used to allow for uncertainty in the model selection process. In the frequentist setting, a model-averaged point estimate is the weighted mean of the estimates from each of the candidate models. ...
  • Properties of Gibbs samplers for inference in genetic mark-recapture models 

    Bran, Paula
    The aim of this thesis is to study the convergence properties of specific MCMC algorithms for sampling from a posterior distribution. The model considered incorporates the uncertainty in the assignment of a legitimate ...
  • Estimating Overdispersion in Sparse Multinomial Data 

    Afroz, Farzana
    The phenomenon of overdispersion arises when the data are more variable than we expect from the fitted model. This issue often arises when fitting a Poisson or a binomial model. When overdispersion is present, ignoring it ...
  • The structure of GCR and CCR groupoid C*-algebras 

    van Wyk, Daniel Willem
    We remove the assumptions of amenability in two theorems of Clark about C*-algebras of locally compact groupoids. The first result is that if the groupoid C*-algebra is GCR, or equivalently then the groupoid's orbits are ...
  • Modeling Continuous Time Series With Many Zeros 

    Wang, Yunan
    Earthquake activity is generally modeled using point processes as earthquake events usually occur at random times and locations. Recent studies have found it mathematically challenging and computationally complex to ...
  • Inverse problems in evolutionary biology 

    Hiscott, Gordon
    In this thesis, we explore three techniques which could be used to increase the efficiency of analyses in evolutionary genetics while still producing reasonably accurate results. The first of these methods improves the ...
  • Mass loss due to gravitational waves with a cosmological constant 

    Saw, Vee-Liem
    The theoretical basis for the energy carried away by gravitational waves that an isolated gravitating system emits was first formulated by Hermann Bondi during the 1960s. Recent findings from looking at distant supernovae ...
  • Analogues of Leavitt path algebras for higher-rank graphs 

    Pangalela, Yosafat Eka Prasetya
    Directed graphs and their higher-rank analogues provide an intuitive framework to study a class of C*-algebras which we call graph algebras. The theory of graph algebras has been developed by a number of researchers and ...
  • C*-algebras generated by semigroups of partial isometries 

    Tolich, Ilija
    This thesis examines the C*-algebras associated to semigroups of partial isometries. There are many interesting examples of C*-algebras generated by families of partial isometries, for example the C*-algebras associated ...
  • Equilibrium States on Toeplitz Algebras 

    Afsar, Zahra
    This thesis describes the equilibrium states (the KMS states) of dynamical systems arising from local homeomorphisms. It has two main components. First, we consider a local homeomorphism on a compact space and the ...
  • KMS states of graph algebras with a generalised gauge dynamics 

    McNamara, Richard Stuart Charles
    The goal of this thesis is to study the KMS states of graph algebras with a generalised gauge dynamics. We start by studying the KMS states of the Toeplitz algebra and graph algebra of a finite directed graph, each with ...
  • Flat Embeddings of Genetic and Distance Data 

    Balvočiūtė, Monika
    The idea of displaying data in the plane is very attractive in many different fields of research. This thesis will focus on distance-based phylogenetics and multidimensional scaling (MDS). Both types of method can be viewed ...
  • Studies of spacetimes with spatial topologies S3 and S1 X S2 

    Escobar , Leon
    The purpose of this work is to introduce a new analytical and numerical approach to the treatment of the initial value problem for the vacuum Einstein field equations on spacetimes with spatial topologies S3 or S1 × S2 and ...
  • Towards a Fast Bayesian Climate Reconstruction 

    Green, Peter
    To understand global climate prior to the availability of widespread instrumental data, we need to reconstruct temperatures using natural proxies such as tree rings. For reconstructions of a temperature field with multiple ...