Browsing Mathematics, Statistics, and Physics by Title
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Scalar and vector tomography for the weighed transport equation
(Wichita State University, 201805)Beginning with the weighted transport equation, P u(x, ω) = hω, ∇xu(x, ω)i + µ(x)u(x, ω) = ρ(x, ω)a(x), x ∈ ω ⊂ R 2 , we examine the properties of acoustic waves that travel below the surface of a solid, such as the ... 
Scattering problems and stationary waves
(Springer, 2017)The stationary incoming wave u with the wave number k is a solution to the perturbed Helmholtz equation (scattering by medium) Au−k2u=0 in R3 
The SchoenbergLevy kernel and relationships among fractional Brownian motion, bifractional Brownian motion, and others
(Society for Industrial and Applied Mathematics, 2013)Starting with a discussion about the relationship between the fractional Brownian motion and the bifractional Brownian motion on the real line, we find that a fractional Brownian motion can be decomposed as an independent ... 
SchwarzChristoffel mapping of multiply connected domains
(Springer Verlag, 20041201)A SchwarzChristoffel mapping formula is established for polygonal domains of finite connectivity m _> 2 thereby extending the results of Christoffel (1867) and Schwarz (1869) for m = 1 and Komatu (1945), m = 2. A ... 
Search for activesterile neutrino mixing using neutralcurrent interactions in NOvA
(American Physical Society, 20171030)We report results from the first search for sterile neutrinos mixing with active neutrinos through a reduction in the rate of neutralcurrent interactions over a baseline of 810\,km between the NOvA detectors. Analyzing a ... 
Search for multimessenger signals in NOvA coincident with LIGO/Virgo detections
(American Physical Society, 20200622)Using the NOvA neutrino detectors, a broad search has been performed for any signal coincident with 28 gravitational wave events detected by the LIGO/Virgo Collaboration between September 2015 and July 2019. For all of ... 
Search for slow magnetic monopoles with the NOvA detector on the surface
(American Physical Society, 20210111)We report a search for a magnetic monopole component of the cosmicray flux in a 95day exposure of the NOvA experiment's Far Detector, a 14 kt segmented liquid scintillator detector designed primarily to observe GeVscale ... 
Searching for solar KDAR with DUNE
(IOP Publishing, 20211022)The observation of 236 MeV muon neutrinos from kaondecayatrest (KDAR) originating in the core of the Sun would provide a unique signature of dark matter annihilation. Since excellent angle and energy reconstruction are ... 
Seasonal variation of multiplemuon cosmic ray air showers observed in the NOvA detector on the surface
(American Physical Society, 20210730)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 ... 
Selection optimization of neutral current π⁰ production from an antineutrino interaction in the NOvA near detector
(Wichita State University, 201907)The NOvA experiment (NuMI OffAxis e Appearance) is a particle physics experiment that is designed to measure neutrino oscillation parameters of muon neutrino (ν μ) to electron neutrino (ν e), or muon antineutrino ( ... 
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 NOνA neutrino experiment based in Fermilab is designed to measure νµ→νe neutrino oscillations. This experiment will give us insight into the properties of massive neutrinos. Neutral current (NC) νµ,e neutral pion ... 
Series representations of isotropic vector random fields on balls
(Elsevier, 202001)This paper deals with a class of secondorder vector random fields in the unit ball of Rd, whose direct/cross covariances are invariant or isotropic with respect to a distance defined on the ball, and gives a series ... 
Simulations of protostellar collapse using multigroup radiation hydrodynamics II. The second collapse
(EDP Sciences S A, 201309)Context. Star formation begins with the gravitational collapse of a dense core inside a molecular cloud. As the collapse progresses, the centre of the core begins to heat up as it becomes optically thick. The temperature ... 
Singularity among selfsimilar Gaussian random fields with different scaling parameters and others
(Taylor & Francis, 20181102)It is shown in this paper that the probability measures generated by selfsimilar Gaussian random fields are mutually singular, whenever they have different scaling parameters. So are those generated from a selfsimilar ... 
The size of the divergence points for rational maps
(Wichita State University. Graduate School., 20050422) 
Some numerical methods
(Springer, 2017)In this chapter, we will briefly review some popular numerical methods widely used in practice. Of course it is not a comprehensive collection. We will demonstrate certain methods that are simple and widely used or, in our ... 
Some observations regarding steady laminar flows past bluff bodies
(Royal Society, 20140728)Steady laminar flows past simple objects, such as a cylinder or a sphere, have been studied for well over a century. Theoretical, experimental and numerical methods have all contributed fundamentally towards our understanding ... 
Some remarks on constructive Yukawa theory in four dimensions
(Wichita State University, 200805)We have found an exact solution to the nonlinear Yukawa system in four dimensions, and used it to derive the time development of the system. Theorems are stated and proved regarding the essential selfadjointness of the ... 
The space of positive scalar curvature metrics on a manifold with boundary
(20141112)We study the space of Riemannian metrics with positive scalar curvature on a compact manifold with boundary. These metrics extend a fixed boundary metric and take a product structure on a collar neighbourhood of the boundary. ... 
Spatial autoregression and related spatiotemporal models
(Elsevier Inc., 200401)We propose a spatial autoregressive randomfield of order p on the spatial domain Rd for pX2 in this paper, whose univariate margins are the continuoustime autoregression of order p on the real line, and introduce a class ...