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Browsing School of Mathematics and Statistics · Te Kura Mātai Tatauranga by Issue Date

Browsing School of Mathematics and Statistics · Te Kura Mātai Tatauranga by Issue Date

Now showing items 1-20 of 150

A Novel Framework for Constructing Sport-Based Rating Systems

Patel, Ankit (Victoria University of Wellington, 2020)

This doctoral thesis examines the multivariate nature of sporting performances, expressed as performance on context specific tasks, to develop a novel framework for constructing sport-based rating systems, also referred ...
Modelling Surtseyan Ejecta

Greenbank, Emma (Victoria University of Wellington, 2020)

Eruptions through crater lakes or shallow sea water, known as Subaqueous or Surtseyan eruptions, are some of the most dangerous eruptions in the world. These eruptions can cause tsunamis, lahars and base surges, but the ...
On matroids that are transversal and cotransversal

Jose, Meenu Mariya (Victoria University of Wellington, 2020)

There are distinct differences between classes of matroids that are closed under principal extensions and those that are not Finite-field-representable matroids are not closed under principal extensions and they exhibit ...
Strongly Graded C*-algebras

Dawson, Ellis (Victoria University of Wellington, 2020)

We investigate strongly graded C*-algebras. We focus on graph C*-algebras and explore the connection between graph C*-algebras and Leavitt path algebras, both of which are $\Z$-graded. It is known that a graphical condition ...
Investigation of the Rotokawa Geothermal System and Feasibility of Supercritical Fluid Production within the TVZ through Supercritical TOUGH2 Numerical Modeling.

Carson, Benjamin (Victoria University of Wellington, 2020)

A single fault process model was created to test the sensitivity of each TOUGH2 rock parameter on the convection flow rate and fluid enthalpy within a simulated fault. With a fixed temperature base the single fault process ...
Quantum Entanglement in Time

Rajan, Del (Victoria University of Wellington, 2020)

This thesis is in the field of quantum information science, which is an area that reconceptualizes quantum physics in terms of information. Central to this area is the quantum effect of entanglement in space. It is an ...
Towards Unavoidable Minors of Binary 4-connected Matroids

Jowett, Susan (Victoria University of Wellington, 2019)

We show that for every n ≥ 3 there is some number m such that every 4-connected binary matroid with an M (K3,m)-minor or an M* (K3,m)-minor and no rank-n minor isomorphic to M* (K3,n) blocked in a path-like way, has a minor ...
On the Connections between Thermodynamics and General Relativity

Santiago Silva, Jessica (Victoria University of Wellington, 2019)

In this thesis, the connections between thermodynamics and general relativity are explored. We introduce some of the history of the interaction between these two theories and take some time to individually study important ...
A Constraint-Based Approach to Manipulator Kinematics and Singularities

Amirinezhad, Seyedvahid (Victoria University of Wellington, 2019)

In this thesis, a differential-geometric approach to the kinematics of multibody mechanisms is introduced that enables analysis of singularities of both serial and parallel manipulators in a flexible and complete way. ...
State estimation for dynamic weighing using Kalman filter

Pitawala, Sunethra (Victoria University of Wellington, 2019)

Dynamic weighing has become an essential requirement in a diverse range of industries. Dynamic weighing is different from static weighing in that static weighing involves determining the weight while the product being ...
Modelling the probability of capture for New Zealand's longfin eels ('Anguilla dieffenbachii') and shortfin eels ('Anguilla australis')

Charsley, Anthony (Victoria University of Wellington, 2019)

Longfin eel and shortfin eel probability of capture models can be used to build probability of capture maps. These maps can help identify eel encounter hotspots in New Zealand and are useful for managing and conserving the ...
Mathematical Modelling of Blood Flow in Arteries

Peach, Elijah (Victoria University of Wellington, 2019)

Herein contained is an exploration into mathematical modelling pertaining to blood flow in arteries. Previous models are considered as well as a new model derived. Some properties of these new models are investigated. They ...
Traversable Wormholes, Regular Black Holes, and Black-Bounces

Simpson, Alex (Victoria University of Wellington, 2019)

Various spacetime candidates for traversable wormholes, regular black holes, and ‘black-bounces’ are presented and thoroughly explored in the context of the gravitational theory of general relativity. All candidate spacetimes ...
Characterisations of Pseudo-Amenability

Vujičić, Aleksa (Victoria University of Wellington, 2019)

We start this thesis by introducing the theory of locally compact groups and their associated Haar measures. We provide examples and prove important results about locally compact and more specifically amenable groups. One ...
Mathematical models for blood flow in elastic vessels: Theory and numerical analysis

Li, Qian (Victoria University of Wellington, 2019)

In this thesis we study model equations that describe the propagation of pulsatile flow in elastic vessels. Since dealing with the Navier-Stokes equations is a very difficult task, we derive new asymptotic weakly non-linear ...
Black Hole Evaporation: Sparsity in Analogue and General Relativistic Space-Times

Schuster, Sebastian (Victoria University of Wellington, 2018)

Our understanding of black holes changed drastically, when Stephen Hawking discovered their evaporation due to quantum mechanical processes. One core feature of this effect, later named after him, is both its similarity ...
Analysis and Prediction of High Frequency Foreign Exchange Data

Kennedy, Adrian Patrick (Victoria University of Wellington, 2018)

This thesis investigates the stochastic properties of high frequency foreign exchange data. We study the exchange rate as a process driven by Brownian motion, paying particular attention to its sampled total variation, ...
Randomness in classes of matroids

Critchlow, William (Victoria University of Wellington, 2018)

This thesis is inspired by the observation that we have no good random model for matroids. That stands in contrast to graphs, which admit a number of elegant random models. As a result we have relatively little understanding ...
Chordality in Matroids: In Search of the Converse to Hliněný's Theorem

Probert, Andrew (Victoria University of Wellington, 2018)

Bodlaender et al. [7] proved a converse to Courcelle's Theorem for graphs [15] for the class of chordal graphs of bounded treewidth. Hliněný [25] generalised Courcelle's Theorem for graphs to classes of matroids represented ...
Estimation and Probabilistic Linkage in Sample Surveys of Anonymous Organisations

Jury, Nicholas (Victoria University of Wellington, 2017)

Drug use takes on many forms, normally this will be just the occasional alcoholic drink, certain individuals drug use develops into habitual use, or more extreme drugs, and then into full addiction. Some of these addicted ...