MATH Theses and Dissertations
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Applied topological data analysis to ElNiño Southern Oscillation
(Wichita State University, 202107)The El Niño Southern Oscillation (ENSO) is one of the most powerful climate phenomena that can change global air circulation, affecting temperature and rainfall around the planet. ENSO has three phases: El Niño and La ... 
Ricci tensor under conformal change of metric as an elementary obstruction to certain Einstein metrics
(Wichita State University, 202107)Gregorio RicciCurbastro, (18531925) Bologna, was an Italian mathematician and a professor at the University of Padua from 1880 1925. He was the rst to introduce the systematic theory of tensor analysis in 1887 with a ... 
Positive (p, n)intermediate scalar curvature and GromovLawson cobordism
(Wichita State University, 202108)In this thesis we consider a well known construction due to Gromov, Lawson, and Gajer which allows for the extension of a metric of positive scalar curvature over the trace of a surgery in codimension at least 3 to a ... 
A pseudo restricted maximum likelihood estimator under multivariate simple tree order restriction and an algorithm
(Wichita State University, 202107)The minimum distance projection of a given matrix $X \in R^{pxq}$ onto the order restricted cone in an appropriately defined inner product system, $\pi(XC_{pxq}),$ plays an important role in order restricted statistical ... 
On the inverse gravimetry problem with minimal data
(Wichita State University, 202107)In this dissertation we considered the inverse source problem $\Delta u = \mu,$ where lim $u (x) = 0$ as x goes to $\infty$ and $\mu$ is zero outside a bounded domain $\Omega$. The inverse problem of gravime try is to ... 
Stellar modeling with lowtemperature onthefly opacity
(Wichita State University, 202105)Accurate stellar modeling requires using our understanding of phenomena far smaller than humans can observe to study some of the largest objects in the universe. One quantity that bridges this gap is the mean opacity, ... 
Monte Carlo simulations of a spacebased dark matter detector
(Wichita State University, 202105)It has been well established that a large percentage of the material in the universe is in an undiscovered form; Dark Matter. Most of this material is gravitationally condensed together as galaxies and clusters of galaxies. ... 
The Hopf Conjecture with abelian symmetries
(Wichita State University, 202105)The Hopf Conjecture states that for closed, orietable, evendimensional manifolds, the Euler characteristic is strictly positive. Results due independently to P uttmann and Searle [13] and Rong [14], and due to Rong and ... 
Improvement of the nova near detector event reconstruction and primary vertexing through the application of machine learning methods
(Wichita State University, 202012)The purpose of this work is to examine the application of a deep learning model in event reconstruction of neutrino interactions. The challenges faced in event reconstruction include the placement of an accurate primary ... 
Superconvergence of discontinuous Galerkin method for linear hyperbolic equations
(Wichita State University, 202012)This thesis is concerned with the investigation of the superconvergence of the Discontinuous Method for linear conservation laws. We use Fourier analysis to study the superconvergence of the semidiscrete discontinuous ... 
Study of Morin transition in hematite (a Fe₂O₃) nanoparticles by Mössbauer spectroscopy
(Wichita State University, 202007)The change in magnetic properties of hematite (a Fe₂O₃) nanoparticles were investigated by observing the change of Morin transition fraction at different temperatures. Xray diffraction, transimission electron microscope ... 
Neutrino detector design, attenuation studies, and testing for the νSol project
(Wichita State University, 202005)In order to further work on the Sol project funded through a NASA Phase II NIAC grant, I have performed detailed simulations on the effect of attenuation length on the performance of the Sol solar neutrino probe using ... 
Epileptic foci localization using the inverse source problem for Maxwell's equations
(Wichita State University, 202005)Consider an application of the inverse source problem for Maxwell's equations to the matter of epileptic foci localization in the human brain. Using a current dipole to model the epileptic focus in the brain, and by ... 
Curvature and symmetries of closed fourmanifolds with a lower curvature bound
(Wichita State University, 202005)This thesis details homeomorphism classi cation theorems for closed, simply connected, Riemannian 4manifolds admitting an isometric circle action. We proceed by imposing progressively weaker curvature conditions, which ... 
Quantum neural networks
(Wichita State University, 202005)Quantum computing is becoming a reality, at least on a small scale. However, designing a good quantum algorithm is still a challenging task. This has been a huge major bottleneck in quantum computation for years. In this ... 
Numerical methods for RiemannHilbert problems in multiply connected circle domains
(Wichita State University, 202005)RiemannHilbert problems are problems for determining functions analytic in a given domain with speci ed values on the boundary. Since the real and imaginary parts of an analytic function are related by the CauchyRiemann ... 
Understanding the impact of improved hadron production measurements on accelerator neutrino particle beam flux uncertainties
(Wichita State University, 201912)One of the greatest challenges for neutrino experimentation is understanding the potential uncertainties in the collected data and models that are used for the Monte Carlo simulations. The neutrinonucleus hadronic cross ... 
Advanced forecasting model on land market value based on USA real estate market
(Wichita State University, 201912)This research presents a time series estimation and prediction methods with the use of classic and advanced forecasting tools. Our discussion about di erent time series models is supported by giving the experimental forecast ... 
Stochastic monotonicity of a distribution family associated with matrix projections and its applications
(Wichita State University, 201912)This dissertation defines a distribution family based on the distribution of a random variable associated with the projections of a normally distributed random matrix with un known mean onto a linear space and onto a ... 
Selection optimization of neutral current π⁰ production from an antineutrino interaction in the NOvA near detector
(Wichita State University, 201907)The NOvA experiment (NuMI OffAxis e Appearance) is a particle physics experiment that is designed to measure neutrino oscillation parameters of muon neutrino (ν μ) to electron neutrino (ν e), or muon antineutrino ( ...