### Recent Submissions

• #### 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 ...
• #### 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 ...
• #### 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 ...
• #### 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 ...
• #### Qutrit-inspired fully self-supervised shallow quantum learning network for brain tumor segmentation ﻿

(Institute of Electrical and Electronics Engineers, 2021-05-13)
Classical self-supervised networks suffer from convergence problems and reduced segmentation accuracy due to forceful termination. Qubits or bilevel quantum bits often describe quantum neural network models. In this article, ...
• #### Prospects for beyond the Standard Model physics searches at the Deep Underground Neutrino Experiment: DUNE collaboration ﻿

(Springer Nature, 2021-04-16)
The Deep Underground Neutrino Experiment (DUNE) will be a powerful tool for a variety of physics topics. The high-intensity proton beams provide a large neutrino flux, sampled by a near detector system consisting of a ...
• #### Development, thermal and dielectric investigations of $PVDF-Y_2O_3$ polymer nanocomposite films ﻿

(Springer, 2021-04-03)
This work involves preparing $PVDF-Y_2O_3$ polymer nanocomposites to improve thermal and dielectric properties. X-ray diffraction, SEM, FTIR, TGA and dielectric measurements were applied for these films. The cubic crystal ...
• #### Adjusting neutrino interaction models and evaluating uncertainties using NOvA near detector data ﻿

(EDP Sciences, 2020-12-04)
The two-detector design of the NOvA neutrino oscillation experiment, in which two functionally identical detectors are exposed to an intense neutrino beam, aids in canceling leading order effects of cross-section uncertainties. ...
• #### On the inverse gravimetry problem with minimal data ﻿

(Wichita State University, 2021-04-02)
The inverse problem in gravimetry is to find a domain D inside the reference domain Ω from measurements of gravitational force outside Ω. We first considered the two-dimensional case where we found that about five parameters ...
• #### Attenuation simulations and hardware design for the nuSol Space-based Neutrino Probe ﻿

(Wichita State University, 2021-04-02)
INTRODUCTION: The nuSol project aims to design, build, and launch a small payload which will perform several near-solar approaches in order to demonstrate the viability of a space-based neutrino detector and perform ...
• #### Neutrino interaction classification with a convolutional neural network in the DUNE far detector ﻿

(American Physical Society, 2020-11-09)
The Deep Underground Neutrino Experiment is a next-generation neutrino oscillation experiment that aims to measure CP-violation in the neutrino sector as part of a wider physics program. A deep learning approach based on ...