Mathematics, Statistics, and Physics
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Inverse problem for onedimensional wave equation with matrix potential
(De Gruyter, 20190120)We prove a global uniqueness theorem of reconstruction of a matrixpotential a (x, t) {a(x,t)} of onedimensional wave equation □ u + a u = 0 {\square u+au=0}, x > 0, t > 0 {x>0,t>0}, □ = t 2  x 2 {\square=\partial{t}^ ... 
Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions
(Elsevier, 201905)In this paper a likelihood ratio test is developed through matrix projections for the hypothesis on the homogeneity of mean vectors in MANOVA. It is assumed that the mean vectors are under a general multivariate order ... 
Nonnegatively curved 6manifolds with almost maximal symmetry rank
(Springer Nature, 201901)We classify closed, simply connected, nonnegatively curved 6manifolds of almost maximal symmetry rank up to equivariant diffeomorphism. 
Timevarying isotropic vector random fields on compact twopoint homogeneous spaces
(Springer, 2018)A general form of the covariance matrix function is derived in this paper for a vector random field that is isotropic and mean square continuous on a compact connected twopoint homogeneous space and stationary on a temporal ... 
A pseudo restricted MLE under multivariate order restrictions and its algorithm
(Taylor & Francis, 20181221)It is shown in this paper that a quasi order for the vectors in Rp is a cone induced if and only if the order is preservable under limits and under linear combinations with nonnegative coefficients. For the mean vectors ... 
Increased CO2 hydrogenation to liquid products using promoted iron catalysts
(Elsevier, 201901)The effect of alkali promoter (K, Rb and Cs) on the performance of precipitated ironbased catalysts was investigated for carbon dioxide (CO2) hydrogenation. Characterization by temperatureprogrammed reduction with CO, ... 
A forward branching phase space generator for hadron colliders
(Springer Berlin Heidelberg, 201810)In this paper we develop a projective phase space generator appropriate for hadron collider geometry. The generator integrates over bremsstrahlung events which project back to a single, fixed Born event. The projection is ... 
Chapter 1  Quantum neural computation of entanglement is robust to noise and decoherence
(Elsevier, 2017)Measurement and witnesses of entanglement remain an important issue in quantum computing. Most witnesses will work for only a very restricted class of states, while measurements commonly require lengthy procedures. Quantum ... 
A comparison of some numerical conformal mapping methods for simply and multiply connected domains
(American Institute of Mathematical Sciences, 201901)This paper compares some methods for computing conformal maps from simply and multiply connected domains bounded by circles to target domains bounded by smooth curves and curves with corners. We discuss the use of explicit ... 
Inverse source problems without (pseudo) convexity assumptions
(American Institute of Mathematical Sciences, 201808)We study the inverse source problem for the Helmholtz equation from boundary Cauchy data with multiple wave numbers. The main goal of this paper is to study the uniqueness and increasing stability when the (pseudo)convexity ... 
Hydrogenation of carbon dioxide over iron carbide prepared from alkali metal promoted iron oxalate
(Elsevier, 20180825)Iron carbide was prepared by the carburization of iron oxalate doped with various alkali metals in flowing CO at 400 degrees C. The addition of alkali metal (Li, Na, K, Rb or Cs) to iron oxalate was found to decrease the ... 
Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces
(Wichita State University, 201807)We obtain new estimates of stability for continuation of solutions of elliptic inequali ties  ∂u2 < = au2 from finite discrete sets. For this we use Hormander's type of Carleman estimates for ∂bar with boundary ... 
Increasing stability for the inverse scattering source problem with many frequencies
(Wichita State University, 201807)In mathematics and physics, the inverse scattering problem is the problem of determining characteristics of an object, based on data of how it scatters incoming radiation or particles. It is the inverse problem to the ... 
A comparative study of electroweak Higgs boson production at future Hadron Colliders
(Wichita State University, 201807)The discovery of the Higgs boson has opened the door to the next phase of exploration in particle physics. Since the Higgs boson was found in July 2012 at CERN's Large Hadron Collider (LHC), many researches and experiments ... 
Semiinclusive neutral current neutral pion production selection at the NOvA (numi offaxis electron neutrino appearance) near detector using prong level convolutional neural networks
(Wichita State University, 201805)The NONA neutrino experiment based in Fermilab is designed to measure ! e neutrino oscillations. This experiment will give us insight into the properties of massive neutrinos. Neutral current (NC) ;e neutral pion ... 
Monochromatic molecular absorption coefficients for use in calculations of stellar opacity
(Wichita State University, 201805)In order to fully understand stellar structure, it is necessary to know the opacity, as it influences the behavior of radiative transfer within the stellar interior. Opacity plays an important role in the onset of ... 
Stress testing the vectorbosonfusion approximation in multijet final states
(American Physical Society, 20180822)We consider electroweak Higgs plus three jets production at NLO QCD beyond strict VBF acceptance cuts. We investigate, for the first time, how accurate the VBF approximation is in these regions and within perturbative ... 
New constraints on oscillation parameters from v(e) appearance and v(mu) disappearance in the NOvA experiment
(American Physical Society, 20180824)We present updated results from the NOvA experiment for v(mu) > v(mu) and v(mu) > v(e) oscillations from an exposure of 8.85 x 10(20) protons on target, which represents an increase of 46% compared to our previous ... 
Increasing stability in the two dimensional inverse source scattering problem with attenuation and many frequencies
(IOP Publishing, 20180822)In this paper, we investigate the interior inverse source problem for the Helmholtz equation with attenuation in the plane from boundary Cauchy data of multiple frequencies when the source term is assumed to be compactly ... 
Scalar and vector tomography for the weighed transport equation
(Wichita State University, 201805)This dissertation is embargoed to May 2019.