Browsing Mathematics (Faculty of) by Title
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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 ... 
Closing the Modelling Gap: Transfer Learning from a LowFidelity Simulator for Autonomous Driving
(University of Waterloo, 20200124)The behaviour planning subsystem, which is responsible for highlevel decision making and planning, is an important aspect of an autonomous driving system. There are advantages to using a learned behaviour planning system ... 
Clustering behaviour in networks with time delayed alltoall coupling
(University of Waterloo, 20170830)Networks of coupled oscillators arise in a variety of areas. Clustering is a type of oscillatory network behavior where elements of a network segregate into groups. Elements within a group oscillate synchronously, while ... 
Clustering Dependencies over Relational Tables
(University of Waterloo, 20160122)Integrity constraints have proven to be valuable in the database field. Not only can they help schema design (functional dependencies, FDs [1][2]), they can also be used in query optimization (ordering dependencies, ODs ... 
Clustering in the Presence of Noise
(University of Waterloo, 20130826)Clustering, which is partitioning data into groups of similar objects, has a wide range of applications. In many cases unstructured data makes up a significant part of the input. Attempting to cluster such part of the data, ... 
Coefficient spaces arising from locally compact groups
(University of Waterloo, 20200817)This thesis studies two disjoint topics involving coefficient spaces and algebras associated to locally compact groups. First, Chapter 3 investigates the connection between amenability and compactness conditions on locally ... 
Coevolution Of Risk Perception, Sexual Behaviour, And Hiv Transmission In An AgentBased Model
(Elsevier, 20131121)Risk perception shapes individual behaviour, and is in turn shaped by the consequences of that behaviour. Here we explore this dynamics in the context of human immunodeficiency virus (HIV) spread. We construct a simplified ... 
Coherent Beta Risk Measures for Capital Requirements
(University of Waterloo, 1999)This thesis compares insurance premium principles with current financial risk paradigms and uses distorted probabilities, a recent development in premium principle literature, to synthesize the current models for financial ... 
Coherent delocalization in the lightmatter interaction
(University of Waterloo, 20201008)In this thesis, we study coherent delocalization in the lightmatter interaction: we investigate how the coherent center of mass delocalization of a first quantized system affects its interaction with a second quantized ... 
Coherent Distortion Risk Measures in Portfolio Selection
(University of Waterloo, 20110830)The theme of this thesis relates to solving the optimal portfolio selection problems using linear programming. There are two key contributions in this thesis. The first contribution is to generalize the wellknown linear ... 
The Cohomology Ring of a Finite Abelian Group
(University of Waterloo, 20130125)The cohomology ring of a finite cyclic group was explicitly computed by Cartan and Eilenberg in their 1956 book on Homological Algebra. It is surprising that the cohomology ring for the next simplest example, that of a ... 
Cohort study design for illnessdeath processes with disease status under intermittent observation
(Taylor & Francis, 20191212)Cohort studies are routinely conducted to learn about the incidence or progression rates of chronic diseases. The illnessdeath model offers a natural framework for joint consideration of nonfatal events in the semicompeting ... 
A Collapsing Method for Efficient Recovery of Optimal Edges
(University of Waterloo, 2002)In this thesis we present a novel algorithm, <I>HyperCleaning*</I>, for effectively inferring phylogenetic trees. The method is based on the quartet method paradigm and is guaranteed to recover the best supported edges ... 
Collision Finding with Many Classical or Quantum Processors
(University of Waterloo, 20110831)In this thesis, we investigate the cost of finding collisions in a blackbox function, a problem that is of fundamental importance in cryptanalysis. Inspired by the excellent performance of the heuristic rho method of ... 
Colouring Cayley Graphs
(University of Waterloo, 2005)We will discuss three ways to bound the chromatic number on a Cayley graph. 1. If the connection set contains information about a smaller graph, then these two graphs are related. Using this information, we will ... 
Colouring Subspaces
(University of Waterloo, 2005)This thesis was originally motivated by considering vector space analogues of problems in extremal set theory, but our main results concern colouring a graph that is intimately related to these vector space analogues. ... 
Combination of Chemotherapy and Antiangiogenic Therapies: A Mathematical Modelling Approach
(University of Waterloo, 20090908)A brief introduction to cancer biology and treatment is presented with a focus on current clinical advances in the delivery of chemotherapy and antiangiogenic therapies. Mathematical oncology is then surveyed with summaries ... 
Combination of LeveneType Tests and a FiniteIntersection Method for Testing Trends in Variances
(University of Waterloo, 20090430)The problem of detecting monotonic increasing/decreasing trends in variances from k samples is widely met in many applications, e.g. financial data analysis, medical and environmental studies. However, most of the tests ...