Browsing Mathematics (Faculty of) by Title
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Challenges in epidemiological modelling: from sociovirulence dynamics to HIV interventions in MSM populations.
(University of Waterloo, 20200928)The spread of infectious diseases is one of the biggest challenges that public health faces nowadays. Their control is often not an easy task. Social behaviour plays an important role in disease prevention. However, the ... 
Change Point Analysis in Piecewise Polynomial Signals Using Trend Filtering
(University of Waterloo, 20210927)Change point analysis, an active area of research in many fields, including statistics, has attracted a lot of attention in recent years. The focus of this thesis is change point detection, where the purpose is to estimate ... 
Character Polynomials and Lagrange Inversion
(University of Waterloo, 2005)In this thesis, we investigate two expressions for symmetric group characters: Kerov?s universal character polynomials and Stanley?s character polynomials. We give a new explicit form for Kerov?s polynomials, which ... 
A Characterization of LYM and Rank Logarithmically Concave Partially Ordered Sets and Its Applications
(University of Waterloo, 20100121)The LYM property of a finite standard graded poset is one of the central notions in Sperner theory. It is known that the product of two finite standard graded posets satisfying the LYM properties may not have the LYM ... 
Characterization of nonuniversal twoqubit Hamiltonians
(University of Waterloo, 20091216)It is known that almost all 2qubit gates are universal for quantum computing (Lloyd 1995; Deutsch, Barenco, Eckert 1995). However, an explicit characterization of nonuniversal 2qubit gates is not known. We consider a ... 
Characterizing Hardness in Parameterized Complexity
(University of Waterloo, 20070518)Parameterized complexity theory relaxes the classical notion of tractability and allows to solve some classically hard problems in a reasonably efficient way. However, many problems of interest remain intractable in the ... 
Characterizing Noise in Quantum Systems
(University of Waterloo, 20120726)In practice, quantum systems are not completely isolated from their environment and the resulting systemenvironment interaction can lead to information leakage from the system. As a result, if a quantum system is to be ... 
Characterizing User Search Intent and Behavior for Click Analysis in Sponsored Search
(University of Waterloo, 20130524)Interpreting user actions to better understand their needs provides an important tool for improving information access services. In the context of organic Web search, considerable effort has been made to model user behavior ... 
Circle Graph Obstructions
(University of Waterloo, 20170831)In this thesis we present a selfcontained proof of Bouchet’s characterization of the class of circle graphs. The proof uses signed graphs and is analogous to Gerards’ graphic proof of Tutte’s excludedminor characterization ... 
ClaferMPS: Modeling and Optimizing Automotive Electric/Electronic Architectures Using DomainSpecific Languages
(University of Waterloo, 20170123)Modern automotive electric/electronic (E/E) architectures are growing to the point where architects can no longer manually predict the effects of their design decisions. Thus, in addition to applying an architecture reference ... 
Classical and Quantum Algorithms for Isogenybased Cryptography
(University of Waterloo, 20150930)Isogenybased cryptography using supersingular elliptic curves  most prominently, the constructions of De FeoJaoPlut  is one of the few practical candidates for postquantum public key cryptography. Its formidable ... 
Classical Authenticated Key Exchange and Quantum Cryptography
(University of Waterloo, 20090316)Cryptography plays an integral role in secure communication and is usually the strongest link in the chain of security. Yet security problems abound in electronic communication: spyware, phishing, denial of service, and ... 
Classical Field Theory in the BV Formalism
(University of Waterloo, 20160920)This document is a review of the perspective on classical eld theories presented in [2] and [3]. 
Classification and DecisionTheoretic Framework for Detecting and Reporting Unseen Falls
(University of Waterloo, 20160218)Detecting falls is critical for an activity recognition system to ensure the well being of an individual. However, falls occur rarely and infrequently, therefore sufficient data for them may not be available during training ... 
Classification of Finitely Generated Operator Systems
(University of Waterloo, 20180122)For the past few decades operator systems and their C*envelopes have provided an invaluable tool for studying the theory of C*algebras and positive maps. They provide the natural context in which to study the theory of ... 
Classification of Nilpotent Lie Algebras of Dimension 7 (over Algebraically Closed Field and R)
(University of Waterloo, 1998)This thesis is concerned with the classification of 7dimensional nilpotent Lie algebras. Skjelbred and Sund have published in 1977 their method of constructing all nilpotent Lie algebras of dimension <i>n</i> given those ... 
CLBlood: A CellBased Light Interaction Model for Human Blood
(University of Waterloo, 20120119)The development of predictive appearance models for organic tissues is a challenging task due to the inherent complexity of these materials. In this thesis, we closely examine the biophysical processes responsible for the ... 
Clifford Simulation: Techniques and Applications
(University of Waterloo, 20210528)Despite the widespread belief that quantum computers cannot be efficiently simulated classically, efficient simulation is known to be possible in certain restricted regimes. In particular, the GottesmanKnill theorem states ... 
Climate Change Risk in Stock Markets
(University of Waterloo, 20200120)Climate change is becoming a common threat to the world and has been studied by scholars in various fields. In the field of finance, many papers have discussed financial market efficiency toward climate change in order to ... 
Cliques, Degrees, and Coloring: Expanding the ω, Δ, χ paradigm
(University of Waterloo, 20190809)Many of the most celebrated and influential results in graph coloring, such as Brooks' Theorem and Vizing's Theorem, relate a graph's chromatic number to its clique number or maximum degree. Currently, several of the most ...