Mathematics, Statistics, and Physics
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Accessing gluon polarization with high${P}_{T}$ hadrons in SIDIS
(American Physical Society, 20230227)A recent global QCD analysis of jet production and other polarized scattering data has found the presence of negative solutions for the gluon helicity distribution in the proton, Δg, along with the traditional Δg > 0 ... 
Manifolds with nonnegative curvature operator of the second kind
(World Scientific Publishing Co., 20230113)We investigate the curvature operator of the second kind on Riemannian manifolds and prove several classification results. The first one asserts that a closed Riemannian manifold with threepositive curvature operator of ... 
Modeling the spread of the Coronavirus
(Wichita State University, 5/3/2020)This talk will introduce statistical modeling concepts relating to prediction of COVID rates at a county level and specifically introduce the notion of spatial correlation, which recognizes that there is a connection between ... 
Computing the logarithmic capacity of compact sets having (infinitely) many components with the charge simulation method
(Springer Link, 20230228)We apply the charge simulation method (CSM) in order to compute the logarithmic capacity of compact sets consisting of (infinitely) many “small” components. This application allows to use just a single charge point for ... 
Measurement of the ν$_e$Nucleus ChargedCurrent DoubleDifferential Cross Section at ⟨$E$$_ν$⟩=2.4 GeV Using NOvA
(American Physical Society, 20221108)The inclusive electron neutrino chargedcurrent cross section is measured in the NOvA near detector using 8.02 ×10$^{20}$ protonsontarget in the NuMI beam. The sample of GeV electron neutrino interactions is the largest ... 
A brief treatise on the Joukowski transformation
(Wichita State University, 195406)The problem of predicting the flight characteristics of an arbitrary airfoil is very complicated, and does not readily lend itself to exact mathematical methods. However if certain simplifying assumptions are made the ... 
Topics in theory of numbers
(Wichita State University, 195405) 
Eigenvalue estimates on QuaternionKähler manifolds
(Springer, 20230109)We prove lower bound estimates for the first nonzero eigenvalue of the Laplacian on a compact quaternionKähler manifold. For the closed or Neumann case, the lower bounds depend on dimension, diameter, and lower bound of ... 
Concept for a spacebased nearsolar neutrino detector
(Elsevier B.V., 20230401)The concept of putting a neutrino detector in close orbit of the Sun has been unexplored until very recently. The primary scientific return is to vastly enhance our understanding of the solar interior, which is a major ... 
Numerical computation of a preimage domain for an infinite strip with rectilinear slits
(Springer Link, 20230116)Let Ω be the multiply connected domain in the extended complex plane $\overline {\mathbb {C}}$obtained by removing m nonoverlapping rectilinear segments from the infinite strip $S=\{z : \left \text {Im} z\right <\pi ... 
Development of a neutrino detector capable of operating in space
(Elsevier B.V., 20230201)The vSOL experiment to operate a neutrino detector close to the Sun is building a small test detector to orbit the Earth to test the concept in space. This detector concept is to provide a new way to detect neutrinos ... 
Strong local nondeterminism and exact modulus of continuity for isotropic Gaussian random fields on compact twopoint homogeneous spaces
(Springer International Publishing, 20230103)This paper is concerned with sample path properties of realvalued isotropic Gaussian fields on compact twopoint homogeneous spaces. In particular, we establish the property of strong local nondeterminism of an isotropic ... 
An adaptive multiresolution ultraweak discontinuous Galerkin method for nonlinear Schrödinger equations
(Springer Link, 20210125)This paper develops a highorder adaptive scheme for solving nonlinear Schrödinger equations. The solutions to such equations often exhibit solitary wave and local structures, which make adaptivity essential in improving ... 
Manifolds with $4\frac{1}{2}$Positive Curvature Operator of the Second Kind
(Springer Nature, 20220804)We show that a closed fourmanifold with $4\frac{1}{2}$positive curvature operator of the second kind is diffeomorphic to a spherical space form. The curvature assumption is sharp as both ${\mathbb{CP}\mathbb{}}^2$and ... 
Observational constraints on the origin of the elements
(EDP Sciences, 20220520)Context. The chemical composition of the Sun is required in the context of various studies in astrophysics, among them in the calculation of standard solar models (SSMs) used to describe the evolution of the Sun from the ... 
Vector random fields on the probability simplex with metricdependent covariance matrix functions
(Springer Nature, 20221201)This paper constructs a class of isotropic vector random fields on the probability simplex via infinite series expansions involving the ultraspherical polynomials, whose covariance matrix functions are functions of the ... 
Infinite products
(Wichita State University, 195306) 
Level sets of potential functions bisecting unbounded quadrilaterals
(Birkhauser, 20221110)We study the mixed Dirichlet–Neumann problem for the Laplace equation in the complement of a bounded convex polygonal quadrilateral in the extended complex plane. The Dirichlet/ Neumann conditions at opposite pairs of sides ... 
Separation of track and showerlike energy deposits in ProtoDUNESP using a convolutional neural network
(Springer Link, 20221012)Liquid argon time projection chamber detector technology provides high spatial and calorimetric resolutions on the charged particles traversing liquid argon. As a result, the technology has been used in a number of recent ... 
Conformal capacity and polycircular domains
(Elsevier, 20220913)We study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We compute the conformal capacities of condensers ...