Browsing Mathematics (Faculty of) by Title
Now showing items 1345-1364 of 3012
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Individual insurance choice: A stochastic control approach
(University of Waterloo, 2023-02-28)This thesis applies the stochastic control approach to study the optimal insurance strategy for three problems. The first problem studies the optimal non-life insurance for an individual exhibiting internal habit formation ... -
Induced Binary Submatroids
(University of Waterloo, 2021-07-21)The notion of induced subgraphs is extensively studied in graph theory. An example is the famous Gy\'{a}rf\'{a}s-Sumner conjecture, which asserts that given a tree $T$ and a clique $K$, there exists a constant $c$ such ... -
Induced Subgraphs and Tree Decompositions III. Three-Path-Configurations and Logarithmic Treewidth.
(Advances in Combinatorics, 2022-09-09)A theta is a graph consisting of two non-adjacent vertices and three internally disjoint paths between them, each of length at least two. For a family H of graphs, we say a graph G is H-free if no induced subgraph of G is ... -
Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes
(Elsevier, 2020-01)We prove a conjecture of András Gyárfás, that for all k, l, every graph with clique number at most κ and sufficiently large chromatic number has an odd hole of length at least ℓ. -
Induction Relations in the Symmetric Groups and Jucys-Murphy Elements
(University of Waterloo, 2018-08-16)Transitive factorizations faithfully encode many interesting objects. The well-known ones include ramified coverings of the sphere and hypermaps. Enumeration of specific classes of such objects have been known for quite ... -
Infectious Disease Modeling with Interpersonal Contact Patterns as a Heterogeneous Network
(University of Waterloo, 2016-09-26)In this thesis, we study deterministic compartmental epidemic models. The conventional mass-mixing assumption is replaced with infectious disease contraction occurring within a heterogeneous network. Modeling infectious ... -
Inference for Continuous Stochastic Processes Using Gaussian Process Regression
(University of Waterloo, 2014-01-21)Gaussian process regression (GPR) is a long-standing technique for statistical interpolation between observed data points. Having originally been applied to spatial analysis in the 1950s, GPR offers highly nonlinear ... -
Inference Methods for Noisy Correlated Responses with Measurement Error
(University of Waterloo, 2020-09-25)Studying complex relationships between correlated responses and the associated covariates has attracted much research interest. Numerous approaches have been developed to model correlated responses. However, most available ... -
Inferring Chemical Reaction Rates from a Sequence of Infrared Spectra
(University of Waterloo, 2016-01-22)Many chemical compounds used by the energy and agricultural industries introduce large amounts of arsenic into the environment. As this poses serious health and environmental risks, designing safe and effective decontaminating ... -
Infinite graphs, graph-like spaces and B-matroids
(University of Waterloo, 2011-01-19)The central theme of this thesis is to prove results about infinite mathematical objects by studying the behaviour of their finite substructures. In particular, we study B-matroids, which are an infinite generalization ... -
Infinite Sequences and Pattern Avoidance
(University of Waterloo, 2004)The study of combinatorics on words dates back at least to the beginning of the 20th century and the work of Axel Thue. Thue was the first to give an example of an infinite word over a three letter alphabet that contains ... -
Infinite Sets of D-integral Points on Projective Algebrain Varieties
(University of Waterloo, 2005)Let <em>X</em>(<em>K</em>) ⊂ <strong>P</strong><sup><em>n</em></sup> (<em>K</em>) be a projective algebraic variety over <em>K</em>, and let <em>D</em> be a subset of <strong>P</strong><sup><em>n</em></sup><sub><em>O ... -
Infinite-dimensional Kalman Filtering and Sensor Placement Problem
(University of Waterloo, 2016-08-03)One of the central problems in engineering is to estimate the state of a stochastic dynamic system from limited noisy measurements. A Kalman filter is commonly used for state estimation, which produces an unbiased optimal ... -
Inflation derivatives pricing with a forward CPI model
(University of Waterloo, 2010-05-21)The Zero-Coupon Inflation Indexed Swap (ZCIIS) is a derivative contract through which inflation expectations on the Consumer Price Index (CPI) are actively traded in the US. In this thesis we consider different ways to use ... -
The Influence of Mesoscale Eddies on the Internal Tide
(University of Waterloo, 2009-08-21)The barotropic tide dissipates a well established estimate of 2.5 TW of energy at the M2 frequency. Bottom topography is responsible for part of this dissipation, and the generation of the internal tide is also partly ... -
The influence of social behaviour on competition between virulent pathogen strains
(Elsevier, 2018-10-14)Infectious disease interventions like contact precautions and vaccination have proven effective in disease control and elimination. The priority given to interventions can depend strongly on how virulent the pathogen is, ... -
The Influence Of Social Norms On The Dynamics Of Vaccinating Behaviour For Paediatric Infectious Diseases
(Royal Society, The, 2014-04-07)Mathematical models that couple disease dynamics and vaccinating behaviour often assume that the incentive to vaccinate disappears if disease prevalence is zero. Hence, they predict that vaccine refusal should be the rule, ... -
Influence of the Atlantic Multidecadal Variability on the climate response to external forcing
(University of Waterloo, 2018-08-29)Internal climate variability has been found to influence the climate response to an external forcing such as CO2. This thesis investigates the influence of the Atlantic Multidecadal Variability (AMV), a mode of internal ... -
Information Access Using Neural Networks For Diverse Domains And Sources
(University of Waterloo, 2023-09-05)The ever-increasing volume of web-based documents poses a challenge in efficiently accessing specialized knowledge from domain-specific sources, requiring a profound understanding of the domain and substantial comprehension ... -
Information flow at the quantum-classical boundary
(University of Waterloo, 2008-08-28)The theory of decoherence aims to explain how macroscopic quantum objects become effectively classical. Understanding this process could help in the search for the quantum theory underlying gravity, and suggest new schemes ...