Browsing Applied Mathematics by Title
Now showing items 370-389 of 489
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q-deformed LQG in three dimensional space-time
(University of Waterloo, 2022-08-23)Loop quantum gravity (LQG) is a canonical, background-independent and non-perturbative approach to quantum gravity. This thesis is devoted to studying three-dimensional (3D) quantum gravity with a non-vanishing cosmological ... -
Qualitative Properties of Hybrid Singular Systems
(University of Waterloo, 2019-01-15)A singular system model is mathematically formulated as a set of coupled differential and algebraic equations. Singular systems, also referred to as descriptor or differential algebraic systems, have extensive applications ... -
Qualitative Properties of Stochastic Hybrid Systems and Applications
(University of Waterloo, 2011-09-02)Hybrid systems with or without stochastic noise and with or without time delay are addressed and the qualitative properties of these systems are investigated. The main contribution of this thesis is distributed in three ... -
Qualitative Studies of Nonlinear Hybrid Systems
(University of Waterloo, 2010-12-14)A hybrid system is a dynamical system that exhibits both continuous and discrete dynamic behavior. Hybrid systems arise in a wide variety of important applications in diverse areas, ranging from biology to computer science ... -
Qualitative Theory of Switched Integro-differential Equations with Applications
(University of Waterloo, 2014-08-25)Switched systems, which are a type of hybrid system, evolve according to a mixture of continuous/discrete dynamics and experience abrupt changes based on a switching rule. Many real-world phenomena found in branches of ... -
Quantitative Approaches to the Cancer Stem Cell Hypothesis
(University of Waterloo, 2015-05-08)In this thesis, phenotype switching in cancer cell populations is modeled. We focus on the behavior of cells at the phenotypic level and present mathematical models to capture the results of available experiments. The ... -
Quantum fields and machine learning
(University of Waterloo, 2020-09-25)In this thesis, we use detector models to study various properties of quantum fields. One such property is the correlations present in fields. It is known that two uncorrelated detectors, upon coupling to a quantum field, ... -
Quantum Indefinite Spacetime: Part II
(University of Waterloo, 2018-09-10)We adopt an operational mode of thinking to study spacetime fluctuations and their impacts on questions of quantum gravity. Particular emphasis is put on studying causal structure fluctuations. The study is guided by the ... -
Quantum Reference Frames and The Poincaré Symmetry
(University of Waterloo, 2014-09-19)The concept of a reference frame has been a part of the physical formalism since the early days of physics. The reference frame was always understood as a physical system with respect to which states of other physical ... -
Quasi-Hopf Symmetry in Loop Quantum Gravity with Cosmological constant and Spinfoams with timelike surfaces
(University of Waterloo, 2018-09-20)In this thesis we study two separate problems concerning improvements to the Loop quantum gravity and spinfoam approach to quantum gravity. In the first part we address the question about the origin of quantum group ... -
Quasi-Static Approximation for Numerical Computation of Plasmon Eigenfrequencies in Nanoparticles
(University of Waterloo, 2014-08-28)General physical properties of electrostatic (plasmon) resonances in nanoparticles are presented. Direct calculation of the resonance values of the permittivity of nanoparticles, and subsequently their resonance frequencies, ... -
The quest for "diagnostically lossless" medical image compression using objective image quality measures
(University of Waterloo, 2015-02-18)Given the explosive growth of digital image data being generated, medical communities worldwide have recognized the need for increasingly efficient methods of storage, display and transmission of medical images. For this ... -
Random forcing of geostrophic motion in rotating stratified turbulence
(AIP, 2017-12-29)Random forcing of geostrophic motion is a common approach in idealized simulations of rotating stratified turbulence. Such forcing represents the injection of energy into large-scale balanced motion, and the resulting ... -
Realizing Surface Driven Flows in the Primitive Equations
(University of Waterloo, 2014-08-27)The surface quasi-geostrophic (SQG) model describes the evolution of buoyancy at vertical boundaries in the limit of infinitesimal Rossby number. In this regime, the quasi-geostrophic approximations are expected to hold. ... -
Realizing surface driven flows in the primitive equations
(American Meteorological Society, 2015-05)The surface quasigeostrophic (SQG) model describes flows with surface buoyancy perturbations with no interior quasigeostrophic potential vorticity at small Rossby number Ro and O(1) Burger number, where quasigeostrophic ... -
The Relation between Polygonal Gravity and 3D Loop Quantum Gravity
(University of Waterloo, 2017-09-13)In this thesis, we explore the relation between ’t Hooft polygonal gravity and loop quantum gravity (LQG) - two models of discrete gravity in 2+1 dimensions. While the relation between the two theories has been studied ... -
Relativistic Theory of the Interaction of Two-Dimensional Materials with Moving Charged Particles
(University of Waterloo, 2019-08-08)Prompted by the recent surge of interest in integrating atomically thin layers of conducting materials into nanophotonic and nanoplasmonic devices; we propose, in this thesis, a theoretical framework to analyze the ... -
Resolution Dependence and Subfilter-Scale Motions in Idealized Squall-Line Simulations
(AMS, 2020-07-08)In this paper, the sensitivity of idealized squall-line simulations to horizontal resolution, subgrid turbulence mixing scheme, and subfilter-scale motion is discussed. Inconsistent results from numerical simulations ... -
Resolution Enhancement in Magnetic Resonance Imaging by Frequency Extrapolation
(University of Waterloo, 2008-12-16)This thesis focuses on spatial resolution enhancement of magnetic resonance imaging (MRI). In particular, it addresses methods of performing such enhancement in the Fourier domain. After a brief review of Fourier theory, ... -
Revising Ecological Assumptions About Human Papillomavirus Interactions And Type Replacement
(Elsevier, 2014-06-07)The controversy over whether vaccine-targeted HPV types will be replaced by other oncogenic, non-vaccine-targeted types remains unresolved. This is in part because little is known about the ecology of HPV types. Patient ...