• Well-posedness and blowup results for the swirl-free and axisymmetric primitive equations in a cylinder 

  SadatHosseiniKhajouei, Narges (2022-05-02)

  This thesis is devoted to the motion of the incompressible and inviscid flow which is ax- isymmetric and swirl-free in a cylinder, where the hydrostatic approximation is made in the axial direction. It addresses the ...
• The dynamics of Pythagorean Triples 

  Acar, Nazim (2022-04-27)

  A Pythagorean Triple($PT$) is a triple of positive integers $(a,b,c)$, that satisfies\\ $a^2+b^2=c^2$. By requiring two of the entries being relatively prime, $(a,b,c)$ becomes a Primitive Pythagorean Triple($PPT$). This ...
• Splitting factor maps into s- and u-bijective maps 

  Buric, Dina (2022-01-04)

  We model hyperbolic toral automorphisms by two types of Smale spaces; shifts of finite type and substitution tilings spaces. Smale spaces are dynamical systems with local hyperbolic product structure. In 1970, Bowen ...
• Complexity of frugal homomorphisms 

  Bard, Stefan (2021-12-20)

  Let t >= 1 be an integer. A k-colouring of a graph G is called t-frugal if no colour is assigned to more than t vertices in the neighbourhood of any vertex. Similarly, a homomorphism of G to H is t-frugal if no vertex of ...
• A multistate extension of the Jolly-Seber model: combining adult mark-recapture data with juvenile data 

  Halverson-Duncan, Brittany (2021-10-28)

  The Laskeek Bay Conservation Society has been collecting data on the East Limestone Island population of Ancient Murrelets since 1990. For the first 15 years of this decades-long study, mark-recapture data was collected ...
• Statistical methods for imaging data, imaging genetics and sparse estimation in linear mixed models 

  Opoku, Eugene A. (2021-10-21)

  This thesis presents research focused on developing statistical methods with emphasis on techniques that can be used for the analysis of data in imaging studies and sparse estimations for applications in high-dimensional ...
• The spatial dependence between hypoxia and cytotoxic T cells in tumor microenvironment 

  Guo, Changhao (2021-10-01)

  The objective of this thesis is to examine the relationship between CAIX (a biomarker for insufficient oxygen in tumor microenvironment) and CD8+ T cells (the immune cells for killing cancer cells) for ovarian cancer. We ...
• A new survey on the firefighter problem 

  Wagner, Connor (2021-09-01)

  Firefighter is a discrete-time dynamic process that models the spread of a virus or rumour through a network. The name “Firefighter” arises from the initial analogy being the spread of fire among the vertices of a graph. ...
• Gamma-Switchable 2-Colourings of (m,n)-Mixed Graphs 

  Kidner, Arnott (2021-08-31)

  A $(m,n)$-mixed graph is a mixed graph whose edges are assigned one of $m$ colours, and whose arcs are assigned one of $n$ colours. Let $G$ be a $(m,n)$-mixed graph and $\pi=(\alpha,\beta,\gamma_1,\gamma_2,\ldots,\gamma_n)$ ...
• The coupling of uniform spanning trees and quantitative Russo-Seymour-Welsh for random walk on random graphs 

  Yu, Tingzhou (2021-08-25)

  The central concern of this thesis is the study of the Russo-Seymour-Welsh (RSW) theory. The first contribution of this thesis is a macroscopic decorrelation result for uniform spanning trees (USTs) on random planar ...
• Renormalization procedures for C*-algebras 

  Hume, Jeremy (2021-08-18)

  Renormalization procedures for families of dynamical systems have been used to prove many interesting results. Examples of results include that the bifurcation rate for the attractors of an analytic one-parameter family ...
• 2-limited broadcast domination on grid graphs 

  Slobodin, Aaron (2021-07-29)

  Suppose there is a transmitter located at each vertex of a graph G. A k-limited broadcast on G is an assignment of the integers 0,1,...,k to the vertices of G. The integer assigned to the vertex x represents the strength ...
• Learning COVID-19 network from literature databases using core decomposition 

  Guo, Yang (2021-07-22)

  The SARS-CoV-2 coronavirus is responsible for millions of deaths around the world. To help contribute to the understanding of crucial knowledge and to further generate new hypotheses relevant to SARS-CoV-2 and human protein ...
• Within-host dynamics of HIV/AIDS 

  Xie, Xinqi (2021-05-03)

  This thesis first investigates within-host HIV models for the acute stage. These models incorporate the immune responses and helper T cells produced from the activation of naive CD4 T cells. Because both naive CD4 T cells ...
• Minimax D-optimal designs for regression models with heteroscedastic errors 

  Yzenbrandt, Kai (2021-04-20)

  Minimax D-optimal designs for regression models with heteroscedastic errors are studied and constructed. These designs are robust against possible misspecification of the error variance in the model. We propose a flexible ...
• Data analysis of salmonid environmental DNA measurements obtained via controlled experiments and from several Pacific streams 

  Sneiderman, Robert (2021-01-13)

  Standard sampling and monitoring of fish populations are invasive and time- consuming techniques. The ongoing development of statistical techniques to analyze environmental DNA (eDNA) introduces a possible solution to these ...
• Generating function approach for the effective degree SIR Model 

  Manke, Kurtis (2021-01-05)

  The effective degree model has been applied to both SIR and SIS type diseases (those which confer permanent immunity and those which do not, respectively) with great success. The original model considers a large system ...
• The hot, magnetized, relativistic Vlasov Maxwell system 

  Preissl, Dayton (2021-01-04)

  This master thesis is devoted to the kinetic description in phase space of strongly magnetized plasmas. It addresses the problem of stability near equilibria for magnetically confined plasmas modeled by the relativistic ...
• Ramp function approximations of Michaelis-Menten functions in biochemical dynamical systems 

  Dore-Hall, Skye (2020-12-22)

  In 2019, Adams, Ehlting, and Edwards developed a four-variable system of ordinary differential equations modelling phenylalanine metabolism in plants according to Michaelis-Menten kinetics. Analysis of the model suggested ...
• Sarvate-beam group divisible designs and related multigraph decomposition problems 

  Niezen, Joanna (2020-09-30)

  A design is a set of points, V, together with a set of subsets of V called blocks. A classic type of design is a balanced incomplete block design, where every pair of points occurs together in a block the same number of ...

View more