Browsing Applied Mathematics by Title
Now showing items 362-381 of 491
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Port-based teleportation of continuous quantum variables
(University of Waterloo, 2014-08-27)Quantum teleportation allows to transmit quantum information using classical information and entanglement only. Port-based teleportation is a variation of this procedure that involves simpler recovery operations to obtain ... -
Prandtl number dependence of stratified turbulence
(Cambridge, 2020-09-21)Stratified turbulence has a horizontally layered structure with quasi-two-dimensional vortices due to buoyancy forces that suppress vertical motion. The Prandtl number Pr quantifies the relative strengths of viscosity ... -
Prandtl number dependence of stratified turbulence
(University of Waterloo, 2019-08-15)Stratified turbulence is affected by buoyancy forces that suppress vertical motion, resulting in a horizontally-layered structure with quasi-two-dimensional vortices. The Prandtl number Pr quantifies the relative strengths ... -
Preconditioning of Hybridizable Discontinuous Galerkin Discretizations of the Navier-Stokes Equations
(University of Waterloo, 2021-05-19)The incompressible Navier-Stokes equations are of major interest due to their importance in modelling fluid flow problems. However, solving the Navier-Stokes equations is a difficult task. To address this problem, in this ... -
Predictability of Stratified Turbulence
(University of Waterloo, 2023-05-19)In the study of geophysical fluid dynamics, predictability of dynamics at different scales still stands in the foreground of interest as one of the primary challenges. Following Lorenz's pioneering framework, several results ... -
Pricing CPPI Capital Guarantees: A Lagrangian Framework
(University of Waterloo, 2011-09-28)A robust computational framework is presented for the risk-neutral valuation of capital guarantees written on discretely-reallocated portfolios following the Constant Proportion Portfolio Insurance (CPPI) strategy. Aiming ... -
A Probabilistic Approach to Image Feature Extraction, Segmentation and Interpretation
(University of Waterloo, 2000)This thesis describes a probabilistic approach to imagesegmentation and interpretation. The focus of the investigation is the development of a systematic way of combining color, brightness, texture and geometric features ... -
Probabilistic Properties of Delay Differential Equations
(University of Waterloo, 2004)Systems whose time evolutions are entirely deterministic can nevertheless be studied probabilistically, <em>i. e. </em> in terms of the evolution of probability distributions rather than individual trajectories. This ... -
Probing Quantum Fields: Measurements and Quantum Energy Teleportation
(University of Waterloo, 2017-01-10)Quantum Energy Teleportation provides a testbed for modern ideas involving the interplay between quantum correlations and energy in the quantum thermodynamical regime. In this work, we provide a new class of Quantum Energy ... -
Properties of difference inclusions with computable reachable set
(University of Waterloo, 2023-12-13)Dynamical systems have important applications in science and engineering. For example, if a dynamical system describes the motion of a drone, it is important to know if the drone can reach a desired location; the dual ... -
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 ...