Browsing Mathematics and Statistics by Title
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Affect and Identity: The Mathematical Journeys of Adolescents
This research captured the mathematical journeys of 31 New Zealand students over two years of their adolescence. The research framework combined a conceptualisation of identities with the notion in the affective domain of ... 
Analogues of Leavitt path algebras for higherrank graphs
Directed graphs and their higherrank 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 ... 
Analysis of images of ice floes
This talk will address the problem of determining the semirigid motion of an ice floe from a series of grayscale images of the floe. The analysis will start with the global properties of the images. The next step is to ... 
Asymptotics of solutions in evolutionary formulations of the Einstein constraint equations.
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 parabolichyperbolic ... 
Bayesian analysis of oncogenic pathway activation
Through the use of microarray technology researchers are now able to si multaneously measure the expression levels of tens of thousands of genes. Amoung other things, this allows the construction of profiles of activation ... 
The behaviour of sea ice in ocean waves
The entry of ocean waves from the open sea into pack ice is a feature of the marginal ice zone which has important consequences for navigation and the construction of offshore structures in iceinfested seas. In turn it ... 
C*algebras generated by semigroups of partial isometries
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 ... 
Contemporary wave–ice interaction models
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 ... 
The Development of Number Sense and Mental Computation Proficiencies: An Intervention Study with Secondary One Students in Brunei Darussalam
This thesis reports on the development of number sense and mental computation proficiencies and their relationship to selected affective variables of Secondary 1 students, following an instructional intervention that lasted ... 
Effect of chemokine superdiffusion on leucocyte chemotaxis
Chemotaxis is the major cytotaxic mechanism that leads the movement of phagocytes in the tissue towards the harmful agents. Loss of phagocytes ability to track and respond to danger signals can lead to chronic infections, ... 
The efficiency of adaptive cluster sampling
Adaptive cluster sampling has been suggested as an efficient sampling technique for rare and patchy populations. In this thesis the question asked is: how useful is the design for ecologists? Simulated and real ecological ... 
Environmental stochasticity and density dependence in animal population models
Biological management of populations plays an indispensable role in all areas of population biology. In deciding between possible management options, one of the most important pieces of information required by population ... 
Equilibrium States on Toeplitz Algebras
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 ... 
Estimating Overdispersion in Sparse Multinomial Data
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 ... 
Features of written proofs from New Zealand IMO students
This research investigated the linguistic features of written mathematical proofs, and partial proofs, from a small group of secondary school mathematics students in New Zealand. The linguistic features included are ... 
Flat Embeddings of Genetic and Distance Data
The idea of displaying data in the plane is very attractive in many different fields of research. This thesis will focus on distancebased phylogenetics and multidimensional scaling (MDS). Both types of method can be viewed ... 
Focussed Model Averaging in Generalised Linear Models
Model averaging is often used to allow for uncertainty in the model selection process. In the frequentist setting, a modelaveraged point estimate is the weighted mean of the estimates from each of the candidate models. ... 
Frequentist ModelAveraged Confidence Intervals
Model averaging is a technique used to account for model uncertainty in the process of multimodel inference. A frequentist modelaveraged estimator is defined as a weighted average of the singlemodel estimates resulting ... 
Grünwaldtype approximations and boundary conditions for onesided fractional derivative operators
The focus of this thesis is twofold. The first part investigates higher order numerical schemes for onedimensional fractionalinspace partial differential equations in 𝐿₁(ℝ). The approximations for the (space) fractional ... 
Hidden Markov Models for TimeInhomogeneous and Incompletely Observed Point Processes
Many point processes such as earthquakes or volcanic eruptions usually have incomplete records with the degree of incompleteness varying over time. Consequently, hazard estimation from such timeinhomogeneous incomplete ...