• Effect of equatorially trapped waves on the tropical cyclone drift 

  Hyungeun, Shin (2019-10-03)

  The movement of tropical cyclones (TC) is studied numerically based on a two-dimensional barotropic model, using a previously developed non-oscillatory balanced scheme. The model of TC used here takes an exponential form, ...
• Broadcast independence in graphs 

  Neilson, Linda (2019-08-29)

  The usual graph parameters related to independent and dominating sets can be adapted to broadcasts on graphs. We examine some possible definitions for an inde- pendent broadcast. We determine the minimum maximal and the ...
• On chordal digraphs and semi-strict chordal digraphs 

  Ye, Ying Ying (2019-08-29)

  Chordal graphs are an important class of perfect graphs. The beautiful theory surrounding their study varies from natural applications to elegant characterizations in terms of forbidden subgraphs, subtree representations, ...
• Chromatic polynomials of mixed graphs 

  Wheeler, Mackenzie J. (2019-08-27)

  Let G = (V,A,E) be a mixed graph and co : V → {1, 2,...,λ} a function such that co is a proper colouring of the underlying graph, Und(G), and co(u) ≠ co(y) when co(v) = co(x), for every pair of arcs (u,v) and (x,y). Such ...
• 3-manifolds algorithmically bound 4-manifolds 

  Churchill, Samuel (2019-08-27)

  This thesis presents an algorithm for producing 4–manifold triangulations with boundary an arbitrary orientable, closed, triangulated 3–manifold. The research is an extension of Costantino and Thurston’s work on determining ...
• Graph decompositions and variance balanced block designs of experiments 

  Liu, Meixin (2019-08-20)

  We study construction methods for variance balanced design (VBD) with both uncorrelated and correlated errors, where block designs are used to investigate several treatment effects. We begin with a review for the development ...
• Matrix Gibbs states, factor maps and transfer operators 

  Piraino, Mark (2019-07-16)

  We study two problems. The first concerning ergodic properties of measures on $\S^{\Z}$ such that $\mu_{\A,t}[x_{0}\cdots x_{n-1}]\approx e^{-nP}\norm{A_{x_{0}}\cdots A_{x_{n-1}}}^{t}$ where $\A=(A_{0},\ldots, A_{M-1})$ ...
• Statistical methods for neuroimaging data analysis and cognitive science 

  Song, Yin (2019-05-29)

  This thesis presents research focused on developing statistical methods with emphasis on tools that can be used for the analysis of data in neuroimaging studies and cognitive science. The first contribution addresses the ...
• Analysis of a two fluid model and its comparison with MHD system 

  Shen, Shengyi (2019-05-22)

  In this thesis, we study a two fluid system which describes the motion of two charged particles in a strict neutral incompressible plasma. We study the well-posdness of the system in both space dimensions two and three. ...
• K-theory correspondences and the Fourier-Mukai transform 

  Hudson, Daniel (2019-05-02)

  The goal of this thesis is to give an introduction to the geometric picture of bivariant K-theory developed by Emerson and Meyer building on the ideas Connes and Skandalis, and then to apply this machinery to give a geometric ...
• Ramp approximations of finitely steep sigmoid control functions in soft-switching ODE networks 

  Quee, Graham (2019-04-24)

  In models for networks of regulatory interactions in biological molecules, the sigmoid relationship between concentration of regulating bodies and the production rates they control has lead to the use of continuous time ...
• Minimax robust designs for misspecified regression models 

  Shi, Peilin (2018-11-09)

  Minimax robust designs are studied for regression models with possible misspecified response functions. These designs, minimizing the maximum of the mean squared error matrix, can control the bias caused by model ...
• Relative equilibria in the curved N-body problem 

  Alhowaity, Sawsan Salem (Canadian Mathematical Bulletin, 2018-08-22)

  We consider the curved N-body problem, N > 2, on a surface of constant Gaussian curvature κ ≠ 0; i.e., on spheres S2κ, for κ > 0, and on hyperbolic manifolds H2κ, for κ < 0. Our goal is to define and study relative equilibria, ...
• Waves generated by a load moving on an ice sheet over water 

  Nugroho, Widijanto Satyo (2018-07-25)

  A load moving on a floating ice sheet produces a deflection of the ice sheet. In this Dissertation, three problems associated with mathematical models of the ice water system are examined. A mathematical model involving ...
• Optimal regression design under second-order least squares estimator: theory, algorithm and applications 

  Yeh, Chi-Kuang (2018-07-23)

  In this thesis, we first review the current development of optimal regression designs under the second-order least squares estimator in the literature. The criteria include A- and D-optimality. We then introduce a new ...
• Neural networks and neural fields: discrete and continuous space neural models 

  Edwards, Roderick (2018-07-12)

  'Attractor' neural network models have useful properties, but biology suggests that more varied dynamics may be significant. Even the equations of the Hopfield network, without the constraint of symmetry, can have complex ...
• Mappings on triangular algebras 

  Cheung, Wai-Shun (2018-05-07)

  In this dissertation, we study certain types of linear mappings on triangular algebras. Triangular algebras are algebras whose elements can be written in the form of 2 x 2 matrices [special characters omitted]where a ∈ A, ...
• Irreversible k-threshold conversion processes on graphs 

  Wodlinger, Jane (2018-04-30)

  Given a graph G and an initial colouring of its vertices with two colours, say black and white, an irreversible k-threshold conversion process on G is an iterative process in which a white vertex becomes permanently coloured ...
• Particle systems with quasihomogeneous interaction 

  Stoica, Cristina (2018-03-16)

  In this dissertation we analyse from a qualitative standpoint motion in a quasihomogeneous potential field: we offer a complete description of the flow associated with the two-body problem in quasihomogeneous field, obtain ...
• A program evaluation of applications of Mathematics 10 in British Columbia public schools 

  McAskill, Donald Bruce (2018-02-22)

  This is an outcomes based program evaluation which used a nonequivalent control-group design to determine the effectiveness of the implementation of Applications of Mathematics 10 in British Columbia public schools. The ...

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