Mathematics, Statistics, and Physics
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Deep underground neutrino experiment (DUNE) near detector conceptual design report
(MDPI, 2021-09-29)The Deep Underground Neutrino Experiment (DUNE) is an international, world-class experiment aimed at exploring fundamental questions about the universe that are at the forefront of astrophysics and particle physics research. ... -
Forty-fold speedup of NV- center magnetometry with sequential Bayesian experiment design
(Optica Publishing Group, 2021-05-01)In magnetometry using quantum defects in diamond (NV - centers), we demonstrate forty-fold speedup with sequential Bayesian experiment design as compared with conventional NV-magnetometry using frequency-swept measurements -
Forty-fold speedup of NV- center magnetometry with sequential Bayesian experiment design
(IEEE, 2021-05-01)In magnetometry using quantum defects in diamond (NV - centers), we demonstrate forty-fold speedup with sequential Bayesian experiment design as compared with conventional NV-magnetometry using frequency-swept measurements. -
Enhanced thermal and dielectric performance in ternary $PVDF/PVP/Co_3O_4$ nanocomposites
(Wiley, 2021-11-11)The main objective of this research was to prepare high thermal and dielectric performance $PVDF/PVP/Co_3O_4$ nanocomposites (PVDF, oply(vinylidene fluoride); PVP, polyvinylpyrrolidone) using the method of solution mixing. ... -
Searching for solar KDAR with DUNE
(IOP Publishing, 2021-10-22)The observation of 236 MeV muon neutrinos from kaon-decay-at-rest (KDAR) originating in the core of the Sun would provide a unique signature of dark matter annihilation. Since excellent angle and energy reconstruction are ... -
Mossbauer investigations in hematite nanoparticles
(AMG Transcend Association, 2021-10-16)Hematite nanoparticles of average size 20 nm were synthesized using the sol-gel method, and the structural characterizations were conducted using XRD and TEM. The XRD profile revealed a small fraction of the maghemite ... -
Torus actions, maximality, and non-negative curvature
(De Gruyter, 2021-09-03)Let $ℳ_0^n$ be the class of closed, simply connected, non-negatively curved Riemannian n-manifolds admitting an isometric, effective, isotropy-maximal torus action. We prove that if $M \in ℳ_0^n$ then M is equivariantly ... -
Applied topological data analysis to El-Niño Southern Oscillation
(Wichita State University, 2021-07)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, 2021-07)Gregorio Ricci-Curbastro, (1853-1925) 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 Gromov-Lawson cobordism
(Wichita State University, 2021-08)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, 2021-07)The minimum distance projection of a given matrix $X \in R^{pxq}$ onto the order restricted cone in an appropriately defined inner product system, $\pi(X|C_{pxq}),$ plays an important role in order restricted statistical ... -
On the inverse gravimetry problem with minimal data
(Wichita State University, 2021-07)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 ... -
Seasonal variation of multiple-muon cosmic ray air showers observed in the NOvA detector on the surface
(American Physical Society, 2021-07-30)We report the rate of cosmic ray air showers with multiplicities exceeding 15 muon tracks recorded in the NOvA Far Detector between May 2016 and May 2018. The detector is located on the surface under an overburden of 3.6 ... -
Hyperbolic cosine ratio and hyperbolic sine ratio random fields
(Elsevier, 2021-12)This paper introduces several vector random fields whose finite-dimensional characteristic functions are of hyperbolic type, including generalized logistic, hyperbolic secant, hyperbolic tangent, hyperbolic cosine ratio, ... -
Stellar modeling with low-temperature on-the-fly opacity
(Wichita State University, 2021-05)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 space-based dark matter detector
(Wichita State University, 2021-05)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, 2021-05)The Hopf Conjecture states that for closed, orietable, even-dimensional manifolds, the Euler characteristic is strictly positive. Results due independently to P uttmann and Searle [13] and Rong [14], and due to Rong and ... -
K-combined random fields: Basic properties and stochastic orderings
(Taylor and Francis, 2021-05-17)This paper introduces the K-combined vector random field, whose finite-dimensional characteristic functions are made up of certain power functions and whose finite-dimensional density functions are comprised of the modified ... -
Chronologically dating the early assembly of the Milky Way
(Springer Nature, 2021-05-17)The standard cosmological model predicts that galaxies are built through hierarchical assembly on cosmological timescales$^{1,2}.$ The Milky Way, like other disk galaxies, underwent violent mergers and accretion of small ... -
Supernova neutrino burst detection with the deep underground neutrino experiment
(Springer Nature, 2021-05-15)The Deep Underground Neutrino Experiment (DUNE), a 40-kton underground liquid argon time projection chamber experiment, will be sensitive to the electron-neutrino flavor component of the burst of neutrinos expected from ...
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