MATH Research Publications: Recent submissions
Now showing items 120 of 228

Development of a neutrino detector capable of operating in space
(Elsevier B.V., 20230201)The ?SOL 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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
Positively curved Riemannian orbifolds and Alexandrov apaces with circle aymmetry in Dimension 4
(Deutsche Mathematiker Vereinigung, 20211001)We classify positively curved Alexandrov spaces of dimension 4 with an isometric circle action up to equivariant homeomorphism, subject to a certain additional condition on the infinitesimal geometry near fixed points which ... 
Cluster analysis: A modern statistical review
(John Wiley and Sons Inc, 20220819)Cluster analysis is a big, sprawling field. This review paper cannot hope to fully survey the territory. Instead, it focuses on hierarchical agglomerative clustering, kmeans clustering, mixture models, and then several ... 
Opportunities for nitrogenvacancyAssisted magnetometry to study magnetism in 2D van der Waals magnets
(American Institute of Physics Inc., 20220808)Exploring and understanding magnetism in twodimensional (2D) van der Waals (vdW) magnetic materials present a promising route for developing highspeed and lowpower spintronics devices. Studying their magnetic properties ... 
Positive (p,n)intermediate scalar curvature and cobordism
(Elsevier, 20221101)In this paper we consider a wellknown construction due to Gromov and Lawson, Schoen and Yau, Gajer, and Walsh which allows for the extension of a metric of positive scalar curvature over the trace of a surgery in codimension ... 
Improved measurement of neutrino oscillation parameters by the NOvA experiment
(American Physical Society, 20220803)We present new ν μ → ν e , ν μ → ν μ , ¯ ν μ → ¯ ν e , and ¯ ν μ → ¯ ν μ oscillation measurements by the NOvA experiment, with a 50% increase in neutrinomode beam exposure over the previously ... 
NLO multijet merging for Higgs production beyond the VBF approximation
(Springer Nature, 20220813)We present results of the simulation of electroweak Higgs boson production at the Large Hadron Collider using both the NLO multijet merging and NLO matching frameworks provided by the general purpose event generator Herwig ... 
Scintillation light detection in the 6m driftlength ProtoDUNE Dual Phase liquid argon TPC
(Springer, 20220624)DUNE is a dualsite experiment for longbaseline neutrino oscillation studies, neutrino astrophysics and nucleon decay searches. ProtoDUNE Dual Phase (DP) is a 6 × 6 × 6 m3 liquid argon timeprojectionchamber (LArTPC) ... 
A novel Bayesian method for variable selection and estimation in binary quantile regression
(John Wiley & Sons, Ltd, 20220703)In this paper, we develop a Bayesian hierarchical model and associated computation strategy for simultaneously conducting parameter estimation and variable selection in binary quantile regression. We specify customary ... 
Stochastic comparison for elliptically contoured random fields
(Elsevier, 20221001)This paper presents necessary and sufficient conditions for the peakedness comparison and convex ordering between two elliptically contoured random fields about their centers. A somewhat surprising finding is that the ... 
Low exposure longbaseline neutrino oscillation sensitivity of the DUNE experiment
(American Physical Society, 20220425)The Deep Underground Neutrino Experiment (DUNE) will produce worldleading neutrino oscillation measurements over the lifetime of the experiment. In this work, we explore DUNE’s sensitivity to observe chargeparity violation ... 
An adaptive multiresolution ultraweak discontinuous Galerkin method for nonlinear Schrödinger equations
(Springer, 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 ... 
Series representations and simulations of isotropic random fields in the Euclidean space
(American Mathematical Society, 20211207)This paper introduces the series expansion for homogeneous, isotropic and mean square continuous random fields in the Euclidean space, which involves the Bessel function and the ultraspherical polynomial, but differs from ... 
Ages of mainsequence turnoff stars from the GALAH survey
(American Astronomical Society, 20220401)Mainsequence turnoff (MSTO) stars are good tracers of Galactic populations since their ages can be reliably estimated from atmospheric parameters. Based on the GALAH survey, we use the Yale rotation evolution code to ...